{"id":213803,"date":"2024-11-03T03:54:14","date_gmt":"2024-11-03T03:54:14","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/?p=213803"},"modified":"2024-11-03T03:54:14","modified_gmt":"2024-11-03T03:54:14","slug":"%e4%b8%80%e6%a7%98%e3%81%ab%e5%b8%af%e9%9b%bb%e3%81%97%e3%81%9f%e5%86%86%e7%9b%a4%e3%81%ab%e3%82%88%e3%82%8b%e9%9b%bb%e5%a0%b4%e3%81%ae%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e4%b8%80%e6%a7%98%e3%81%ab%e5%b8%af%e9%9b%bb%e3%81%97%e3%81%9f%e5%86%86%e7%9b%a4%e3%81%ab%e3%82%88%e3%82%8b%e9%9b%bb%e5%a0%b4%e3%81%ae%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u4e00\u69d8\u306b\u5e2f\u96fb\u3057\u305f\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834\u306e\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"<p class=\"sidekick\">\u4e00\u69d8\u306b\u5e2f\u96fb\u3057\u305f\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u89e3\u8aac\u3002\u57fa\u672c\u7406\u8ad6\u304b\u3089\u5177\u4f53\u4f8b\u307e\u3067\u3001\u521d\u5fc3\u8005\u306b\u3082\u5206\u304b\u308a\u3084\u3059\u304f\u4e01\u5be7\u306b\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h2>\u4e00\u69d8\u306b\u5e2f\u96fb\u3057\u305f\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834\u306e\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u4e00\u69d8\u306b\u5e2f\u96fb\u3057\u305f\u5186\u76e4\u304c\u4f5c\u308b\u96fb\u5834\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306f\u3001\u96fb\u78c1\u6c17\u5b66\u306b\u304a\u3051\u308b\u57fa\u672c\u7684\u306a\u554f\u984c\u306e\u4e00\u3064\u3067\u3059\u3002\u3053\u306e\u8a08\u7b97\u306b\u306f\u30ac\u30a6\u30b9\u306e\u6cd5\u5247\u3084\u30af\u30fc\u30ed\u30f3\u306e\u6cd5\u5247\u3092\u7528\u3044\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u305d\u306e\u624b\u9806\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<h2>\u7528\u8a9e\u3068\u5b9a\u7fa9<\/h2>\n<ul>\n<li><strong>\u9762\u5bc6\u5ea6 (\\(\\sigma\\)):<\/strong> \u4e00\u69d8\u306b\u5e2f\u96fb\u3057\u305f\u5186\u76e4\u306e\u5358\u4f4d\u9762\u7a4d\u3042\u305f\u308a\u306e\u96fb\u8377\u91cf\u3002<\/li>\n<li><strong>\u96fb\u5834 (\\(\\vec{E}\\)):<\/strong> \u5e2f\u96fb\u4f53\u304c\u4f5c\u308b\u96fb\u5834\u3002<\/li>\n<li><strong>\u5186\u76e4\u306e\u534a\u5f84 (R):<\/strong> \u5186\u76e4\u306e\u534a\u5f84\u3002<\/li>\n<li><strong>\u5186\u76e4\u4e0a\u306e\u4efb\u610f\u70b9\u306e\u5ea7\u6a19 (z):<\/strong> \u5186\u76e4\u306e\u4e2d\u5fc3\u304b\u3089\u306e\u5782\u76f4\u8ddd\u96e2\u3002<\/li>\n<\/ul>\n<h2>\u8a08\u7b97\u624b\u9806<\/h2>\n<ol>\n<li>\n<h3>\u96fb\u8377\u8981\u7d20\u306e\u5b9a\u7fa9<\/h3>\n<p>\u5186\u76e4\u306e\u5fae\u5c0f\u9818\u57df\u3092\u8003\u3048\u3001\u305d\u306e\u9818\u57df\u5185\u306e\u5fae\u5c0f\u96fb\u8377 \\(dQ\\) \u306f\u4ee5\u4e0b\u3067\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\\(dQ = \\sigma