{"id":213888,"date":"2024-11-11T08:44:24","date_gmt":"2024-11-11T08:44:24","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/?p=213888"},"modified":"2024-11-11T08:44:24","modified_gmt":"2024-11-11T08:44:24","slug":"%e5%b8%af%e9%9b%bb%e5%b0%8e%e4%bd%93%e7%90%83%e3%81%ab%e3%82%88%e3%82%8b%e9%9b%bb%e5%a0%b4%e3%81%ae%e6%b1%82%e3%82%81%e6%96%b9","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e5%b8%af%e9%9b%bb%e5%b0%8e%e4%bd%93%e7%90%83%e3%81%ab%e3%82%88%e3%82%8b%e9%9b%bb%e5%a0%b4%e3%81%ae%e6%b1%82%e3%82%81%e6%96%b9\/","title":{"rendered":"\u5e2f\u96fb\u5c0e\u4f53\u7403\u306b\u3088\u308b\u96fb\u5834\u306e\u6c42\u3081\u65b9"},"content":{"rendered":"<p class=\"sidekick\">\u5e2f\u96fb\u5c0e\u4f53\u7403\u306b\u3088\u308b\u96fb\u5834\u306e\u6c42\u3081\u65b9\uff1a\u5e2f\u96fb\u3057\u305f\u5c0e\u4f53\u7403\u306e\u5468\u308a\u306b\u751f\u3058\u308b\u96fb\u5834\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u89e3\u8aac\u3002\u56f3\u89e3\u3084\u516c\u5f0f\u3092\u7528\u3044\u3066\u7406\u89e3\u3057\u3084\u3059\u304f\u8aac\u660e\u3002<\/p>\n<h2>\u5e2f\u96fb\u5c0e\u4f53\u7403\u306b\u3088\u308b\u96fb\u5834\u306e\u6c42\u3081\u65b9<\/h2>\n<p>\u96fb\u5834\uff08Electric Field\uff09\u306f\u3001\u96fb\u8377\u304c\u4ed6\u306e\u96fb\u8377\u306b\u53ca\u307c\u3059\u529b\u3092\u8868\u3059\u7269\u7406\u91cf\u3067\u3059\u3002\u5e2f\u96fb\u5c0e\u4f53\u7403\u306e\u5468\u56f2\u3067\u306e\u96fb\u5834\u306e\u6c42\u3081\u65b9\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306f\u3001\u96fb\u78c1\u6c17\u5b66\u306e\u57fa\u672c\u6982\u5ff5\u3092\u5b66\u3076\u4e0a\u3067\u91cd\u8981\u3067\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u534a\u5f84 \\( R \\)\u3001\u7dcf\u96fb\u8377\u91cf \\( Q \\) \u3092\u6301\u3064\u5e2f\u96fb\u5c0e\u4f53\u7403\u306b\u3088\u308b\u96fb\u5834\u306e\u6c42\u3081\u65b9\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h3>\u30af\u30fc\u30ed\u30f3\u306e\u6cd5\u5247<\/h3>\n<p>\u307e\u305a\u3001\u96fb\u5834\u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u30af\u30fc\u30ed\u30f3\u306e\u6cd5\u5247\u3092\u5fa9\u7fd2\u3057\u307e\u3059\u3002\u30af\u30fc\u30ed\u30f3\u306e\u6cd5\u5247\u306f\u30012\u3064\u306e\u70b9\u96fb\u8377\u306e\u9593\u306b\u50cd\u304f\u529b \\( F \\) \u304c\u96fb\u8377\u306e\u7a4d\u306b\u6bd4\u4f8b\u3057\u3001\u8ddd\u96e2\u306e\u4e8c\u4e57\u306b\u53cd\u6bd4\u4f8b\u3059\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u5f0f\u3067\u8868\u3059\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p>\n\\[ F = k_e \\frac{{|Q_1 Q_2|}}{{r^2}} \\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li>\\( F \\): \u9759\u96fb\u6c17\u529b<\/li>\n<li>\\( k_e \\): \u30af\u30fc\u30ed\u30f3\u5b9a\u6570\uff08\u7d04 \\( 8.99 \\times 10^9 \\, \\text{N} \\cdot \\text{m}^2 \/ \\text{C}^2 \\)\uff09<\/li>\n<li>\\( Q_1 \\) \u3068 \\( Q_2 \\): \u4e8c\u3064\u306e\u70b9\u96fb\u8377<\/li>\n<li>\\( r \\): \u4e8c\u3064\u306e\u96fb\u8377\u9593\u306e\u8ddd\u96e2<\/li>\n<\/ul>\n<h3>\u30ac\u30a6\u30b9\u306e\u6cd5\u5247<\/h3>\n<p>\u6b21\u306b\u3001\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\uff08Gauss&#8217;s Law\uff09\u3092\u4f7f\u3063\u3066\u5e2f\u96fb\u5c0e\u4f53\u7403\u306e\u96fb\u5834\u3092\u6c42\u3081\u307e\u3059\u3002\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u306f\u3001\u9589\u66f2\u9762\u3092\u901a\u904e\u3059\u308b\u96fb\u5834\u306e\u7dcf\u30d5\u30e9\u30c3\u30af\u30b9\u304c\u3001\u305d\u306e\u5185\u90e8\u306b\u3042\u308b\u7dcf\u96fb\u8377\u306b\u7b49\u3057\u3044\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u306f\u6b21\u306e\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\n\\[ \\oint \\mathbf{E} \\cdot d\\mathbf{A} = \\frac{Q_{\\text{enc}}}{\\epsilon_0} \\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li>\\( \\mathbf{E} \\): \u96fb\u5834<\/li>\n<li>\\( d\\mathbf{A} \\): \u5fae\u5c0f\u9762\u7a4d\u30d9\u30af\u30c8\u30eb<\/li>\n<li>\\( Q_{\\text{enc}} \\): \u9589\u66f2\u9762\u5185\u306e\u7dcf\u96fb\u8377<\/li>\n<li>\\( \\epsilon_0 \\): \u771f\u7a7a\u306e\u8a98\u96fb\u7387\uff08\u7d04 \\( 8.85 \\times 10^{-12} \\, \\text{C}^2 \/ \\text{N} \\cdot \\text{m}^2 \\)\uff09<\/li>\n<\/ul>\n<h3>\u96fb\u5834\u306e\u8a08\u7b97<\/h3>\n<p>\u96fb\u5834\u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u3001\u6b21\u306e2\u3064\u306e\u9818\u57df\u3092\u8003\u3048\u307e\u3059\uff1a<\/p>\n<ol>\n<li>\u7403\u306e\u5916\u90e8\uff08\\( r > R \\)\uff09<\/li>\n<li>\u7403\u306e\u5185\u90e8\uff08\\( r \\leq R \\)\uff09<\/li>\n<\/ol>\n<h4>\u7403\u306e\u5916\u90e8\u306e\u96fb\u5834<\/h4>\n<p>\u5e2f\u96fb\u5c0e\u4f53\u7403\u306e\u5916\u90e8\u3067\u306f\u3001\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u3092\u9069\u7528\u3059\u308b\u3068\uff1a<\/p>\n<p>\n\\[ E \\cdot 4 \\pi r^2 = \\frac{Q}{\\epsilon_0} \\]\n<\/p>\n<p>\u3053\u308c\u3092\u89e3\u304f\u3068\u3001\u96fb\u5834 \\( E \\) \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p>\n\\[ E = \\frac{Q}{4 \\pi \\epsilon_0 r^2} \\]\n<\/p>\n<h4>\u7403\u306e\u5185\u90e8\u306e\u96fb\u5834<\/h4>\n<p>\u5e2f\u96fb\u5c0e\u4f53\u7403\u306e\u5185\u90e8\u3067\u306f\u3001\u5c0e\u4f53\u306e\u7279\u6027\u306b\u3088\u308a\u96fb\u5834\u306f\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5c0e\u4f53\u5185\u306e\u81ea\u7531\u96fb\u8377\u304c\u5747\u4e00\u306b\u5206\u5e03\u3059\u308b\u305f\u3081\u3067\u3059\u3002\u4e00\u65b9\u3001\u3082\u3057\u7403\u304c\u975e\u5c0e\u4f53\uff08\u7d76\u7e01\u4f53\uff09\u3067\u3042\u308c\u3070\u3001<\/p>\n<p>\n\\[ E = \\frac{Qr}{4 \\pi \\epsilon_0 R^3} \\]\n<\/p>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u307e\u3068\u3081<\/h3>\n<p>\u5e2f\u96fb\u5c0e\u4f53\u7403\u306e\u5468\u56f2\u306e\u96fb\u5834\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u30af\u30fc\u30ed\u30f3\u306e\u6cd5\u5247\u3068\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u7403\u306e\u5916\u90e8\u3067\u306f\u3001\u96fb\u5834\u306f\u4e2d\u5fc3\u304b\u3089\u306e\u8ddd\u96e2\u306e\u4e8c\u4e57\u306b\u53cd\u6bd4\u4f8b\u3057\u3001\u5185\u90e8\u3067\u306f\u96fb\u5834\u306f\u30bc\u30ed\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u57fa\u672c\u7684\u306a\u539f\u7406\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u96fb\u78c1\u6c17\u5b66\u306e\u4ed6\u306e\u8907\u96d1\u306a\u8ab2\u984c\u306b\u3082\u53d6\u308a\u7d44\u3080\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5e2f\u96fb\u5c0e\u4f53\u7403\u306b\u3088\u308b\u96fb\u5834\u306e\u6c42\u3081\u65b9\uff1a\u5e2f\u96fb\u3057\u305f\u5c0e\u4f53\u7403\u306e\u5468\u308a\u306b\u751f\u3058\u308b\u96fb\u5834\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u89e3\u8aac\u3002\u56f3\u89e3\u3084\u516c\u5f0f\u3092\u7528\u3044\u3066\u7406\u89e3\u3057\u3084\u3059\u304f\u8aac\u660e\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":[102],"tags":[],"class_list":["post-213888","post","type-post","status-publish","format-standard","hentry","category-102","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- 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