toshiki-notebook/assets/academic_physics_ipho-formulas-jpn_8.md.fb9a35b9.lean.js

import{_ as t,c as n,o as m,d as l,a as s,b as a}from"./app.c5602d86.js";const N=JSON.parse('{"title":"Formulas for IPhO 日本語版: Section 8","description":"","frontmatter":{},"headers":[{"level":2,"title":"8: 電気回路","slug":"_8-電気回路","link":"#_8-電気回路","children":[{"level":3,"title":"8.1: V=I R, P=V I","slug":"_8-1-v-i-r-p-v-i","link":"#_8-1-v-i-r-p-v-i","children":[]},{"level":3,"title":"8.2: Kirchhoff の法則","slug":"_8-2-kirchhoff-の法則","link":"#_8-2-kirchhoff-の法則","children":[]},{"level":3,"title":"8.3: ポイント 2 の方程式を減らすために","slug":"_8-3-ポイント-2-の方程式を減らすために","link":"#_8-3-ポイント-2-の方程式を減らすために","children":[]},{"level":3,"title":"8.4: 無限につながる抵抗","slug":"_8-4-無限につながる抵抗","link":"#_8-4-無限につながる抵抗","children":[]},{"level":3,"title":"8.5: 交流回路","slug":"_8-5-交流回路","link":"#_8-5-交流回路","children":[]},{"level":3,"title":"8.6: 特性時間","slug":"_8-6-特性時間","link":"#_8-6-特性時間","children":[]},{"level":3,"title":"8.7: 電気回路のエネルギー保存則","slug":"_8-7-電気回路のエネルギー保存則","link":"#_8-7-電気回路のエネルギー保存則","children":[]},{"level":3,"title":"8.8: コンデンサーの位置エネルギー式","slug":"_8-8-コンデンサーの位置エネルギー式","link":"#_8-8-コンデンサーの位置エネルギー式","children":[]},{"level":3,"title":"8.9: 磁束密度","slug":"_8-9-磁束密度","link":"#_8-9-磁束密度","children":[]},{"level":3,"title":"8.10: 非線形素子","slug":"_8-10-非線形素子","link":"#_8-10-非線形素子","children":[]},{"level":3,"title":"8.11: 短時間と長時間の極限を利用","slug":"_8-11-短時間と長時間の極限を利用","link":"#_8-11-短時間と長時間の極限を利用","children":[]},{"level":3,"title":"8.12: 推論","slug":"_8-12-推論","link":"#_8-12-推論","children":[]},{"level":3,"title":"8.13: 超電導の回路","slug":"_8-13-超電導の回路","link":"#_8-13-超電導の回路","children":[]},{"level":3,"title":"8.14: 相互誘導","slug":"_8-14-相互誘導","link":"#_8-14-相互誘導","children":[]}]}],"relativePath":"academic/physics/ipho-formulas-jpn/8.md","lastUpdated":1679474503000}'),e={name:"academic/physics/ipho-formulas-jpn/8.md"},i=l("",3),r=s("ol",null,[s("li",null,[s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"V"),s("mo",null,"="),s("mi",null,"I"),s("mi",null,"R"),s("mo",{separator:"true"},","),s("mi",null,"P"),s("mo",null,"="),s("mi",null,"V"),s("mi",null,"I")]),s("annotation",{encoding:"application/x-tex"},"V=I R, P=V I")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8778em","vertical-align":"-0.1944em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.00773em"}},"R"),s("span",{class:"mpunct"},","),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.13889em"}},"P"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I")])])]),s("p",{class:"katex-block"},[s("span",{class:"katex-display"},[s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"R"),s("mtext",null,"直列 ")]),s("mo",null,"="),s("mo",null,"∑"),s("msub",null,[s("mi",null,"R"),s("mi",null,"i")]),s("mo",{separator:"true"},","),s("msubsup",null,[s("mi",null,"R"),s("mtext",null,"並列 "),s("mrow",null,[s("mo",null,"−"),s("mn",null,"1")])]),s("mo",null,"="),s("mo",null,"∑"),s("msubsup",null,[s("mi",null,"R"),s("mi",null,"i"),s("mrow",null,[s("mo",null,"−"),s("mn",null,"1")])])]),s("annotation",{encoding:"application/x-tex"},"R_{\\text {直列 }}=\\sum R_i, R_{\\text {並列 }}^{-1}=\\sum R_i^{-1} ")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8333em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.00773em"}},"R"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0077em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord text mtight"},[s("span",{class:"mord cjk_fallback mtight"},"直列"),s("span",{class:"mord mtight"}," ")])])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1.6em","vertical-align":"-0.55em"}}),s("span",{class:"mop op-symbol large-op",style:{position:"relative",top:"0em"}},"∑"),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.00773em"}},"R"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3117em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0077em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mathnormal mtight"},"i")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mpunct"},","),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.00773em"}},"R"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.8641em"}},[s("span",{style:{top:"-2.4163em","margin-left":"-0.0077em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord text mtight"},[s("span",{class:"mord cjk_fallback mtight"},"並列"),s("span",{class:"mord mtight"}," ")])])])]),s("span",{style:{top:"-3.113em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mtight"},"−"),s("span",{class:"mord mtight"},"1")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.2837em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1.6em","vertical-align":"-0.55em"}}),s("span",{class:"mop op-symbol large-op",style:{position:"relative",top:"0em"}},"∑"),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.00773em"}},"R"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.8641em"}},[s("span",{style:{top:"-2.433em","margin-left":"-0.0077em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mathnormal mtight"},"i")])]),s("span",{style:{top:"-3.113em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mtight"},"−"),s("span",{class:"mord mtight"},"1")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.267em"}},[s("span")])])])])])])])])])])])],-1),p=s("h3",{id:"_8-2-kirchhoff-の法則",tabindex:"-1"},[a("8.2: Kirchhoff の法則 "),s("a",{class:"header-anchor",href:"#_8-2-kirchhoff-の法則","aria-hidden":"true"},"#")],-1),c=s("ol",{start:"2"},[s("li",null,[a("Kirchhoff