{"id":209321,"date":"2024-03-21T14:07:18","date_gmt":"2024-03-21T14:07:18","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e5%85%ab%e9%87%8d%e6%a5%b5%e3%83%a2%e3%83%bc%e3%83%a1%e3%83%b3%e3%83%88%e3%81%ae%e5%85%ac%e5%bc%8f-%e8%a7%a3%e8%aa%ac%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/"},"modified":"2024-05-17T15:10:31","modified_gmt":"2024-05-17T15:10:31","slug":"%e5%85%ab%e9%87%8d%e6%a5%b5%e3%83%a2%e3%83%bc%e3%83%a1%e3%83%b3%e3%83%88%e3%81%ae%e5%85%ac%e5%bc%8f-%e8%a7%a3%e8%aa%ac%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e5%85%ab%e9%87%8d%e6%a5%b5%e3%83%a2%e3%83%bc%e3%83%a1%e3%83%b3%e3%83%88%e3%81%ae%e5%85%ac%e5%bc%8f-%e8%a7%a3%e8%aa%ac%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u516c\u5f0f | \u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"

\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u6982\u8981\u3068\u5177\u4f53\u7684\u306a\u8a08\u7b97\u65b9\u6cd5\u3092\u89e3\u8aac\u3002\u96fb\u8377\u914d\u7f6e\u306e\u5bfe\u79f0\u6027\u304c\u3082\u305f\u3089\u3059\u7269\u7406\u91cf\u306b\u3064\u3044\u3066\u7406\u89e3\u3057\u3088\u3046\u3002<\/p>\n

\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u516c\u5f0f | \u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n

\u3053\u3093\u306b\u3061\u306f\u3001\u4eca\u65e5\u306f\u96fb\u6c17\u3068\u78c1\u6c17\u306e\u5206\u91ce\u3067\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3042\u308b\u300c\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u300d\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u3001\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n

\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u3068\u306f\uff1f<\/h2>\n

\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u3001\u96fb\u8377\u3084\u96fb\u6d41\u306e\u914d\u7f6e\u304c\u7279\u5b9a\u306e\u5bfe\u79f0\u6027\u3092\u6301\u3064\u5834\u5408\u306b\u73fe\u308c\u308b\u7269\u7406\u91cf\u306e\u4e00\u3064\u3067\u3059\u3002\u7279\u306b\u3001\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306f2\u756a\u76ee\u306e\u591a\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u3067\u3042\u308a\u3001\u96fb\u6c17\u53cc\u6975\u5b50\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u6b21\u306b\u91cd\u8981\u3067\u3059\u3002\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u3001\u7269\u4f53\u304c\u5916\u90e8\u96fb\u5834\u3084\u78c1\u5834\u3068\u3069\u306e\u3088\u3046\u306b\u76f8\u4e92\u4f5c\u7528\u3059\u308b\u304b\u3092\u8a73\u7d30\u306b\u8a18\u8ff0\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n

\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u516c\u5f0f<\/h2>\n

\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u901a\u5e38\u3001\u6570\u5b66\u7684\u306b\u306f\u30c6\u30f3\u30bd\u30eb\u3068\u3057\u3066\u8868\u3055\u308c\u307e\u3059\u304c\u3001\u3053\u3053\u3067\u306f\u7c21\u5358\u306a\u5834\u5408\u306b\u9650\u5b9a\u3057\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u96c6\u4e2d\u3057\u305f\u96fb\u8377\u7cfb\u306e\u5834\u5408\u3001\u96fb\u6c17\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u884c\u5217 $Q_{ij}$ \u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\uff1a<\/p>\n

