{"id":209269,"date":"2024-03-21T14:07:00","date_gmt":"2024-03-21T14:07:00","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e5%b8%af%e9%9b%bb%e5%86%86%e7%9b%a4%e3%81%ab%e3%82%88%e3%82%8b%e9%9b%bb%e5%a0%b4-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95%e5%8f%8a%e3%81%b3%e5%bf%9c%e7%94%a8\/"},"modified":"2024-05-17T15:09:48","modified_gmt":"2024-05-17T15:09:48","slug":"%e5%b8%af%e9%9b%bb%e5%86%86%e7%9b%a4%e3%81%ab%e3%82%88%e3%82%8b%e9%9b%bb%e5%a0%b4-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95%e5%8f%8a%e3%81%b3%e5%bf%9c%e7%94%a8","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e5%b8%af%e9%9b%bb%e5%86%86%e7%9b%a4%e3%81%ab%e3%82%88%e3%82%8b%e9%9b%bb%e5%a0%b4-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95%e5%8f%8a%e3%81%b3%e5%bf%9c%e7%94%a8\/","title":{"rendered":"\u5e2f\u96fb\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834 | \u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5\u53ca\u3073\u5fdc\u7528"},"content":{"rendered":"

\u5e2f\u96fb\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u89e3\u8aac\u3002\u5b87\u5b99\u79d1\u5b66\u3001\u96fb\u6c17\u6a5f\u5668\u8a2d\u8a08\u3001\u6750\u6599\u79d1\u5b66\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u6982\u5ff5\u3092\u7406\u89e3\u3057\u307e\u3059\u3002<\/p>\n

\u5e2f\u96fb\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834<\/h2>\n

\u6982\u8981<\/h3>\n

\u5e2f\u96fb\u5186\u76e4\u306f\u3001\u5186\u76e4\u306e\u5f62\u3092\u3057\u305f\u7269\u4f53\u304c\u5747\u4e00\u306b\u96fb\u8377\u3092\u6301\u3063\u3066\u3044\u308b\u5834\u5408\u306e\u554f\u984c\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u5186\u76e4\u304c\u4f5c\u308a\u51fa\u3059\u96fb\u5834\u3092\u6c42\u3081\u308b\u3053\u3068\u306f\u3001\u96fb\u6c17\u529b\u5b66\u306e\u91cd\u8981\u306a\u8ab2\u984c\u306e\u4e00\u3064\u3067\u3059\u3002\u5e2f\u96fb\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834\u306e\u8a08\u7b97\u306f\u3001\u5186\u5bfe\u79f0\u6027\u3092\u5229\u7528\u3057\u3066\u3001\u5186\u76e4\u4e0a\u306e\u5404\u96fb\u8377\u304b\u3089\u306e\u5bc4\u4e0e\u3092\u7a4d\u5206\u306b\u3088\u3063\u3066\u6c42\u3081\u308b\u65b9\u6cd5\u304c\u4e00\u822c\u7684\u3067\u3059\u3002\u3053\u306e\u6280\u8853\u306f\u3001\u96fb\u78c1\u6c17\u5b66\u306b\u304a\u3051\u308b\u57fa\u672c\u7684\u306a\u7406\u89e3\u3060\u3051\u3067\u306a\u304f\u3001\u6280\u8853\u5fdc\u7528\u306b\u304a\u3044\u3066\u3082\u91cd\u8981\u3067\u3059\u3002<\/p>\n

\u8a08\u7b97\u65b9\u6cd5<\/h3>\n

\u5e2f\u96fb\u5186\u76e4\u306e\u96fb\u5834\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u6b21\u306e\u30b9\u30c6\u30c3\u30d7\u306b\u5f93\u3044\u307e\u3059\u3002<\/p>\n

1. \u5e2f\u96fb\u5186\u76e4\u306e\u8a2d\u5b9a<\/b>
\n\u5e2f\u96fb\u5186\u76e4\u306e\u534a\u5f84\u3092 \\( R \\)\u3001\u5186\u76e4\u4e0a\u306e\u9762\u96fb\u8377\u5bc6\u5ea6\uff08\u5358\u4f4d\u9762\u7a4d\u3042\u305f\u308a\u306e\u96fb\u8377\u91cf\uff09\u3092 \\( \\sigma \\) \u3068\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u8a08\u7b97\u306e\u7c21\u5358\u306e\u305f\u3081\u306b\u3001\u5186\u76e4\u306e\u4e2d\u5fc3\u3092\u539f\u70b9 \\( (0, 0, 0) \\) \u3068\u3057\u307e\u3059\u3002<\/p>\n

2. \u5fae\u5c0f\u96fb\u8377\u7d20\u7247\u306e\u96fb\u5834<\/b>
\n\u5186\u76e4\u4e0a\u306e\u5fae\u5c0f\u9762\u7a4d\u8981\u7d20 \\( dA \\) \u304c\u6301\u3064\u5fae\u5c0f\u96fb\u8377 \\( dq \\) \u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002
\n\\[
\ndq = \\sigma dA
\n\\]
\n\u3053\u3053\u3067\u3001\\( dA \\) \u306f\u6975\u5ea7\u6a19\u7cfb\u3092\u7528\u3044\u3066 \\( dA = rdrd\\theta \\) \u3068\u8868\u73fe\u3067\u304d\u307e\u3059\u3002<\/p>\n