の法則 :"),s("p",{class:"katex-block"},[s("span",{class:"katex-display"},[s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("semantics",null,[s("mrow",null,[s("munder",null,[s("mo",null,"∑"),s("mstyle",{scriptlevel:"1"},[s("mtable",{rowspacing:"0.1em",columnalign:"center",columnspacing:"1em"},[s("mtr",null,[s("mtd",null,[s("mstyle",{scriptlevel:"1",displaystyle:"false"},[s("mtext",null," 節点 ")])])])])])]),s("mi",null,"I"),s("mo",null,"="),s("mn",null,"0"),s("mo",{separator:"true"},","),s("munder",null,[s("mo",null,"∑"),s("mtext",null,"閉路 ")]),s("mi",null,"V"),s("mo",null,"="),s("mn",null,"0")]),s("annotation",{encoding:"application/x-tex"},"\\sum_{\\substack{\\text { 節点 }}} I=0, \\sum_{\\text {閉路 }} V=0 ")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"2.4703em","vertical-align":"-1.4203em"}}),s("span",{class:"mop op-limits"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"1.05em"}},[s("span",{style:{top:"-1.8568em","margin-left":"0em"}},[s("span",{class:"pstrut",style:{height:"3.05em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mtable"},[s("span",{class:"col-align-c"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.6817em"}},[s("span",{style:{top:"-2.6983em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"mord mtight"},[s("span",{class:"mord text mtight"},[s("span",{class:"mord mtight"}," "),s("span",{class:"mord cjk_fallback mtight"},"節点"),s("span",{class:"mord mtight"}," ")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.1817em"}},[s("span")])])])])])])])])]),s("span",{style:{top:"-3.05em"}},[s("span",{class:"pstrut",style:{height:"3.05em"}}),s("span",null,[s("span",{class:"mop op-symbol large-op"},"∑")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"1.4203em"}},[s("span")])])])]),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"2.3443em","vertical-align":"-1.2943em"}}),s("span",{class:"mord"},"0"),s("span",{class:"mpunct"},","),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mop op-limits"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"1.05em"}},[s("span",{style:{top:"-1.8557em","margin-left":"0em"}},[s("span",{class:"pstrut",style:{height:"3.05em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord text mtight"},[s("span",{class:"mord cjk_fallback mtight"},"閉路"),s("span",{class:"mord mtight"}," ")])])])]),s("span",{style:{top:"-3.05em"}},[s("span",{class:"pstrut",style:{height:"3.05em"}}),s("span",null,[s("span",{class:"mop op-symbol large-op"},"∑")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"1.2943em"}},[s("span")])])])]),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6444em"}}),s("span",{class:"mord"},"0")])])])])])])],-1),h=s("h3",{id:"_8-3-ポイント-2-の方程式を減らすために",tabindex:"-1"},[a("8.3: ポイント 2 の方程式を減らすために "),s("a",{class:"header-anchor",href:"#_8-3-ポイント-2-の方程式を減らすために","aria-hidden":"true"},"#")],-1),g=s("ol",{start:"3"},[s("li",null,[a("ポイント 2 の方程式を減らすために: 節点電位法. ルー プ電流法. 等価回路 (3 端子の場合 "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mo",null,"⇒"),s("mi",{mathvariant:"normal"},"△"),s("mtext",null,"又")]),s("annotation",{encoding:"application/x-tex"},"\\Rightarrow \\triangle 又")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.3669em"}}),s("span",{class:"mrel"},"⇒"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8889em","vertical-align":"-0.1944em"}}),s("span",{class:"mord"},"△"),s("span",{class:"mord cjk_fallback"},"又")])])]),a(" 又 "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"Y")]),s("annotation",{encoding:"application/x-tex"},"Y")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"Y")])])]),a(" の形, 起電力のある 2 端子の場合 "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mo",null,"⇒")]),s("annotation",{encoding:"application/x-tex"},"\\Rightarrow")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.3669em"}}),s("span",{class:"mrel"},"⇒")])])]),a(" 抵抗と電池の直列)")])],-1),o=l("",3),u=s("ol",{start:"5"},[s("li",null,[a("交流回路: "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"R")]),s("annotation",{encoding:"application/x-tex"},"R")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.00773em"}},"R")])])]),a(" を "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"Z")]),s("annotation",{encoding:"application/x-tex"},"Z")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"Z")])])]),a(" に置き換えてポイント "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mn",null,"1"),s("mo",null,"∼"),s("mn",null,"4")]),s("annotation",{encoding:"application/x-tex"},"1 \\sim 4")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6444em"}}),s("span",{class:"mord"},"1"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"∼"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6444em"}}),s("span",{class:"mord"},"4")])])]),a(" を用 いる."),s("p",{class:"katex-block"},[s("span",{class:"katex-display"},[s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("semantics",null,[s("mtable",{rowspacing:"0.25em",columnalign:"center",columnspacing:"0em"},[s("mtr",null,[s("mtd",null,[s("mstyle",{scriptlevel:"0",displaystyle:"true"},[s("mrow",null,[s("msub",null,[s("mi",null,"Z"),s("mi",null,"R")]),s("mo",null,"="),s("mi",null,"R"),s("mo",{separator:"true"},","),s("msub",null,[s("mi",null,"Z"),s("mi",null,"C")]),s("mo",null,"="),s("mn",null,"1"),s("mi",{mathvariant:"normal"},"/"),s("mi",null,"i"),s("mi",null,"ω"),s("mi",null,"C"),s("mo",{separator:"true"},","),s("msub",null,[s("mi",null,"Z"),s("mi",null,"L")]),s("mo",null,"="),s("mi",null,"i"),s("mi",null,"ω"),s("mi",null,"L")])])])]),s("mtr",null,[s("mtd",null,[s("mstyle",{scriptlevel:"0",displaystyle:"true"},[s("mrow",null,[s("mi",null,"φ"),s("mo",null,"="),s("mi",null,"arg"),s("mo",null,"⁡"),s("mi",null,"Z"),s("mo",{separator:"true"},","),s("msub",null,[s("mi",null,"V"),s("mtext",null,"eff ")]),s("mo",null,"="),s("mi",{mathvariant:"normal"},"∣"),s("mi",null,"Z"),s("mi",{mathvariant:"normal"},"∣"),s("msub",null,[s("mi",null,"I"),s("mtext",null,"eff ")])])])])]),s("mtr",null,[s("mtd",null,[s("mstyle",{scriptlevel:"0",displaystyle:"true"},[s("mrow",null,[s("mi",null,"P"),s("mo",null,"="),s("mi",{mathvariant:"normal"},"∣"),s("mi",null,"V"),s("mi",{mathvariant:"normal"},"∣"),s("mi",{mathvariant:"normal"},"∣"),s("mi",null,"I"),s("mi",{mathvariant:"normal"},"∣"),s("mi",null,"cos"),s("mo",null,"⁡"),s("mo",{stretchy:"false"},"("),s("mi",null,"arg"),s("mo",null,"⁡"),s("mi",null,"Z"),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mo",null,"∑"),s("msubsup",null,[s("mi",null,"I"),s("mi",null,"i"),s("mn",null,"2")]),s("msub",null,[s("mi",null,"R"),s("mi",null,"i")])])])])])]),s("annotation",{encoding:"application/x-tex"},"\\begin{gathered} Z_R=R, Z_C=1 / i \\omega C, Z_L=i \\omega L \\\\ \\varphi=\\arg Z, V_{\\text {eff }}=|Z| I_{\\text {eff }} \\\\ P=|V||I| \\cos (\\arg Z)=\\sum I_i^2 R_i \\end{gathered} ")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"4.9em","vertical-align":"-2.2em"}}),s("span",{class:"mord"},[s("span",{class:"mtable"},[s("span",{class:"col-align-c"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"2.7em"}},[s("span",{style:{top:"-4.91em"}},[s("span",{class:"pstrut",style:{height:"3.05em"}}),s("span",{class:"mord"},[s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"Z"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0715em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.00773em"}},"R")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.00773em"}},"R"),s("span",{class:"mpunct"},","),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"Z"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0715em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.07153em"}},"C")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mord"},"1/"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.03588em"}},"iω"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"C"),s("span",{class:"mpunct"},","),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"Z"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0715em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mathnormal mtight"},"L")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.03588em"}},"iω"),s("span",{class:"mord mathnormal"},"L")])]),s("span",{style:{top:"-3.41em"}},[s("span",{class:"pstrut",style:{height:"3.05em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal"},"φ"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mop"},[a("ar"),s("span",{style:{"margin-right":"0.01389em"}},"g")]),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"Z"),s("span",{class:"mpunct"},","),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3361em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.2222em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord text mtight"},[s("span",{class:"mord mtight"},"eff ")])])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mord"},"∣"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"Z"),s("span",{class:"mord"},"∣"),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3361em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0785em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord text mtight"},[s("span",{class:"mord mtight"},"eff ")])])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])])])]),s("span",{style:{top:"-1.7em"}},[s("span",{class:"pstrut",style:{height:"3.05em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.13889em"}},"P"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mord"},"∣"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V"),s("span",{class:"mord"},"∣∣"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"mord"},"∣"),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mop"},"cos"),s("span",{class:"mopen"},"("),s("span",{class:"mop"},[a("ar"),s("span",{style:{"margin-right":"0.01389em"}},"g")]),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"Z"),s("span",{class:"mclose"},")"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mop op-symbol large-op",style:{position:"relative",top:"0em"}},"∑"),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.8641em"}},[s("span",{style:{top:"-2.453em","margin-left":"-0.0785em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mathnormal mtight"},"i")])]),s("span",{style:{top:"-3.113em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},"2")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.247em"}},[s("span")])])])])]),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.00773em"}},"R"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3117em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0077em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mathnormal mtight"},"i")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"2.2em"}},[s("span")])])])])])])])])])])])])],-1),d=s("h3",{id:"_8-6-特性時間",tabindex:"-1"},[a("8.6: 特性時間 "),s("a",{class:"header-anchor",href:"#_8-6-特性時間","aria-hidden":"true"},"#")],-1),y=s("ol",{start:"6"},[s("li",null,[a("特性時間: "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"τ"),s("mrow",null,[s("mi",null,"R"),s("mi",null,"C")])]),s("mo",null,"="),s("mi",null,"R"),s("mi",null,"C"),s("mo",{separator:"true"},","),s("msub",null,[s("mi",null,"τ"),s("mrow",null,[s("mi",null,"L"),s("mi",null,"R")])]),s("mo",null,"="),s("mi",null,"L"),s("mi",{mathvariant:"normal"},"/"),s("mi",null,"R"),s("mi",{mathvariant:"normal"},"."),s("msub",null,[s("mi",null,"ω"),s("mrow",null,[s("mi",null,"L"),s("mi",null,"C")])]),s("mo",null,"=")]),s("annotation",{encoding:"application/x-tex"},"\\tau_{R C}=R C, \\tau_{L R}=L / R . \\omega_{L C}=")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.5806em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.1132em"}},"τ"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.1132em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.07153em"}},"RC")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8778em","vertical-align":"-0.1944em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"RC"),s("span",{class:"mpunct"},","),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.1132em"}},"τ"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.1132em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mathnormal mtight"},"L"),s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.00773em"}},"R")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1em","vertical-align":"-0.25em"}}),s("span",{class:"mord mathnormal"},"L"),s("span",{class:"mord"},"/"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.00773em"}},"R"),s("span",{class:"mord"},"."),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.03588em"}},"ω"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0359em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mathnormal mtight"},"L"),s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.07153em"}},"C")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"=")])])]),a(),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mn",null,"1"),s("mi",{mathvariant:"normal"},"/"),s("msqrt",null,[s("mrow",null,[s("mi",null,"L"),s("mi",null,"C")])])]),s("annotation",{encoding:"application/x-tex"},"1 / \\sqrt{L C}")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1.1767em","vertical-align":"-0.25em"}}),s("span",{class:"mord"},"1/"),s("span",{class:"mord sqrt"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.9267em"}},[s("span",{class:"svg-align",style:{top:"-3em"}},[s("span",{class:"pstrut",style:{height:"3em"}}),s("span",{class:"mord",style:{"padding-left":"0.833em"}},[s("span",{class:"mord mathnormal"},"L"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"C")])]),s("span",{style:{top:"-2.8867em"}},[s("span",{class:"pstrut",style:{height:"3em"}}),s("span",{class:"hide-tail",style:{"min-width":"0.853em",height:"1.08em"}},[s("svg",{xmlns:"http://www.w3.org/2000/svg",width:"400em",height:"1.08em",viewBox:"0 0 400000 1080",preserveAspectRatio:"xMinYMin slice"},[s("path",{d:`M95,702
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l0 -0
c5.3,-9.3,12,-14,20,-14
H400000v40H845.2724
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M834 80h400000v40h-400000z`})])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.1133em"}},[s("span")])])])])])])]),a(". 定常的な電流分布への緩和は指数関数的で "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mo",null,"∝"),s("msup",null,[s("mi",null,"e"),s("mrow",null,[s("mo",null,"−"),s("mi",null,"t"),s("mi",{mathvariant:"normal"},"/"),s("mi",null,"τ")])])]),s("annotation",{encoding:"application/x-tex"},"\\propto e^{-t / \\tau}")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.4306em"}}),s("span",{class:"mrel"},"∝"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.888em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal"},"e"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.888em"}},[s("span",{style:{top:"-3.063em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mtight"},"−"),s("span",{class:"mord mathnormal mtight"},"t"),s("span",{class:"mord mtight"},"/"),s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.1132em"}},"τ")])])])])])])])])])])])])],-1),v=s("h3",{id:"_8-7-電気回路のエネルギー保存則",tabindex:"-1"},[a("8.7: 電気回路のエネルギー保存則 "),s("a",{class:"header-anchor",href:"#_8-7-電気回路のエネルギー保存則","aria-hidden":"true"},"#")],-1),x=s("ol",{start:"8"},[s("li",null,[a("電気回路のエネルギー保存則 : "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",{mathvariant:"normal"},"Δ"),s("mi",null,"W"),s("mo",null,"+"),s("mi",null,"Q"),s("mo",null,"="),s("mi",null,"q"),s("mi",null,"V")]),s("annotation",{encoding:"application/x-tex"},"\\Delta W+Q=q V")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.7667em","vertical-align":"-0.0833em"}}),s("span",{class:"mord"},"Δ"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.13889em"}},"W"),s("span",{class:"mspace",style:{"margin-right":"0.2222em"}}),s("span",{class:"mbin"},"+"),s("span",{class:"mspace",style:{"margin-right":"0.2222em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8778em","vertical-align":"-0.1944em"}}),s("span",{class:"mord mathnormal"},"Q"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8778em","vertical-align":"-0.1944em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.03588em"}},"q"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V")])])]),a(". ここ で "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"q")]),s("annotation",{encoding:"application/x-tex"},"q")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.625em","vertical-align":"-0.1944em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.03588em"}},"q")])])]),a(" は電圧降下 "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"V")]),s("annotation",{encoding:"application/x-tex"},"V")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V")])])]),a(" を通った電気量で, 電源のする仕事 は "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"A"),s("mo",null,"="),s("mi",null,"q"),s("msub",null,[s("mi",null,"V"),s("mrow",null,[s("mi",{mathvariant:"normal"},"e"),s("mi",{mathvariant:"normal"},"m"),s("mi",{mathvariant:"normal"},"f")])])]),s("annotation",{encoding:"application/x-tex"},"A=q V_{\\mathrm{emf}}")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal"},"A"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8778em","vertical-align":"-0.1944em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.03588em"}},"q"),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3361em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.2222em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mathrm mtight",style:{"margin-right":"0.07778em"}},"emf")])])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])])])])])])],-1),w=s("h3",{id:"_8-8-コンデンサーの位置エネルギー式",tabindex:"-1"},[a("8.8: コンデンサーの位置エネルギー式 "),s("a",{class:"header-anchor",href:"#_8-8-コンデンサーの位置エネルギー式","aria-hidden":"true"},"#")],-1),b=s("ol",{start:"8"},[s("li",null,[a("コンデンサーの位置エネルギー式: "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"W"),s("mi",null,"C")]),s("mo",null,"="),s("mi",null,"C"),s("msup",null,[s("mi",null,"V"),s("mn",null,"2")]),s("mi",{mathvariant:"normal"},"/"),s("mn",null,"2"),s("mo",{separator:"true"},","),s("msub",null,[s("mi",null,"W"),s("mi",null,"L")]),s("mo",null,"="),s("mi",null,"L"),s("msup",null,[s("mi",null,"I"),s("mn",null,"2")]),s("mi",{mathvariant:"normal"},"/"),s("mn",null,"2")]),s("annotation",{encoding:"application/x-tex"},"W_C=C V^2 / 2, W_L=L I^2 / 2")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8333em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.13889em"}},"W"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.1389em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.07153em"}},"C")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1.0641em","vertical-align":"-0.25em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"C"),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.8141em"}},[s("span",{style:{top:"-3.063em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},"2")])])])])])])]),s("span",{class:"mord"},"/2"),s("span",{class:"mpunct"},","),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.13889em"}},"W"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.1389em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mathnormal mtight"},"L")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1.0641em","vertical-align":"-0.25em"}}),s("span",{class:"mord mathnormal"},"L"),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.8141em"}},[s("span",{style:{top:"-3.063em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},"2")])])])])])])]),s("span",{class:"mord"},"/2")])])]),a(".")])],-1),_=s("h3",{id:"_8-9-磁束密度",tabindex:"-1"},[a("8.9: 磁束密度 "),s("a",{class:"header-anchor",href:"#_8-9-磁束密度","aria-hidden":"true"},"#")],-1),k=s("ol",{start:"9"},[s("li",null,[s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"V"),s("mrow",null,[s("mi",{mathvariant:"normal"},"e"),s("mi",{mathvariant:"normal"},"m"),s("mi",{mathvariant:"normal"},"f")])]),s("mo",null,"="),s("mo",null,"−"),s("mi",{mathvariant:"normal"},"d"),s("mi",{mathvariant:"normal"},"Φ"),s("mi",{mathvariant:"normal"},"/"),s("mi",{mathvariant:"normal"},"d"),s("mi",null,"t"),s("mo",null,"="),s("mi",{mathvariant:"normal"},"d"),s("mo",{stretchy:"false"},"("),s("mi",null,"L"),s("mi",null,"I"),s("mo",{stretchy:"false"},")"),s("mi",{mathvariant:"normal"},"/"),s("mi",{mathvariant:"normal"},"d"),s("mi",null,"t"),s("mo",{separator:"true"},","),s("mi",{mathvariant:"normal"},"Φ"),s("mo",null,"="),s("mi",null,"B"),s("mi",null,"S")]),s("annotation",{encoding:"application/x-tex"},"V_{\\mathrm{emf}}=-\\mathrm{d} \\Phi / \\mathrm{d} t=\\mathrm{d}(L I) / \\mathrm{d} t, \\Phi=B S")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8333em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3361em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.2222em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mathrm mtight",style:{"margin-right":"0.07778em"}},"emf")])])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1em","vertical-align":"-0.25em"}}),s("span",{class:"mord"},"−"),s("span",{class:"mord mathrm"},"d"),s("span",{class:"mord"},"Φ/"),s("span",{class:"mord mathrm"},"d"),s("span",{class:"mord mathnormal"},"t"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1em","vertical-align":"-0.25em"}}),s("span",{class:"mord mathrm"},"d"),s("span",{class:"mopen"},"("),s("span",{class:"mord mathnormal"},"L"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"mclose"},")"),s("span",{class:"mord"},"/"),s("span",{class:"mord mathrm"},"d"),s("span",{class:"mord mathnormal"},"t"),s("span",{class:"mpunct"},","),s("span",{class:"mspace",style:{"margin-right":"0.1667em"}}),s("span",{class:"mord"},"Φ"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.05764em"}},"BS")])])]),a(".")])],-1),M=s("h3",{id:"_8-10-非線形素子",tabindex:"-1"},[a("8.10: 非線形素子 "),s("a",{class:"header-anchor",href:"#_8-10-非線形素子","aria-hidden":"true"},"#")],-1),z=s("ol",{start:"10"},[s("li",null,[a("非 線形素子: "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"V"),s("mo",null,"−"),s("mi",null,"I")]),s("annotation",{encoding:"application/x-tex"},"V-I")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.7667em","vertical-align":"-0.0833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V"),s("span",{class:"mspace",style:{"margin-right":"0.2222em"}}),s("span",{class:"mbin"},"−"),s("span",{class:"mspace",style:{"margin-right":"0.2222em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I")])])]),a(" グラフでの非線形曲線と Ohm/Kirchhoff の法則を表す直線との交点として 为形的に解を求める. 