Q_{ij} = \\sum_k q_k \\left(3x_{i,k} x_{j,k} - r_k^2 \\delta_{ij}\\right)<\/code><\/pre>\n
\u3053\u3053\u3067\uff1a<\/p>\n
    \n
  • $q_k$ – \u7b2c k \u756a\u76ee\u306e\u96fb\u8377\u306e\u5927\u304d\u3055<\/li>\n
  • $x_{i,k}$ – \u7b2c k \u756a\u76ee\u306e\u96fb\u8377\u306e i \u5ea7\u6a19<\/li>\n
  • $r_k$ – \u7b2c k \u756a\u76ee\u306e\u96fb\u8377\u304b\u3089\u539f\u70b9\u307e\u3067\u306e\u8ddd\u96e2<\/li>\n
  • $\\delta_{ij}$ – \u30af\u30ed\u30cd\u30c3\u30ab\u30fc\u306e\u30c7\u30eb\u30bf (i = j \u306a\u3089\u3070 1\u3001\u305d\u308c\u4ee5\u5916\u306a\u3089\u3070 0)<\/li>\n<\/ul>\n
    \u6ce8\u610f\u3059\u3079\u304d\u306f\u3001\u4e0a\u8a18\u306e\u5f0f\u306f 3 \u6b21\u5143\u7a7a\u9593\u5185\u306e\u96fb\u8377\u914d\u7f6e\u306b\u5bfe\u3057\u3066\u306e\u3082\u306e\u3067\u3059\u3002<\/p>\n
    \u8a08\u7b97\u306e\u624b\u9806<\/h2>\n
    \u5177\u4f53\u7684\u306a\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u8a08\u7b97\u3092\u4f8b\u3068\u3057\u3066\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u4e8c\u3064\u306e\u96fb\u8377 \\(+q\\) \u3068 \\(-q\\) \u304c\u305d\u308c\u305e\u308c\u4f4d\u7f6e \\( (+d, 0, 0) \\)\u3001\u304a\u3088\u3073 \\((-d, 0, 0)\\) \u306b\u3042\u308b\u5834\u5408\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n
    1. \u5404\u6210\u5206\u306e\u6e96\u5099<\/h3>\n
    \u307e\u305a\u3001\u5404\u96fb\u8377\u306b\u95a2\u3059\u308b\u5ea7\u6a19\u3068\u8ddd\u96e2\u306e\u6210\u5206\u3092\u6574\u7406\u3057\u307e\u3059\uff1a<\/p>\n
      \n
    • \u96fb\u8377 \\(+q\\): \\(x_{i,1} = (d, 0, 0)\\), \\(r_1 = d\\)<\/li>\n
    • \u96fb\u8377 \\(-q\\): \\(x_{i,2} = (-d, 0, 0)\\), \\(r_2 = d\\)<\/li>\n<\/ul>\n
      2. \u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u6210\u5206\u306e\u8a08\u7b97<\/h3>\n
      \u6b21\u306b\u3001\u516c\u5f0f\u306b\u57fa\u3065\u3044\u3066\u5404\u6210\u5206\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001$Q_{xx}$ \u6210\u5206\u306e\u5834\u5408\uff1a<\/p>\n
      \nQ_{xx} = \\sum_k q_k \\left(3x_{x,k} x_{x,k} - r_k^2\\right)\n= +q \\left( 3d^2 - d^2 \\right) + (-q) \\left( 3(-d)^2 - d^2 \\right)\n= +q(2d^2) + (-q)(2d^2)\n= 2qd^2 - 2qd^2\n= 0\n<\/code><\/pre>\n
      \u4ed6\u306e\u6210\u5206\u3082\u540c\u69d8\u306b\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n
      \u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u91cd\u8981\u6027<\/h2>\n
      \u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306f\u3001\u7279\u306b\u9060\u65b9\u306e\u96fb\u5834\u3084\u78c1\u5834\u306b\u4e0e\u3048\u308b\u5f71\u97ff\u3092\u53b3\u5bc6\u306b\u8a08\u7b97\u3059\u308b\u969b\u306b\u91cd\u8981\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u5206\u5b50\u3084\u539f\u5b50\u304c\u3069\u306e\u3088\u3046\u306b\u76f8\u4e92\u4f5c\u7528\u3059\u308b\u304b\u3092\u3088\u308a\u8a73\u7d30\u306b\u7406\u89e3\u3059\u308b\u624b\u52a9\u3051\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n
      \u4ee5\u4e0a\u304c\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u57fa\u672c\u7684\u306a\u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5\u3067\u3059\u3002\u96fb\u6c17\u3068\u78c1\u6c17\u306e\u5965\u6df1\u3044\u4e16\u754c\u3092\u63a2\u6c42\u3059\u308b\u305f\u3081\u306e\u4e00\u52a9\u3068\u306a\u308c\u3070\u5e78\u3044\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
      \u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u6982\u8981\u3068\u5177\u4f53\u7684\u306a\u8a08\u7b97\u65b9\u6cd5\u3092\u89e3\u8aac\u3002\u96fb\u8377\u914d\u7f6e\u306e\u5bfe\u79f0\u6027\u304c\u3082\u305f\u3089\u3059\u7269\u7406\u91cf\u306b\u3064\u3044\u3066\u7406\u89e3\u3057\u3088\u3046\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-209321","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\u516b\u91cd\u6975\u30e2\u30fc\u30e1\u30f3\u30c8\u306e\u516c\u5f0f | \u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5<\/title>\n<meta name=\"description\" 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