dA\\)<\/p>\n<p>\u3053\u3053\u3067\u3001\\(dA\\) \u306f\u5fae\u5c0f\u9762\u7a4d\u8981\u7d20\u3067\u3059\u3002<\/p>\n<\/li>\n<li>\n<h3>\u5fae\u5c0f\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834\u306e\u8a08\u7b97<\/h3>\n<p>\u5fae\u5c0f\u96fb\u8377\u304c\u4f5c\u308b\u96fb\u5834\u306e\u5927\u304d\u3055 \\(d\\vec{E}\\) \u306f\u30af\u30fc\u30ed\u30f3\u306e\u6cd5\u5247\u3092\u7528\u3044\u3066\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\\(dE = \\frac{k_e dQ}{r^2}\\)<\/p>\n<p>\u3053\u3053\u3067\u3001\\(k_e \u306f\u30af\u30fc\u30ed\u30f3\u5b9a\u6570 (8.99 \\times 10^9 Nm^2\/C^2)\u3001r \u306f\u89b3\u6e2c\u70b9\u307e\u3067\u306e\u8ddd\u96e2\u3067\u3059\u3002<\/p>\n<\/li>\n<li>\n<h3>\u8ddd\u96e2\u306e\u8868\u73fe<\/h3>\n<p>z \u8ef8\u4e0a\u306e\u4efb\u610f\u70b9\u307e\u3067\u306e\u76f4\u7dda\u8ddd\u96e2 \\(r\\) \u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\\(r = \\sqrt{(R^2 + z^2)}\\)<\/p>\n<\/li>\n<li>\n<h3>\u96fb\u5834\u306e\u7a4d\u5206<\/h3>\n<p>\u5186\u76e4\u4e0a\u306e\u5fae\u5c0f\u96fb\u8377\u304c\u4f5c\u308a\u51fa\u3059\u96fb\u5834\u6210\u5206\u3092\u7a4d\u5206\u3057\u3066\u3001\u5168\u4f53\u306e\u96fb\u5834\u3092\u6c42\u3081\u307e\u3059\u3002z \u8ef8\u4e0a\u306e\u5782\u76f4\u6210\u5206 (E_z) \u306b\u3064\u3044\u3066\u7a4d\u5206\u3092\u884c\u3044\u307e\u3059\uff1a<\/p>\n<p>\n        \\(E_z = \\int_0^R \\left( \\frac{k_e \\sigma 2\\pi r^{&#8216;} \\cdot z}{(r^2 + z^2)^{3\/2}} \\right) dr^{&#8216;}\\)\n        <\/p>\n<\/li>\n<li>\n<h3>\u6700\u7d42\u7d50\u679c<\/h3>\n<p>\u7a4d\u5206\u3092\u5b8c\u4e86\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306a\u7d50\u679c\u304c\u5f97\u3089\u308c\u307e\u3059\uff1a<\/p>\n<p>\n        \\(E_z = \\frac{\\sigma}{2\\epsilon_0} (1 &#8211; \\frac{z}{\\sqrt{R^2 + z^2}})\\)\n        <\/p>\n<p>\u3053\u3053\u3067\u3001\\(\\epsilon_0 \u306f\u81ea\u7531\u7a7a\u9593\u306e\u8a98\u96fb\u7387 (8.85 \\times 10^{-12} C^2\/Nm^2)\u3067\u3059\u3002\\)<\/p>\n<\/li>\n<\/ol>\n<p>\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u4e00\u69d8\u306b\u5e2f\u96fb\u3057\u305f\u5186\u76e4\u304c\u4f5c\u308a\u51fa\u3059\u96fb\u5834\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u65b9\u6cd5\u306f\u5186\u76e4\u306e\u4e2d\u5fc3\u8ef8\u4e0a\u306e\u96fb\u5834\u3092\u6c42\u3081\u308b\u306e\u306b\u6709\u52b9\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u69d8\u306b\u5e2f\u96fb\u3057\u305f\u5186\u76e4\u306b\u3088\u308b\u96fb\u5834\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u89e3\u8aac\u3002\u57fa\u672c\u7406\u8ad6\u304b\u3089\u5177\u4f53\u4f8b\u307e\u3067\u3001\u521d\u5fc3\u8005\u306b\u3082\u5206\u304b\u308a\u3084\u3059\u304f\u4e01\u5be7\u306b\u8aac\u660e\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":[102],"tags":[],"class_list":["post-213803","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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