複数の交点があれば安定性を調 ベる. いくつかの解は普通安定でない.")])],-1),f=s("h3",{id:"_8-11-短時間と長時間の極限を利用",tabindex:"-1"},[a("8.11: 短時間と長時間の極限を利用 "),s("a",{class:"header-anchor",href:"#_8-11-短時間と長時間の極限を利用","aria-hidden":"true"},"#")],-1),L=s("ol",{start:"11"},[s("li",null,[a("短時間と長時間の極限を利用する: "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"t"),s("mtext",null,"observation ")]),s("mo",null,"≫")]),s("annotation",{encoding:"application/x-tex"},"t_{\\text {observation }} \\gg")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.7651em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal"},"t"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3361em"}},[s("span",{style:{top:"-2.55em","margin-left":"0em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord text mtight"},[s("span",{class:"mord mtight"},"observation ")])])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"≫")])])]),a(),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"τ"),s("mrow",null,[s("mi",null,"R"),s("mi",null,"C")])])]),s("annotation",{encoding:"application/x-tex"},"\\tau_{R C}")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.5806em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.1132em"}},"τ"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.1132em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.07153em"}},"RC")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])])])])]),a(" or "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"τ"),s("mrow",null,[s("mi",null,"L"),s("mi",null,"R")])])]),s("annotation",{encoding:"application/x-tex"},"\\tau_{L R}")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.5806em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.1132em"}},"τ"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.1132em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mathnormal mtight"},"L"),s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.00773em"}},"R")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])])])])]),a(" ならば, "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"I"),s("mi",null,"C")]),s("mo",null,"≈"),s("mn",null,"0"),s("mo",{stretchy:"false"},"("),s("mi",null,"C")]),s("annotation",{encoding:"application/x-tex"},"I_C \\approx 0(C")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8333em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0785em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.07153em"}},"C")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"≈"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1em","vertical-align":"-0.25em"}}),s("span",{class:"mord"},"0"),s("span",{class:"mopen"},"("),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"C")])])]),a(" は断線している）又 は "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"V"),s("mi",null,"L")]),s("mo",null,"≈"),s("mn",null,"0")]),s("annotation",{encoding:"application/x-tex"},"V_L \\approx 0")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8333em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.22222em"}},"V"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.2222em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mathnormal mtight"},"L")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"≈"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6444em"}}),s("span",{class:"mord"},"0")])])]),a(" ( "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"L")]),s("annotation",{encoding:"application/x-tex"},"L")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal"},"L")])])]),a(" は短絡している）のような準平衡状態に 達する. "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"t"),s("mtext",null,"observation ")]),s("mo",null,"≪"),s("msub",null,[s("mi",null,"τ"),s("mrow",null,[s("mi",null,"R"),s("mi",null,"C")])])]),s("annotation",{encoding:"application/x-tex"},"t_{\\text {observation }} \\ll \\tau_{R C}")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.7651em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal"},"t"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3361em"}},[s("span",{style:{top:"-2.55em","margin-left":"0em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord text mtight"},[s("span",{class:"mord mtight"},"observation ")])])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"≪"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.5806em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.1132em"}},"τ"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.1132em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.07153em"}},"RC")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])])])])]),a(" or "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"τ"),s("mrow",null,[s("mi",null,"L"),s("mi",null,"R")])])]),s("annotation",{encoding:"application/x-tex"},"\\tau_{L R}")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.5806em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.1132em"}},"τ"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3283em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.1132em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mathnormal