{"id":209157,"date":"2024-03-21T14:06:18","date_gmt":"2024-03-21T14:06:18","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e3%82%ac%e3%82%a6%e3%82%b9%e3%81%ae%e6%b3%95%e5%89%87-%e9%9b%bb%e5%a0%b4%e3%81%ae%e5%ae%9a%e7%be%a9%e3%81%a8%e5%bf%9c%e7%94%a8\/"},"modified":"2024-05-17T15:08:08","modified_gmt":"2024-05-17T15:08:08","slug":"%e3%82%ac%e3%82%a6%e3%82%b9%e3%81%ae%e6%b3%95%e5%89%87-%e9%9b%bb%e5%a0%b4%e3%81%ae%e5%ae%9a%e7%be%a9%e3%81%a8%e5%bf%9c%e7%94%a8","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e3%82%ac%e3%82%a6%e3%82%b9%e3%81%ae%e6%b3%95%e5%89%87-%e9%9b%bb%e5%a0%b4%e3%81%ae%e5%ae%9a%e7%be%a9%e3%81%a8%e5%bf%9c%e7%94%a8\/","title":{"rendered":"\u30ac\u30a6\u30b9\u306e\u6cd5\u5247 | \u96fb\u5834\u306e\u5b9a\u7fa9\u3068\u5fdc\u7528"},"content":{"rendered":"<p class=\"sidekick\">\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u3068\u306f\u3001\u96fb\u5834\u3068\u96fb\u8377\u306e\u95a2\u4fc2\u3092\u8aac\u660e\u3059\u308b\u57fa\u672c\u7684\u306a\u7269\u7406\u6cd5\u5247\u3067\u3042\u308b\u3002\u96fb\u5834\u306e\u30d5\u30e9\u30c3\u30af\u30b9\u304c\u56f2\u307e\u308c\u305f\u96fb\u8377\u306b\u6bd4\u4f8b\u3059\u308b\u3053\u3068\u3092\u793a\u3059\u3002<\/p>\n<h2>\u30ac\u30a6\u30b9\u306e\u6cd5\u5247 | \u96fb\u5834\u306e\u5b9a\u7fa9\u3068\u5fdc\u7528<\/h2>\n<p>\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u306f\u3001\u96fb\u5834\u3068\u96fb\u8377\u306e\u95a2\u4fc2\u3092\u8aac\u660e\u3059\u308b\u975e\u5e38\u306b\u91cd\u8981\u306a\u6cd5\u5247\u3067\u3059\u3002\u3053\u306e\u6cd5\u5247\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u96fb\u5834\u306e\u6027\u8cea\u3084\u305d\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u6df1\u304f\u5b66\u3076\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u306e\u5b9a\u7fa9\u3068\u305d\u306e\u5177\u4f53\u7684\u306a\u5fdc\u7528\u306b\u3064\u3044\u3066\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u306e\u5b9a\u7fa9<\/h2>\n<p>\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\n\\[ \\oint_S \\mathbf{E} \\cdot d\\mathbf{A} = \\frac{Q_{\\text{enc}}}{\\epsilon_0} \\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li>\\( \\mathbf{E} \\)\uff1a\u96fb\u5834<\/li>\n<li>\\( d\\mathbf{A} \\)\uff1a\u5fae\u5c0f\u306a\u9762\u7a4d\u30d9\u30af\u30c8\u30eb<\/li>\n<li>\\( Q_{\\text{enc}} \\)\uff1a\u9762\u7a4d \\( S \\) \u306b\u3088\u3063\u3066\u56f2\u307e\u308c\u305f\u5185\u90e8\u306e\u7dcf\u96fb\u8377<\/li>\n<li>\\( \\epsilon_0 \\)\uff1a\u771f\u7a7a\u306e\u8a98\u96fb\u7387<\/li>\n<\/ul>\n<p>\u3053\u306e\u5f0f\u306f\u3001\u3042\u308b\u9589\u66f2\u9762\u3092\u901a\u904e\u3059\u308b\u96fb\u5834\u306e\u7dcf\u30d5\u30e9\u30c3\u30af\u30b9 (\u96fb\u5834\u306e\u6d41\u308c) \u304c\u3001\u305d\u306e\u9589\u66f2\u9762\u306e\u5185\u90e8\u306e\u7dcf\u96fb\u8377\u91cf\u306b\u6bd4\u4f8b\u3059\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2>\u96fb\u5834\u306e\u5b9a\u7fa9<\/h2>\n<p>\u96fb\u5834 \\( \\mathbf{E} \\) \u306f\u96fb\u8377\u304c\u4ed6\u306e\u96fb\u8377\u306b\u53ca\u307c\u3059\u529b\u3092\u8868\u3059\u30d9\u30af\u30c8\u30eb\u5834\u3067\u3059\u3002\u3053\u308c\u306f\u6b21\u306e\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\n\\[ \\mathbf{E} = \\frac{\\mathbf{F}}{q} \\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li>\\( \\mathbf{F} \\)\uff1a\u96fb\u8377 \\( q \\) \u306b\u50cd\u304f\u529b<\/li>\n<li>\\( q \\)\uff1a\u30c6\u30b9\u30c8\u96fb\u8377<\/li>\n<\/ul>\n<p>\u3053\u306e\u5f0f\u306f\u3001\u3042\u308b\u5730\u70b9\u306b\u304a\u3051\u308b\u96fb\u5834\u304c\u305d\u306e\u5730\u70b9\u306b\u7f6e\u304b\u308c\u305f\u30c6\u30b9\u30c8\u96fb\u8377\u306b\u50cd\u304f\u529b\u3092\u3001\u305d\u306e\u96fb\u8377\u306e\u5927\u304d\u3055\u3067\u5272\u3063\u305f\u3082\u306e\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2>\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u306e\u5fdc\u7528<\/h2>\n<p>\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u306f\u3001\u5bfe\u79f0\u6027\u306e\u9ad8\u3044\u554f\u984c\u306b\u7279\u306b\u6709\u7528\u3067\u3059\u3002\u4ee5\u4e0b\u306f\u305d\u306e\u5177\u4f53\u7684\u306a\u5fdc\u7528\u4f8b\u3067\u3059\uff1a<\/p>\n<h3>\u7121\u9650\u306b\u9577\u3044\u76f4\u7dda\u72b6\u96fb\u8377<\/h3>\n<p>\u7121\u9650\u306b\u9577\u3044\u76f4\u7dda\u72b6\u96fb\u8377\u306e\u5834\u5408\u3001\u5186\u67f1\u5f62\u306e\u30ac\u30a6\u30b9\u9762\u3092\u9078\u3073\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u9069\u7528\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\n\\[ \\mathbf{E} \\cdot (2\\pi r L) = \\frac{\\lambda L}{\\epsilon_0} \\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li>\\( \\lambda \\)\uff1a\u5358\u4f4d\u9577\u3055\u3042\u305f\u308a\u306e\u96fb\u8377 (\u7dda\u96fb\u8377\u5bc6\u5ea6)<\/li>\n<li>\\( r \\)\uff1a\u5186\u67f1\u306e\u534a\u5f84<\/li>\n<li>\\( L \\)\uff1a\u5186\u67f1\u306e\u9ad8\u3055<\/li>\n<\/ul>\n<p>\u3053\u306e\u5f0f\u3092\u89e3\u304f\u3068\u3001\u96fb\u5834\u306e\u5f37\u3055 \\( \\mathbf{E} \\) \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p>\n\\[ \\mathbf{E} = \\frac{\\lambda}{2 \\pi \\epsilon_0 r} \\]\n<\/p>\n<h3>\u7121\u9650\u306b\u5e83\u304c\u308b\u5e73\u9762\u72b6\u96fb\u8377<\/h3>\n<p>\u7121\u9650\u306b\u5e83\u304c\u308b\u5e73\u9762\u72b6\u96fb\u8377\u306e\u5834\u5408\u3001\u5e73\u884c\u306a\u4e8c\u3064\u306e\u5e73\u9762\u3092\u30ac\u30a6\u30b9\u9762\u3068\u3057\u3066\u9078\u3073\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u9069\u7528\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\n\\[ \\mathbf{E} \\cdot (2A) = \\frac{\\sigma A}{\\epsilon_0} \\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li>\\( \\sigma \\)\uff1a\u5358\u4f4d\u9762\u7a4d\u3042\u305f\u308a\u306e\u96fb\u8377 (\u9762\u96fb\u8377\u5bc6\u5ea6)<\/li>\n<li>\\( A \\)\uff1a\u30ac\u30a6\u30b9\u9762\u306e\u9762\u7a4d<\/li>\n<\/ul>\n<p>\u3053\u306e\u5f0f\u3092\u89e3\u304f\u3068\u3001\u96fb\u5834\u306e\u5f37\u3055 \\( \\mathbf{E} \\) \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p>\n\\[ \\mathbf{E} = \\frac{\\sigma}{2 \\epsilon_0} \\]\n<\/p>\n<h2>\u307e\u3068\u3081<\/h2>\n<p>\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u306f\u96fb\u5834\u3068\u96fb\u8377\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u5f37\u529b\u306a\u30c4\u30fc\u30eb\u3067\u3059\u3002\u3053\u306e\u6cd5\u5247\u3092\u4f7f\u3046\u3053\u3068\u3067\u3001\u3055\u307e\u3056\u307e\u306a\u5bfe\u79f0\u6027\u306e\u9ad8\u3044\u30b7\u30b9\u30c6\u30e0\u306b\u304a\u3051\u308b\u96fb\u5834\u3092\u7c21\u5358\u306b\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u7d39\u4ecb\u3057\u305f\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3068\u5fdc\u7528\u4f8b\u3092\u57fa\u306b\u3001\u3055\u3089\u306a\u308b\u5b66\u3073\u3092\u6df1\u3081\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u3068\u306f\u3001\u96fb\u5834\u3068\u96fb\u8377\u306e\u95a2\u4fc2\u3092\u8aac\u660e\u3059\u308b\u57fa\u672c\u7684\u306a\u7269\u7406\u6cd5\u5247\u3067\u3042\u308b\u3002\u96fb\u5834\u306e\u30d5\u30e9\u30c3\u30af\u30b9\u304c\u56f2\u307e\u308c\u305f\u96fb\u8377\u306b\u6bd4\u4f8b\u3059\u308b\u3053\u3068\u3092\u793a\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_generate-full-width-content":"","footnotes":""},"categories":[96],"tags":[97],"class_list":["post-209157","post","type-post","status-publish","format-standard","hentry","category-96","tag-97","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- 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