{"id":34818,"date":"2022-07-12T13:00:35","date_gmt":"2022-07-12T13:00:35","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34818"},"modified":"2025-09-21T02:37:55","modified_gmt":"2025-09-21T02:37:55","slug":"%e5%85%89%e9%80%9f%e5%ba%a6%e3%81%a8%e9%9b%bb%e7%a3%81%e6%b3%a2","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e5%85%89%e9%80%9f%e5%ba%a6%e3%81%a8%e9%9b%bb%e7%a3%81%e6%b3%a2\/","title":{"rendered":"\u5149\u901f\u5ea6\u3068\u96fb\u78c1\u6ce2"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u771f\u7a7a\u4e2d\u306e\u5149\u901f\u5ea6\u3068\u96fb\u78c1\u6ce2<\/h1>\n<p class=\"eq\"><em><strong>\u8981\u7d04:<\/strong><br \/>\n\u672c\u8b1b\u7fa9\u3067\u306f\u3001\u771f\u7a7a\u4e2d\u306b\u304a\u3051\u308b\u96fb\u78c1\u6ce2\u306e\u6319\u52d5\u304b\u3089\u3001\u771f\u7a7a\u7a7a\u9593\u306b\u304a\u3051\u308b\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e\u89e3\u6cd5\u3092\u901a\u3058\u3066\u3069\u306e\u3088\u3046\u306b\u5c0e\u304b\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3002\u305d\u306e\u7d50\u679c\u3001\u771f\u7a7a\u4e2d\u306b\u304a\u3051\u308b\u96fb\u78c1\u6ce2\u306e\u4f1d\u64ad\u901f\u5ea6\u306f\u3001\u3044\u304b\u306a\u308b\u6163\u6027\u7cfb\u306b\u3082\u4f9d\u5b58\u3057\u306a\u3044\u4e00\u5b9a\u306e\u5b9a\u6570\u3067\u3042\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u308b\u3002<\/br><\/em><\/p>\n<p><strong>\u5b66\u7fd2\u76ee\u6a19<\/strong><br \/>\n\u672c\u8b1b\u7fa9\u7d42\u4e86\u6642\u3001\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\uff1a<\/center><\/p>\n<ol>\n<li><strong>\u793a\u3059<\/strong> \u771f\u7a7a\u4e2d\u306e\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u3068\u96fb\u78c1\u6ce2\u306e\u4f1d\u64ad\u3068\u306e\u95a2\u9023\u3002<\/li>\n<li><strong>\u8ad6\u3058\u308b<\/strong> \u5149\u901f\u5ea6\u304c\u771f\u7a7a\u4e2d\u3067\u4e00\u5b9a\u3067\u3042\u308b\u7406\u7531\u3001\u305d\u3057\u3066\u305d\u308c\u304c\u30ac\u30ea\u30ec\u30a4\u5909\u63db\u3068\u3069\u306e\u3088\u3046\u306b\u77db\u76fe\u3059\u308b\u304b\u3002<\/li>\n<\/ol>\n<p><center><\/p>\n<p class=\"indx\"><strong>\u76ee\u6b21<\/strong><br \/>\n<a href=\"#1\"><strong>\u771f\u7a7a\u4e2d\u306e\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u96fb\u78c1\u6ce2\u306e\u4f1d\u64ad<\/strong><\/a><br \/>\n<a href=\"#3\"><strong>\u5149\u901f\u5ea6\u306f\u666e\u904d\u5b9a\u6570\u3067\u3042\u308b<\/strong><\/a><br \/>\n<a href=\"#4\"><strong>\u7d50\u8ad6<\/strong><\/a>\n<\/p>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/FsHuY-aQGdA\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u771f\u7a7a\u4e2d\u306e\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f<\/h2>\n<p style=\"text-align:justify;\">\u771f\u7a7a\u7a7a\u9593\u306b\u304a\u3051\u308b\u96fb\u78c1\u6c17\u5b66\u306b\u306f\u3001\u6ce8\u76ee\u3059\u3079\u304d\u3044\u304f\u3064\u304b\u306e\u7279\u6027\u304c\u3042\u308b\u3002\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306f\u96fb\u5834\u3068\u78c1\u5834\u3092\u8a18\u8ff0\u3059\u308b\u304c\u3001\u771f\u7a7a\u4e2d\u3067\u306f\u6b21\u306e\u3088\u3046\u306a\u5f62\u3092\u3068\u308b\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rlr}\n\n\\vec{\\nabla} \\cdot \\vec{E}  &amp;= 0 &amp; [1]\\\\ \\vec{\\nabla} \\cdot \\vec{B}  &amp;= 0 &amp; [2]\\\\ \\vec{\\nabla} \\times \\vec{E} &amp;\\displaystyle = -\\frac{\\partial \\vec{B}}{\\partial t} &amp; [3]\\\\ \\vec{\\nabla} \\times \\vec{B} &amp;\\displaystyle = \\mu_0\\epsilon_0 \\frac{\\partial \\vec{E}}{\\partial t} &amp; [4] \\end{array}\n\n<\/span>\n<p style=\"text-align:justify;\">\u3053\u308c\u306b\u57fa\u3065\u304d\u3001\u96fb\u5834\u304a\u3088\u3073\u78c1\u5834\u306b\u304a\u3051\u308b\u3042\u3089\u3086\u308b\u6442\u52d5\u306f\u3001\u771f\u7a7a\u4e2d\u3067\u6ce2\u3068\u3057\u3066\u4f1d\u64ad\u3059\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u308b\u3002\u306a\u305c\u305d\u3046\u8a00\u3048\u308b\u306e\u304b\u3002\u305d\u308c\u306f\u3001\u3053\u308c\u3089\u306e\u5f0f\u3092\u89e3\u6790\u3059\u308b\u3068\u3001\u4e21\u65b9\u306e\u5834\u306b\u5bfe\u3057\u3066\u6ce2\u52d5\u65b9\u7a0b\u5f0f\u304c\u5c0e\u304b\u308c\u308b\u304b\u3089\u3067\u3042\u308b\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u96fb\u78c1\u6ce2\u306e\u4f1d\u64ad<\/h2>\n<p style=\"text-align:justify;\">\u5f0f [4] \u3068 [5] \u304b\u3089\u3001\u96fb\u5834\u306f\u6b21\u306e\u95a2\u4fc2\u5f0f\u3092\u6e80\u305f\u3059\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{llr}\n\n\\vec{\\nabla} \\times (\\vec{\\nabla} \\times \\vec{E}) &amp;= \\displaystyle \\vec{\\nabla} \\times \\left( -\\frac{\\partial \\vec{B}}{\\partial t} \\right) &amp;\\\\\n\n                                      &amp;=\\displaystyle -\\frac{\\partial}{\\partial t}\\left(\\vec{\\nabla} \\times \\vec{B}\\right) = -\\frac{\\partial}{\\partial t} \\left(\\mu_0\\epsilon_0 \\frac{\\partial \\vec{E}}{\\partial t} \\right) = -\\mu_0\\epsilon_0  \\frac{\\partial^2 \\vec{E}}{\\partial t^2}&amp; [6]\n\\end{array}<\/span>\n<p style=\"text-align:justify;\">\u6b21\u306b\u3001\u4efb\u610f\u306e\u30d9\u30af\u30c8\u30eb\u5834\u306f\u6b21\u306e\u95a2\u4fc2\u5f0f\u3092\u6e80\u305f\u3059\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{\\nabla} \\times \\left(\\vec{\\nabla} \\times \\vec{A} \\right) = \\vec{\\nabla}(\\vec{\\nabla} \\cdot \\vec{A}) - \\nabla^2 \\vec{A},\\;\\;\\;[7]<\/span>\n<p style=\"text-align:justify;\">\u5f0f [2], [6], [7] \u306b\u57fa\u3065\u304f\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rll}\n\n&amp;\\displaystyle \\vec{\\nabla}(\\underbrace{\\vec{\\nabla} \\cdot \\vec{E}}_{=0}) - \\nabla^2 \\vec{E} = \\vec{\\nabla} \\times \\left(\\vec{\\nabla} \\times \\vec{E} \\right) = -\\mu_0\\epsilon_0  \\frac{\\partial^2 \\vec{E}}{\\partial t^2} &amp; \\\\\n\n\\equiv &amp;\\displaystyle \\color{blue}{\\nabla^2 \\vec{E} =  \\mu_0\\epsilon_0  \\frac{\\partial^2 \\vec{E}}{\\partial t^2}}  &amp; [8]\n\\end{array}<\/span>\n<p style=\"text-align:justify;\">\u9752\u8272\u3067\u793a\u3055\u308c\u305f\u3082\u306e\u306f\u3001\u307e\u3055\u306b\u96fb\u5834\u306b\u5bfe\u3059\u308b\u6ce2\u52d5\u4f1d\u64ad\u65b9\u7a0b\u5f0f\u3067\u3042\u308b\u3002<\/p>\n<p style=\"text-align:justify;\">\u78c1\u5834\u306b\u5bfe\u3057\u3066\u3082\u3001\u5168\u304f\u540c\u69d8\u306b\u6210\u308a\u7acb\u3064\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{ll}\n\n\\vec{\\nabla} \\times (\\vec{\\nabla} \\times \\vec{B}) &amp;= \\displaystyle \\vec{\\nabla} \\times \\left(\\mu_0\\epsilon_0 \\frac{\\partial \\vec{E}}{\\partial t} \\right)\\\\\n\n                                      &amp;=\\displaystyle \\mu_0\\epsilon_0 \\frac{\\partial}{\\partial t}\\left(\\vec{\\nabla} \\times \\vec{E}\\right) = \\mu_0\\epsilon_0 \\frac{\\partial}{\\partial t} \\left(- \\frac{\\partial \\vec{B}}{\\partial t} \\right) = -\\mu_0\\epsilon_0 \\displaystyle  \\frac{\\partial^2 \\vec{B}}{\\partial t^2}\n\n\\end{array}<\/span>\n<p style=\"text-align:justify;\">\u305d\u3057\u3066\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rll}\n\n&amp; \\displaystyle \\vec{\\nabla}(\\underbrace{\\vec{\\nabla} \\cdot \\vec{B}}_{=0}) - \\nabla^2 \\vec{B} = \\vec{\\nabla} \\times \\left(\\vec{\\nabla} \\times \\vec{B} \\right) = -\\mu_0\\epsilon_0  \\frac{\\partial^2 \\vec{B}}{\\partial t^2} &amp;\\\\\n\n\\equiv &amp;\\color{blue}{\\nabla^2 \\vec{B} = \\displaystyle \\mu_0\\epsilon_0  \\frac{\\partial^2 \\vec{B}}{\\partial t^2}}&amp; [9]\n\\end{array}<\/span>\n<p style=\"text-align:justify;\">\u3053\u3053\u304b\u3089\u3001\u771f\u7a7a\u4e2d\u306e\u96fb\u78c1\u5834\u306b\u306f\u591a\u304f\u306e\u53ef\u80fd\u306a\u30e2\u30fc\u30c9\u304c\u5b58\u5728\u3057\u3001\u305d\u306e\u4e2d\u306e\u4e00\u3064\u306e\u65cf\u304c\u7a7a\u9593\u3068\u6642\u9593\u3092\u4f1d\u64ad\u3059\u308b\u96fb\u78c1\u6ce2\u306e\u5f62\u3092\u3068\u308b\u3068\u8a00\u308f\u308c\u308b\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u5149\u901f\u5ea6\u306f\u666e\u904d\u5b9a\u6570\u3067\u3042\u308b<\/h2>\n<p style=\"text-align:justify;\">\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u96fb\u78c1\u5834\u306b\u304a\u3051\u308b\u6442\u52d5\u306f\u5e38\u306b\u901f\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">c = 1\/\\sqrt{\\epsilon_0 \\mu_0}\\approx 3\\cdot 10^8[m\/s],<\/span> \u3067\u4f1d\u64ad\u3057\u3001\u3053\u308c\u306f\u771f\u7a7a\u4e2d\u306e\u5149\u901f\u5ea6\u3067\u3042\u308b\u3002\u5b9f\u9a13\u7684\u306b\u3001\u3053\u306e\u901f\u5ea6\u306f\u3059\u3079\u3066\u306e\u6163\u6027\u53c2\u7167\u7cfb\u306b\u304a\u3044\u3066\u540c\u4e00\u3067\u3042\u308b\u3053\u3068\u304c\u89b3\u6e2c\u3055\u308c\u308b\u3002\u3053\u308c\u306f <a href=\"http:\/\/toposuranos.com\/material\/es\/las-transformaciones-de-galileo-y-sus-limitaciones\/\" rel=\"noopener\" target=\"_blank\">\u30ac\u30ea\u30ec\u30a4\u5909\u63db\u3068\u305d\u306e\u9650\u754c<\/a> \u306b\u793a\u3055\u308c\u308b\u3088\u3046\u306b\u3001\u30ac\u30ea\u30ec\u30a4\u5909\u63db\u3092\u9069\u7528\u3057\u305f\u5834\u5408\u306b\u5f97\u3089\u308c\u308b\u7d50\u679c\u3068\u306f\u4e00\u81f4\u3057\u306a\u3044\u3002\u306a\u305c\u306a\u3089\u3001\u30ac\u30ea\u30ec\u30a4\u5909\u63db\u306b\u3088\u308c\u3070\u3001\u6163\u6027\u7cfb\u304b\u3089\u5225\u306e\u6163\u6027\u7cfb\u3078\u79fb\u308b\u969b\u306b\u6ce2\u306e\u69cb\u9020\u305d\u306e\u3082\u306e\u304c\u5909\u5316\u3057\u3066\u3057\u307e\u3046\u304b\u3089\u3067\u3042\u308b\u3002\u3053\u308c\u3089\u306e\u7d50\u679c\u306f\u3001\u30ac\u30ea\u30ec\u30a4\u5909\u63db\u3092\u9000\u3051\u3001\u7279\u6b8a\u76f8\u5bfe\u6027\u7406\u8ad6\u306b\u304a\u3051\u308b\u30ed\u30fc\u30ec\u30f3\u30c4\u5909\u63db\u3078\u3068\u9032\u3080\u305f\u3081\u306e\u91cd\u8981\u306a\u8981\u7d20\u3067\u3042\u308b\u3002\u306a\u305c\u306a\u3089\u3001\u6b63\u3057\u304f\u5b9a\u5f0f\u5316\u3055\u308c\u305f\u5ea7\u6a19\u5909\u63db\u306f\u3001\u3059\u3079\u3066\u306e\u6163\u6027\u89b3\u6e2c\u8005\u306b\u5bfe\u3057\u3066\u7269\u7406\u6cd5\u5247\u3092\u4fdd\u5b58\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u304b\u3089\u3067\u3042\u308b\u3002<\/p>\n<div style=\"background-color:#F3F3F3; padding:20px;\"><a name=\"4\"><\/a><\/p>\n<h2>\u7d50\u8ad6<\/h2>\n<p style=\"text-align:justify;\">\n        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