mtight"},"L"),s("span",{class:"mord mathnormal mtight",style:{"margin-right":"0.00773em"}},"R")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])])])])]),a(" ならば, "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"C")]),s("annotation",{encoding:"application/x-tex"},"C")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"C")])])]),a(" の電 気量の変化や "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"L")]),s("annotation",{encoding:"application/x-tex"},"L")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal"},"L")])])]),a(" での電流の変化は小さく, "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",{mathvariant:"normal"},"Δ"),s("mi",null,"Q"),s("mo",null,"≪"),s("mi",null,"Q")]),s("annotation",{encoding:"application/x-tex"},"\\Delta Q \\ll Q")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8778em","vertical-align":"-0.1944em"}}),s("span",{class:"mord"},"Δ"),s("span",{class:"mord mathnormal"},"Q"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"≪"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8778em","vertical-align":"-0.1944em"}}),s("span",{class:"mord mathnormal"},"Q")])])]),a(" や "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",{mathvariant:"normal"},"Δ"),s("mi",null,"I"),s("mo",null,"≪"),s("mi",null,"I")]),s("annotation",{encoding:"application/x-tex"},"\\Delta I \\ll I")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.7224em","vertical-align":"-0.0391em"}}),s("span",{class:"mord"},"Δ"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"≪"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I")])])]),a(". 即ち "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"C")]),s("annotation",{encoding:"application/x-tex"},"C")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07153em"}},"C")])])]),a(" は短絡していて "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"L")]),s("annotation",{encoding:"application/x-tex"},"L")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal"},"L")])])]),a(" は断線して いる.")])],-1),I=s("h3",{id:"_8-12-推論",tabindex:"-1"},[a("8.12: 推論 "),s("a",{class:"header-anchor",href:"#_8-12-推論","aria-hidden":"true"},"#")],-1),R=s("ol",{start:"12"},[s("li",null,[s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"L"),s("mo",{mathvariant:"normal"},"≠"),s("mn",null,"0")]),s("annotation",{encoding:"application/x-tex"},"L \\neq 0")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8889em","vertical-align":"-0.1944em"}}),s("span",{class:"mord mathnormal"},"L"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},[s("span",{class:"mrel"},[s("span",{class:"mord vbox"},[s("span",{class:"thinbox"},[s("span",{class:"rlap"},[s("span",{class:"strut",style:{height:"0.8889em","vertical-align":"-0.1944em"}}),s("span",{class:"inner"},[s("span",{class:"mord"},[s("span",{class:"mrel"},"")])]),s("span",{class:"fix"})])])])]),s("span",{class:"mrel"},"=")]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6444em"}}),s("span",{class:"mord"},"0")])])]),a(" ならば, "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"I"),s("mo",{stretchy:"false"},"("),s("mi",null,"t"),s("mo",{stretchy:"false"},")")]),s("annotation",{encoding:"application/x-tex"},"I(t)")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1em","vertical-align":"-0.25em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"mopen"},"("),s("span",{class:"mord mathnormal"},"t"),s("span",{class:"mclose"},")")])])]),a(" は連続.")])],-1),V=s("h3",{id:"_8-13-超電導の回路",tabindex:"-1"},[a("8.13: 超電導の回路 "),s("a",{class:"header-anchor",href:"#_8-13-超電導の回路","aria-hidden":"true"},"#")],-1),C=s("ol",{start:"13"},[s("li",null,[a("超電導の回路について, 磁束 "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",{mathvariant:"normal"},"Φ"),s("mo",null,"=")]),s("annotation",{encoding:"application/x-tex"},"\\Phi=")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord"},"Φ"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"=")])])]),a(" const.. 特に, 外部 磁場が無ければ "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"L"),s("mi",null,"I"),s("mo",null,"=")]),s("annotation",{encoding:"application/x-tex"},"L I=")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal"},"L"),s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"=")])])]),a(" const.")])],-1),Z=s("h3",{id:"_8-14-相互誘導",tabindex:"-1"},[a("8.14: 相互誘導 "),s("a",{class:"header-anchor",href:"#_8-14-相互誘導","aria-hidden":"true"},"#")],-1),P=s("ol",{start:"14"},[s("li",null,[a("相互誘導 : 回路 1 を通る磁束は "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",{mathvariant:"normal"},"Φ"),s("mn",null,"1")]),s("mo",null,"="),s("msub",null,[s("mi",null,"L"),s("mn",null,"1")]),s("msub",null,[s("mi",null,"I"),s("mn",null,"1")]),s("mo",null,"+"),s("msub",null,[s("mi",null,"L"),s("mn",null,"12")]),s("msub",null,[s("mi",null,"I"),s("mn",null,"2")])]),s("annotation",{encoding:"application/x-tex"},"\\Phi_1=L_1 