{"id":213806,"date":"2024-09-26T17:59:53","date_gmt":"2024-09-26T17:59:53","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/?p=213806"},"modified":"2024-09-26T17:59:53","modified_gmt":"2024-09-26T17:59:53","slug":"%e5%b8%af%e9%9b%bb%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e9%9b%bb%e5%a0%b4%e3%81%a8%e3%81%af%e4%bd%95%e3%81%8b","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e5%b8%af%e9%9b%bb%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e9%9b%bb%e5%a0%b4%e3%81%a8%e3%81%af%e4%bd%95%e3%81%8b\/","title":{"rendered":"\u5e2f\u96fb\u30ea\u30f3\u30b0\u306b\u3088\u308b\u96fb\u5834\u3068\u306f\u4f55\u304b"},"content":{"rendered":"<p class=\"sidekick\">\u5e2f\u96fb\u30ea\u30f3\u30b0\u306b\u3088\u308b\u96fb\u5834\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u7c21\u5358\u306b\u89e3\u8aac\u3002\u5e2f\u96fb\u3057\u305f\u30ea\u30f3\u30b0\u304c\u5468\u56f2\u306b\u3069\u306e\u3088\u3046\u306a\u96fb\u5834\u3092\u4f5c\u308a\u51fa\u3059\u304b\u3001\u57fa\u672c\u539f\u7406\u3068\u5fdc\u7528\u4f8b\u3092\u7d39\u4ecb\u3002<\/p>\n<h2>\u5e2f\u96fb\u30ea\u30f3\u30b0\u306b\u3088\u308b\u96fb\u5834\u3068\u306f\u4f55\u304b<\/h2>\n<p>\u5e2f\u96fb\u30ea\u30f3\u30b0\u3068\u306f\u3001\u305d\u306e\u5468\u56f2\u306b\u5747\u4e00\u306b\u96fb\u8377\u304c\u5206\u5e03\u3057\u3066\u3044\u308b\u30ea\u30f3\u30b0\u306e\u3053\u3068\u3067\u3059\u3002\u96fb\u8377\u304c\u5e2f\u3073\u3066\u3044\u308b\u305f\u3081\u3001\u30ea\u30f3\u30b0\u306e\u5468\u308a\u306b\u306f\u96fb\u5834\u304c\u767a\u751f\u3057\u307e\u3059\u3002\u3053\u306e\u96fb\u5834\u306e\u7279\u5fb4\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u30dd\u30a4\u30f3\u30c8\u3054\u3068\u306e\u96fb\u5834\u306e\u30d9\u30af\u30c8\u30eb\u3092\u5408\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h2>\u5e2f\u96fb\u30ea\u30f3\u30b0\u306e\u69cb\u9020<\/h2>\n<p>\u5e2f\u96fb\u30ea\u30f3\u30b0\u306f\u3001\u534a\u5f84 \\( R \\) \u306e\u30ea\u30f3\u30b0\u3067\u3001\u7dcf\u96fb\u8377 \\( Q \\) \u304c\u30ea\u30f3\u30b0\u5168\u4f53\u306b\u5747\u7b49\u306b\u5e83\u304c\u3063\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5186\u5468\u4e0a\u306e\u4efb\u610f\u306e\u5c0f\u3055\u306a\u90e8\u5206\u306b\u304a\u3051\u308b\u96fb\u8377\u304c\u540c\u3058\u5bc6\u5ea6\u3067\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<h2>\u30ea\u30f3\u30b0\u4e2d\u5fc3\u306e\u96fb\u5834<\/h2>\n<p>\u307e\u305a\u3001\u5e2f\u96fb\u30ea\u30f3\u30b0\u306e\u4e2d\u5fc3\u70b9\u3067\u306e\u96fb\u5834\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4e2d\u5fc3\u70b9\u306b\u304a\u3044\u3066\u3001\u5404\u5c0f\u3055\u306a\u90e8\u5206\u96fb\u8377 \\( dq \\) \u304c\u4f5c\u308b\u96fb\u5834 \\( d\\mathbf{E} \\) \u306f\u3001\u4e2d\u5fc3\u70b9\u306b\u5411\u304b\u3063\u3066\u653e\u5c04\u72b6\u306b\u306a\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u30ea\u30f3\u30b0\u306e\u5bfe\u79f0\u6027\u306b\u3088\u308a\u3001\u96fb\u5834\u306e\u30d9\u30af\u30c8\u30eb \\(\\mathbf{E}\\) \u306f\u76f8\u6bba\u3055\u308c\u3001\u4e2d\u5fc3\u70b9\u3067\u306e\u96fb\u5834\u306f\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u30ea\u30f3\u30b0\u8ef8\u4e0a\u306e\u96fb\u5834<\/h2>\n<p>\u6b21\u306b\u3001\u30ea\u30f3\u30b0\u306e\u8ef8\u4e0a\u306e\u96fb\u5834\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002\u30ea\u30f3\u30b0\u306e\u8ef8\u4e0a\u306e\u70b9\u3092 \\( z \\) \u8ef8\u306b\u6cbf\u3063\u3066 \\( z \\) \u3068\u3057\u307e\u3059\u3002\u96fb\u8377 \\( dq \\) \u304c \\( z \\) \u8ef8\u4e0a\u306e\u70b9\u306b\u4f5c\u308b\u96fb\u5834\u306f\u6b21\u306e\u69d8\u306b\u8868\u305b\u307e\u3059\uff1a<\/p>\n<p>\\[<br \/>\nd\\mathbf{E} = \\frac{1}{4\\pi\\epsilon_0} \\frac{dq}{r^2} \\hat{r}<br \/>\n\\]<\/p>\n<p>\u3053\u3053\u3067\u3001 \\(\\epsilon_0\\) \u306f\u771f\u7a7a\u306e\u8a98\u96fb\u7387\u3001 \\( r \\) \u306f\u8ddd\u96e2\u3001 \\(\\hat{r}\\) \u306f\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002\u5404\u96fb\u8377 \\( dq \\) \u306f\u5bfe\u79f0\u6027\u306b\u3088\u308a\u3001\u305d\u306e\u8ef8\u65b9\u5411\u306e\u6210\u5206 \\(\\mathbf{E_z}\\) \u3060\u3051\u304c\u5fc5\u8981\u3067\u3059\u3002\u3053\u308c\u3092\u8003\u616e\u3057\u3066\u7a4d\u5206\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p>\\[<br \/>\nE_z = \\frac{1}{4\\pi\\epsilon_0} \\frac{Qz}{(R^2 + z^2)^{3\/2}}<br 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