3. \u5fae\u5c0f\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834<\/b>
\n\u30af\u30fc\u30ed\u30f3\u306e\u6cd5\u5247\u3092\u7528\u3044\u3066\u3001\u5fae\u5c0f\u96fb\u8377 \\( dq \\) \u304c\u89b3\u6e2c\u70b9 \\( P(x, y, z) \\) \u306b\u4f5c\u308b\u96fb\u5834 \\( dE \\) \u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002
\n\\[
\ndE = \\frac{1}{4\\pi\\epsilon_0} \\frac{dq}{r^2}
\n\\]
\n\u3053\u3053\u3067\u3001\\( r \\) \u306f\u5fae\u5c0f\u96fb\u8377\u7d20\u7247\u304b\u3089\u89b3\u6e2c\u70b9\u307e\u3067\u306e\u8ddd\u96e2\u3067\u3059\u3002<\/p>\n

4. \u5168\u4f53\u306e\u96fb\u5834\u306e\u7a4d\u5206<\/b>
\n\u5186\u76e4\u5168\u4f53\u304b\u3089\u306e\u96fb\u5834\u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u3001\u5186\u76e4\u4e0a\u306e\u5168\u3066\u306e\u5fae\u5c0f\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834\u3092\u7a4d\u5206\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u7a4d\u5206\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u3002
\n\\[
\nE = \\int_{0}^{2\\pi} \\int_{0}^{R} \\frac{\\sigma r dr d\\theta}{4\\pi\\epsilon_0 (r^2 + z^2)^{3\/2}}
\n\\]
\n\u3053\u3053\u3067 \\( z \\) \u306f\u89b3\u6e2c\u70b9\u306e\u9ad8\u3055\u3067\u3059\u3002<\/p>\n

\u5fdc\u7528<\/h3>\n

\u5e2f\u96fb\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834\u306e\u7406\u89e3\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u5b9f\u969b\u306e\u5fdc\u7528\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n

1. \u5b87\u5b99\u79d1\u5b66\u3068\u5929\u6587\u5b66<\/b>
\n\u96fb\u5834\u306e\u8a08\u7b97\u306f\u3001\u60d1\u661f\u3084\u6052\u661f\u306e\u96fb\u78c1\u5834\u306e\u89e3\u6790\u306b\u5fdc\u7528\u3055\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u5186\u76e4\u72b6\u306e\u9280\u6cb3\u3084\u60d1\u661f\u306e\u74b0\u5883\u306b\u304a\u3051\u308b\u96fb\u5834\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306f\u3001\u5b87\u5b99\u79d1\u5b66\u306b\u304a\u3044\u3066\u91cd\u8981\u3067\u3059\u3002<\/p>\n

2. \u96fb\u6c17\u6a5f\u5668\u306e\u8a2d\u8a08<\/b>
\n\u96fb\u6c17\u6a5f\u5668\u3084\u96fb\u5b50\u56de\u8def\u306e\u8a2d\u8a08\u306b\u304a\u3044\u3066\u3001\u96fb\u5834\u306e\u5f71\u97ff\u3092\u7406\u89e3\u30fb\u4e88\u6e2c\u3059\u308b\u3053\u3068\u306f\u91cd\u8981\u3067\u3059\u3002\u7279\u306b\u3001\u5370\u5237\u56de\u8def\u57fa\u677f\uff08PCB\uff09\u306e\u8a2d\u8a08\u306b\u304a\u3044\u3066\u3001\u5e2f\u96fb\u5186\u76e4\u306e\u30e2\u30c7\u30eb\u3092\u5229\u7528\u3057\u3066\u96fb\u5834\u89e3\u6790\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n

3. \u6750\u6599\u79d1\u5b66<\/b>
\n\u6750\u6599\u306e\u5e2f\u96fb\u7279\u6027\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u30e2\u30c7\u30eb\u3068\u3057\u3066\u3001\u5e2f\u96fb\u5186\u76e4\u304c\u4f7f\u7528\u3055\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u9ad8\u6027\u80fd\u306a\u6750\u6599\u3084\u30c7\u30d0\u30a4\u30b9\u306e\u958b\u767a\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n

\u307e\u3068\u3081\u308b\u3068\u3001\u5e2f\u96fb\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834\u306e\u8a08\u7b97\u306f\u3001\u57fa\u672c\u7684\u306a\u96fb\u78c1\u6c17\u5b66\u306e\u554f\u984c\u3067\u3042\u308a\u306a\u304c\u3089\u3001\u5e83\u7bc4\u306a\u79d1\u5b66\u6280\u8853\u5206\u91ce\u306b\u308f\u305f\u3063\u3066\u5fdc\u7528\u3055\u308c\u3066\u3044\u308b\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3059\u3002\u3053\u306e\u7406\u89e3\u306b\u3088\u308a\u3001\u3055\u307e\u3056\u307e\u306a\u73fe\u8c61\u3084\u6280\u8853\u958b\u767a\u306b\u8ca2\u732e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u5e2f\u96fb\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u89e3\u8aac\u3002\u5b87\u5b99\u79d1\u5b66\u3001\u96fb\u6c17\u6a5f\u5668\u8a2d\u8a08\u3001\u6750\u6599\u79d1\u5b66\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u6982\u5ff5\u3092\u7406\u89e3\u3057\u307e\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-209269","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":"\n\u5e2f\u96fb\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834 | \u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5\u53ca\u3073\u5fdc\u7528<\/title>\n<meta name=\"description\" content=\"\u5e2f\u96fb\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u89e3\u8aac\u3002\u5b87\u5b99\u79d1\u5b66\u3001\u96fb\u6c17\u6a5f\u5668\u8a2d\u8a08\u3001\u6750\u6599\u79d1\u5b66\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u6982\u5ff5\u3092\u7406\u89e3\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.electricity-magnetism.org\/ja\/%e5%b8%af%e9%9b%bb%e5%86%86%e7%9b%a4%e3%81%ab%e3%82%88%e3%82%8b%e9%9b%bb%e5%a0%b4-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95%e5%8f%8a%e3%81%b3%e5%bf%9c%e7%94%a8\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5e2f\u96fb\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834 | 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