I_1+L_{12} I_2")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8333em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord"},"Φ"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3011em"}},[s("span",{style:{top:"-2.55em","margin-left":"0em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},"1")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8333em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal"},"L"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3011em"}},[s("span",{style:{top:"-2.55em","margin-left":"0em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},"1")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3011em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0785em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},"1")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2222em"}}),s("span",{class:"mbin"},"+"),s("span",{class:"mspace",style:{"margin-right":"0.2222em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8333em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal"},"L"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3011em"}},[s("span",{style:{top:"-2.55em","margin-left":"0em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mtight"},"12")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3011em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0785em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},"2")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])])])])]),a(" ( "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"I"),s("mn",null,"2")])]),s("annotation",{encoding:"application/x-tex"},"I_2")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8333em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal",style:{"margin-right":"0.07847em"}},"I"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3011em"}},[s("span",{style:{top:"-2.55em","margin-left":"-0.0785em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},"2")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])])])])]),a(" は回路 2 を流れる電流) で, "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("msub",null,[s("mi",null,"L"),s("mn",null,"12")]),s("mo",null,"="),s("msub",null,[s("mi",null,"L"),s("mn",null,"21")]),s("mo",null,"≡"),s("mi",null,"M")]),s("annotation",{encoding:"application/x-tex"},"L_{12}=L_{21} \\equiv M")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8333em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal"},"L"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3011em"}},[s("span",{style:{top:"-2.55em","margin-left":"0em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mtight"},"12")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"="),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8333em","vertical-align":"-0.15em"}}),s("span",{class:"mord"},[s("span",{class:"mord mathnormal"},"L"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3011em"}},[s("span",{style:{top:"-2.55em","margin-left":"0em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},[s("span",{class:"mord mtight"},"21")])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"≡"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.6833em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.10903em"}},"M")])])]),a(" と "),s("span",{class:"katex"},[s("span",{class:"katex-mathml"},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("semantics",null,[s("mrow",null,[s("mi",null,"M"),s("mo",null,"≤"),s("msqrt",null,[s("mrow",null,[s("msub",null,[s("mi",null,"L"),s("mn",null,"1")]),s("msub",null,[s("mi",null,"L"),s("mn",null,"2")])])])]),s("annotation",{encoding:"application/x-tex"},"M \\leq \\sqrt{L_1 L_2}")])])]),s("span",{class:"katex-html","aria-hidden":"true"},[s("span",{class:"base"},[s("span",{class:"strut",style:{height:"0.8193em","vertical-align":"-0.136em"}}),s("span",{class:"mord mathnormal",style:{"margin-right":"0.10903em"}},"M"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}}),s("span",{class:"mrel"},"≤"),s("span",{class:"mspace",style:{"margin-right":"0.2778em"}})]),s("span",{class:"base"},[s("span",{class:"strut",style:{height:"1.04em","vertical-align":"-0.1883em"}}),s("span",{class:"mord sqrt"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.8517em"}},[s("span",{class:"svg-align",style:{top:"-3em"}},[s("span",{class:"pstrut",style:{height:"3em"}}),s("span",{class:"mord",style:{"padding-left":"0.833em"}},[s("span",{class:"mord"},[s("span",{class:"mord mathnormal"},"L"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3011em"}},[s("span",{style:{top:"-2.55em","margin-left":"0em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},"1")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])]),s("span",{class:"mord"},[s("span",{class:"mord mathnormal"},"L"),s("span",{class:"msupsub"},[s("span",{class:"vlist-t vlist-t2"},[s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.3011em"}},[s("span",{style:{top:"-2.55em","margin-left":"0em","margin-right":"0.05em"}},[s("span",{class:"pstrut",style:{height:"2.7em"}}),s("span",{class:"sizing reset-size6 size3 mtight"},[s("span",{class:"mord mtight"},"2")])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.15em"}},[s("span")])])])])])])]),s("span",{style:{top:"-2.8117em"}},[s("span",{class:"pstrut",style:{height:"3em"}}),s("span",{class:"hide-tail",style:{"min-width":"0.853em",height:"1.08em"}},[s("svg",{xmlns:"http://www.w3.org/2000/svg",width:"400em",height:"1.08em",viewBox:"0 0 400000 1080",preserveAspectRatio:"xMinYMin slice"},[s("path",{d:`M95,702
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l0 -0
c5.3,-9.3,12,-14,20,-14
H400000v40H845.2724
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M834 80h400000v40h-400000z`})])])])]),s("span",{class:"vlist-s"},"​")]),s("span",{class:"vlist-r"},[s("span",{class:"vlist",style:{height:"0.1883em"}},[s("span")])])])])])])]),a(" が成立.")])],-1),q=[i,r,p,c,h,g,o,u,d,y,v,x,w,b,_,k,M,z,f,L,I,R,V,C,Z,P];function S(T,A,Q,W,B,j){return m(),n("div",null,q)}const Y=t(e,[["render",S]]);export{N as __pageData,Y as default};