{"id":209280,"date":"2024-03-21T14:07:04","date_gmt":"2024-03-21T14:07:04","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e5%9b%9b%e8%a7%92%e3%83%ab%e3%83%bc%e3%83%97%e3%81%ae%e4%b8%ad%e5%bf%83%e3%81%ae%e7%a3%81%e5%a0%b4-%e8%a7%a3%e8%aa%ac%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/"},"modified":"2024-05-17T15:09:57","modified_gmt":"2024-05-17T15:09:57","slug":"%e5%9b%9b%e8%a7%92%e3%83%ab%e3%83%bc%e3%83%97%e3%81%ae%e4%b8%ad%e5%bf%83%e3%81%ae%e7%a3%81%e5%a0%b4-%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%9b%9b%e8%a7%92%e3%83%ab%e3%83%bc%e3%83%97%e3%81%ae%e4%b8%ad%e5%bf%83%e3%81%ae%e7%a3%81%e5%a0%b4-%e8%a7%a3%e8%aa%ac%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u56db\u89d2\u30eb\u30fc\u30d7\u306e\u4e2d\u5fc3\u306e\u78c1\u5834 | \u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"<p class=\"sidekick\">\u56db\u89d2\u30eb\u30fc\u30d7\u306e\u4e2d\u5fc3\u306e\u78c1\u5834\uff1a\u56db\u89d2\u30eb\u30fc\u30d7\u306b\u96fb\u6d41\u304c\u6d41\u308c\u308b\u969b\u306e\u4e2d\u5fc3\u306b\u304a\u3051\u308b\u78c1\u5834\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u57fa\u672c\u6982\u5ff5\u3092\u89e3\u8aac\u3002\u30d3\u30aa\u30fb\u30b5\u30d0\u30fc\u30eb\u306e\u6cd5\u5247\u3092\u9069\u7528\u3057\u3066\u5177\u4f53\u7684\u306a\u89e3\u3092\u5c0e\u51fa\u3002<\/p>\n<h2>\u56db\u89d2\u30eb\u30fc\u30d7\u306e\u4e2d\u5fc3\u306e\u78c1\u5834 | \u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u7269\u7406\u5b66\u3084\u5de5\u5b66\u306e\u5206\u91ce\u3067\u306f\u3001\u96fb\u6d41\u304c\u6d41\u308c\u308b\u30ef\u30a4\u30e4\u306b\u3088\u3063\u3066\u767a\u751f\u3059\u308b\u78c1\u5834\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306f\u91cd\u8981\u306a\u8ab2\u984c\u306e\u4e00\u3064\u3067\u3059\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u56db\u89d2\u30eb\u30fc\u30d7\u306e\u4e2d\u5fc3\u306b\u304a\u3051\u308b\u78c1\u5834\u3092\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u304b\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n<h3>\u57fa\u672c\u6982\u5ff5<\/h3>\n<p>\u307e\u305a\u3001\u78c1\u5834\u306f\u96fb\u6d41\u306e\u6d41\u308c\u306b\u3088\u3063\u3066\u767a\u751f\u3057\u307e\u3059\u3002\u3053\u306e\u95a2\u4fc2\u306f\u30a2\u30f3\u30da\u30fc\u30eb\u306e\u6cd5\u5247\u3084\u30d3\u30aa\u30fb\u30b5\u30d0\u30fc\u30eb\u306e\u6cd5\u5247\u3092\u4f7f\u3063\u3066\u5b9a\u91cf\u7684\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30d3\u30aa\u30fb\u30b5\u30d0\u30fc\u30eb\u306e\u6cd5\u5247\u306f\u96fb\u6d41\u306e\u5143\u7d20\u304c\u3069\u306e\u3088\u3046\u306b\u78c1\u5834\u3092\u4f5c\u308b\u304b\u3092\u793a\u3057\u3001\u305d\u306e\u516c\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059:<\/p>\n<p>\n  \\[<br \/>\n  d\\mathbf{B} = \\frac{\\mu_0}{4\\pi} \\frac{I d\\mathbf{l} \\times \\mathbf{\\hat{r}}}{r^2}<br \/>\n  \\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<em>d\\mathbf{B}<\/em>\u306f\u5fae\u5c0f\u306a\u78c1\u5834\u3001<em>\\mu_0<\/em>\u306f\u771f\u7a7a\u306e\u900f\u78c1\u7387\u3001<em>I<\/em>\u306f\u96fb\u6d41\u3001<em>dl<\/em>\u306f\u5fae\u5c0f\u306a\u96fb\u6d41\u8981\u7d20\u3001<em>\\mathbf{\\hat{r}}<\/em>\u306f\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u306e\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u3001<em>r<\/em>\u306f\u8ddd\u96e2\u3067\u3059\u3002<\/p>\n<h3>\u554f\u984c\u8a2d\u5b9a<\/h3>\n<p>\u6b21\u306b\u3001\u56db\u89d2\u30eb\u30fc\u30d7\u306e\u4e2d\u5fc3\u306b\u304a\u3051\u308b\u78c1\u5834\u3092\u8003\u3048\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u8a2d\u5b9a\u306b\u57fa\u3065\u3044\u3066\u8a08\u7b97\u3092\u884c\u3044\u307e\u3059:<\/p>\n<ul>\n<li><strong>\u30eb\u30fc\u30d7\u306e\u5f62\u72b6<\/strong>: \u5168\u3066\u306e\u8fba\u306e\u9577\u3055\u304c<a>\u4f4d\u7f6e<\/a>\u306e\u56db\u89d2\u5f62<\/li>\n<li><strong>\u96fb\u6d41<\/strong>: \u4e00\u5b9a\u306e\u96fb\u6d41<a>I<\/a>\u304c\u6d41\u308c\u3066\u3044\u308b<\/li>\n<li><strong>\u8a08\u6e2c\u70b9<\/strong>: \u56db\u89d2\u5f62\u306e\u4e2d\u5fc3<\/li>\n<\/ul>\n<h3>\u8a08\u7b97\u65b9\u6cd5<\/h3>\n<p>\u56db\u89d2\u30eb\u30fc\u30d7\u306e\u5404\u8fba\u304b\u3089\u306e\u78c1\u5834\u306e\u5bc4\u4e0e\u3092\u500b\u5225\u306b\u8a08\u7b97\u3057\u3001\u6700\u7d42\u7684\u306b\u7dcf\u548c\u3092\u53d6\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u5404\u8fba\u304b\u3089\u306e\u5bc4\u4e0e\u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3059\u3002<\/p>\n<p>\u56db\u89d2\u5f62\u306e\u5404\u8fba\u304b\u3089\u4e2d\u5fc3\u70b9\u307e\u3067\u306e\u8ddd\u96e2\u306f\u540c\u3058\u3067\u3042\u308a\u3001\u5404\u8fba\u306e\u96fb\u6d41\u8981\u7d20\u304c\u4f5c\u308b\u78c1\u5834\u3082\u5bfe\u79f0\u7684\u3067\u3059\u3002\u30d3\u30aa\u30fb\u30b5\u30d0\u30fc\u30eb\u306e\u6cd5\u5247\u3092\u7528\u3044\u3066\u4e00\u8fba\u306b\u6cbf\u3063\u3066\u5fae\u5c0f\u8981\u7d20\u304b\u3089\u306e\u5bc4\u4e0e\u3092\u8a08\u7b97\u3057\u3001\u305d\u306e\u7a4d\u5206\u3092\u7528\u3044\u3066\u7dcf\u548c\u3092\u53d6\u308a\u307e\u3059\u3002<\/p>\n<h4>\u8fba\u306e\u5bc4\u4e0e\u3092\u500b\u5225\u306b\u8a08\u7b97\uff1a<\/h4>\n<p><strong>\u4e00\u8fba\u306e\u5bc4\u4e0e:<\/strong> \\[dB = \\frac{\\mu_0}{4\\pi} \\frac{I dl \\sin \\theta}{r^2}\\]<\/p>\n<p><strong>\u7a4d\u5206\u7bc4\u56f2:<\/strong> \\[-\\frac{a}{2} \\le x \\le \\frac{a}{2}\\]<\/p>\n<p>\u8a08\u6e2c\u70b9\u304c\u4e2d\u5fc3\u306e\u5834\u5408\u3001\u5168\u3066\u306e\u8fba\u304b\u3089\u306e\u5bc4\u4e0e\u306f\u540c\u3058\u306a\u306e\u3067\u3001\u5358\u4e00\u306e\u8fba\u306e\u5bc4\u4e0e\u30924\u500d\u3057\u307e\u3059\u3002\u6700\u7d42\u7684\u306a\u5408\u8a08\u78c1\u5834 \\( B \\) \u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u305b\u307e\u3059\uff1a<\/p>\n<p>\n  \\[<br \/>\n  B = 4 \\left(\\frac{\\mu_0 I a}{4\\pi} \\int_{-\\frac{a}{2}}^{\\frac{a}{2}} \\frac{dx \\sin \\theta}{r^2}\\right)<br \/>\n  \\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001\u8ddd\u96e2\u3001\u89d2\u5ea6\u3001\u304a\u3088\u3073\u7a4d\u5206\u7bc4\u56f2\u3092\u5177\u4f53\u7684\u306b\u89e3\u304d\u3001\u6700\u7d42\u7684\u306a\u6570\u5f0f\u3092\u5c0e\u304d\u51fa\u3057\u307e\u3059\u3002<\/p>\n<h4>\u6700\u7d42\u7684\u306a\u78c1\u5834\uff1a<\/h4>\n<p>\u30b7\u30f3\u30d7\u30ea\u30d5\u30a1\u30a4\u5f8c\u3001\u4e2d\u5fc3\u3067\u306e\u78c1\u5834\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p>\n  \\[<br \/>\n  B = \\frac{\\mu_0 I}{2\\pi} \\frac{2 \\times a^2}{(a^2 + (a\/2)^2)^{3\/2}}<br \/>\n  \\]\n<\/p>\n<h3>\u7d50\u8ad6<\/h3>\n<p>\u4ee5\u4e0a\u306e\u8a08\u7b97\u3088\u308a\u3001\u56db\u89d2\u30eb\u30fc\u30d7\u306e\u4e2d\u5fc3\u306b\u304a\u3051\u308b\u78c1\u5834\u3092\u5177\u4f53\u7684\u306b\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u304a\u3088\u3073\u305d\u306e\u539f\u7406\u3092\u7406\u89e3\u3057\u307e\u3057\u305f\u3002\u3053\u306e\u77e5\u8b58\u3092\u5fdc\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u8907\u96d1\u306a\u96fb\u78c1\u6c17\u5b66\u306e\u554f\u984c\u3082\u89e3\u6c7a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3067\u3057\u3087\u3046\u3002<\/p>\n<p>\u7269\u7406\u3084\u5de5\u5b66\u306e\u7406\u89e3\u3092\u6df1\u3081\u308b\u305f\u3081\u306b\u306f\u3001\u3053\u3046\u3057\u305f\u57fa\u672c\u7684\u306a\u554f\u984c\u3092\u4e00\u3064\u3072\u3068\u3064\u7fd2\u5f97\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u305c\u3072\u5b9f\u969b\u306b\u8a08\u7b97\u3092\u8a66\u307f\u3066\u3001\u7406\u89e3\u3092\u6df1\u3081\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u56db\u89d2\u30eb\u30fc\u30d7\u306e\u4e2d\u5fc3\u306e\u78c1\u5834\uff1a\u56db\u89d2\u30eb\u30fc\u30d7\u306b\u96fb\u6d41\u304c\u6d41\u308c\u308b\u969b\u306e\u4e2d\u5fc3\u306b\u304a\u3051\u308b\u78c1\u5834\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u57fa\u672c\u6982\u5ff5\u3092\u89e3\u8aac\u3002\u30d3\u30aa\u30fb\u30b5\u30d0\u30fc\u30eb\u306e\u6cd5\u5247\u3092\u9069\u7528\u3057\u3066\u5177\u4f53\u7684\u306a\u89e3\u3092\u5c0e\u51fa\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-209280","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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