{"id":209239,"date":"2024-03-21T14:06:48","date_gmt":"2024-03-21T14:06:48","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e4%ba%a4%e6%b5%81%e3%82%a4%e3%83%b3%e3%83%94%e3%83%bc%e3%83%80%e3%83%b3%e3%82%b9%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%95-2\/"},"modified":"2024-05-17T15:09:24","modified_gmt":"2024-05-17T15:09:24","slug":"%e4%ba%a4%e6%b5%81%e3%82%a4%e3%83%b3%e3%83%94%e3%83%bc%e3%83%80%e3%83%b3%e3%82%b9%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%95-2","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e4%ba%a4%e6%b5%81%e3%82%a4%e3%83%b3%e3%83%94%e3%83%bc%e3%83%80%e3%83%b3%e3%82%b9%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%95-2\/","title":{"rendered":"\u4ea4\u6d41\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306e\u516c\u5f0f | \u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"<p class=\"sidekick\">\u4ea4\u6d41\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306e\u516c\u5f0f\u3068\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u3002\u76f4\u5217\u56de\u8def\u304a\u3088\u3073\u4e26\u5217\u56de\u8def\u306b\u304a\u3051\u308b\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306e\u5177\u4f53\u7684\u306a\u8a08\u7b97\u4f8b\u3082\u7d39\u4ecb\u3002<\/p>\n<h2>\u4ea4\u6d41\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306e\u516c\u5f0f | \u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u96fb\u6c17\u56de\u8def\u306b\u304a\u3044\u3066\u3001\u4ea4\u6d41\uff08AC\uff09\u4fe1\u53f7\u304c\u6d41\u308c\u308b\u3068\u304d\u306b\u91cd\u8981\u306a\u6982\u5ff5\u306e\u4e00\u3064\u304c\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u3067\u3059\u3002\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306f\u3001\u56de\u8def\u304c\u4ea4\u6d41\u4fe1\u53f7\u306b\u5bfe\u3057\u3066\u3069\u306e\u3088\u3046\u306b\u62b5\u6297\u3059\u308b\u304b\u3092\u793a\u3059\u3082\u306e\u3067\u3001\u8907\u7d20\u6570\u3068\u3057\u3066\u8868\u3055\u308c\u307e\u3059\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u4ea4\u6d41\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306e\u516c\u5f0f\u3068\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n<h3>\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u3068\u306f\uff1f<\/h3>\n<p>\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\uff08<i>Impedance<\/i>\uff09\u306f\u3001\u56de\u8def\u8981\u7d20\u304c\u96fb\u6d41\u306e\u6d41\u308c\u306b\u5bfe\u3059\u308b\u300c\u62b5\u6297\u300d\u3068\u300c\u30ea\u30a2\u30af\u30bf\u30f3\u30b9\u300d\u306e\u4e21\u65b9\u3092\u5305\u542b\u3059\u308b\u91cf\u3067\u3059\u3002\u8a18\u53f7 <i>Z<\/i> \u3067\u8868\u3055\u308c\u3001\u5358\u4f4d\u306f\u30aa\u30fc\u30e0 (\u03a9) \u3067\u3059\u3002<\/p>\n<p>\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306f\u4ee5\u4e0b\u306e\u5f0f\u3067\u793a\u3055\u308c\u307e\u3059\uff1a<\/p>\n<pre>Z = R + jX<\/pre>\n<p>\u3053\u3053\u3067\u3001<i>R<\/i> \u306f\u62b5\u6297\uff08\u30ea\u30a2\u30eb\u90e8\u5206\uff09\u3001<i>X<\/i> \u306f\u30ea\u30a2\u30af\u30bf\u30f3\u30b9\uff08\u865a\u6570\u90e8\u5206\uff09\u3001<i>j<\/i> \u306f\u865a\u6570\u5358\u4f4d\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<h3>\u30ea\u30a2\u30af\u30bf\u30f3\u30b9\u306e\u7a2e\u985e<\/h3>\n<p>\u30ea\u30a2\u30af\u30bf\u30f3\u30b9 <i>X<\/i> \u306f\u3001\u30b3\u30a4\u30eb\uff08\u30a4\u30f3\u30c0\u30af\u30bf\u30f3\u30b9\uff09\u3084\u30b3\u30f3\u30c7\u30f3\u30b5\u30fc\uff08\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\uff09\u306e\u3088\u3046\u306a\u56de\u8def\u8981\u7d20\u306b\u3088\u3063\u3066\u5f15\u304d\u8d77\u3053\u3055\u308c\u308b\u3082\u306e\u3067\u3059\u3002\u30ea\u30a2\u30af\u30bf\u30f3\u30b9\u306b\u306f\u4ee5\u4e0b\u306e\u4e8c\u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\uff1a<\/p>\n<ul>\n<li><b>\u30a4\u30f3\u30c0\u30af\u30bf\u30f3\u30b9\u30ea\u30a2\u30af\u30bf\u30f3\u30b9<\/b> (<i>X_L<\/i>): \u30b3\u30a4\u30eb\u306b\u3088\u308b\u30ea\u30a2\u30af\u30bf\u30f3\u30b9\u3067\u3001\u516c\u5f0f\u306f <i>X_L = \\omega L<\/i> \u3067\u3059\u3002\u3053\u3053\u3067\u3001<i>\\omega<\/i> \u306f\u89d2\u5468\u6ce2\u6570 (\\(\\omega = 2\\pi f\\)\u3001<i>f<\/i> \u306f\u5468\u6ce2\u6570)\u3001<i>L<\/i> \u306f\u30a4\u30f3\u30c0\u30af\u30bf\u30f3\u30b9\u4fa1\uff08\u30d8\u30f3\u30ea\u5358\u4f4d\uff09\u3067\u3059\u3002<\/li>\n<li><b>\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u30ea\u30a2\u30af\u30bf\u30f3\u30b9<\/b> (<i>X_C<\/i>): \u30b3\u30f3\u30c7\u30f3\u30b5\u30fc\u306b\u3088\u308b\u30ea\u30a2\u30af\u30bf\u30f3\u30b9\u3067\u3001\u516c\u5f0f\u306f <i>X_C = -\\frac{1}{\\omega C}<\/i> \u3067\u3059\u3002\u3053\u3053\u3067\u3001<i>C<\/i> \u306f\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u4fa1\uff08\u30d5\u30a1\u30e9\u30c3\u30c9\u5358\u4f4d\uff09\u3067\u3059\u3002<\/li>\n<\/ul>\n<h3>\u4ea4\u6d41\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306e\u8a08\u7b97\u65b9\u6cd5<\/h3>\n<p>\u5177\u4f53\u7684\u306a\u8a08\u7b97\u65b9\u6cd5\u3092\u6b21\u306b\u793a\u3057\u307e\u3059\u3002\u307e\u305a\u3001\u76f4\u5217\u56de\u8def\u306e\u5834\u5408\u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3059\u3002<\/p>\n<h4>\u76f4\u5217\u56de\u8def\u306e\u5834\u5408<\/h4>\n<p>\u62b5\u6297<code>R<\/code>\uff08\u30aa\u30fc\u30e0\uff09\u3001\u30a4\u30f3\u30c0\u30af\u30bf\u30f3\u30b9<code>L<\/code>\uff08\u30d8\u30f3\u30ea\uff09\u3001\u304a\u3088\u3073\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9<code>C<\/code>\uff08\u30d5\u30a1\u30e9\u30c3\u30c9\uff09\u304c\u76f4\u5217\u306b\u63a5\u7d9a\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u5168\u4f53\u306e\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9 <code>Z<\/code> \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<pre>Z = R + j(\\omega L - \\frac{1}{\\omega C})<\/pre>\n<p>\u3053\u3053\u3067\u3001<code>\\omega = 2\\pi f<\/code>\uff08<code>f<\/code> \u306f\u5468\u6ce2\u6570\uff09\u3067\u3059\u3002\u5177\u4f53\u4f8b\u3092\u6319\u3052\u3066\u307f\u307e\u3057\u3087\u3046\uff1a<\/p>\n<p>\u62b5\u6297\u304c10\u03a9\u3001\u30a4\u30f3\u30c0\u30af\u30bf\u30f3\u30b9\u304c50mH (0.05H)\u3001\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u304c100\u03bcF (0.0001F)\u3001\u5468\u6ce2\u6570\u304c50Hz\u306e\u5834\u5408\uff1a<\/p>\n<ul>\n<li><code>R = 10\u03a9<\/code><\/li>\n<li><code>L = 0.05H<\/code><\/li>\n<li><code>C = 0.0001F<\/code><\/li>\n<li><code>f = 50Hz<\/code><\/li>\n<\/ul>\n<p>\u89d2\u5468\u6ce2\u6570\u306f<code>\\omega = 2\\pi \\times 50 = 314.16<\/code>\u30e9\u30b8\u30a2\u30f3\u6bce\u79d2\u3002\u3059\u308b\u3068\u3001\u30a4\u30f3\u30c0\u30af\u30bf\u30f3\u30b9\u30ea\u30a2\u30af\u30bf\u30f3\u30b9<code>X_L = 314.16 \\times 0.05 = 15.71\u03a9<\/code>\u3001\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u30ea\u30a2\u30af\u30bf\u30f3\u30b9<code>X_C = -\\frac{1}{314.16 \\times 0.0001} = -31.83\u03a9<\/code>\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5168\u4f53\u306e\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306f\uff1a<\/p>\n<pre>Z = 10 + j(15.71 - 31.83) = 10 - j16.12\u03a9<\/pre>\n<p>\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u76f4\u5217\u56de\u8def\u306e\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306f\u5b9f\u90e8\u3068\u865a\u90e8\u3092\u3082\u3064\u8907\u7d20\u6570\u3068\u3057\u3066\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<h4>\u4e26\u5217\u56de\u8def\u306e\u5834\u5408<\/h4>\n<p>\u4e26\u5217\u56de\u8def\u306b\u304a\u3044\u3066\u306f\u3001\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306e\u8a08\u7b97\u304c\u5c11\u3057\u8907\u96d1\u306b\u306a\u308a\u307e\u3059\u3002\u62b5\u6297\u3001\u30a4\u30f3\u30c0\u30af\u30bf\u30f3\u30b9\u3001\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u304c\u4e26\u5217\u306b\u63a5\u7d9a\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u5404\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306e\u9006\u6570\u306e\u548c\u3092\u53d6\u308a\u307e\u3059\u3002\u305d\u308c\u305e\u308c\u306e\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u3092 <i>Z_R<\/i>, <i>Z_L<\/i>, <i>Z_C<\/i> \u3068\u3057\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<pre>\\frac{1}{Z} = \\frac{1}{Z_R} + \\frac{1}{Z_L} + \\frac{1}{Z_C}<\/pre>\n<p>\u4f8b\u3048\u3070\uff1a<\/p>\n<pre>\\frac{1}{Z} = \\frac{1}{R} + \\frac{1}{j \\omega L} + j \\omega C<\/pre>\n<p>\u3053\u308c\u3092\u89e3\u304f\u3053\u3068\u3067\u3001\u4e26\u5217\u56de\u8def\u306e\u5168\u4f53\u306e\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n<h3>\u307e\u3068\u3081<\/h3>\n<p>\u4ea4\u6d41\u56de\u8def\u306b\u304a\u3051\u308b\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306f\u3001\u56de\u8def\u306e\u52d5\u4f5c\u7279\u6027\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3059\u3002\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3001\u56de\u8def\u304c\u4ea4\u6d41\u4fe1\u53f7\u306b\u5bfe\u3057\u3066\u3069\u306e\u3088\u3046\u306b\u632f\u308b\u821e\u3046\u304b\u3092\u4e88\u6e2c\u3067\u304d\u307e\u3059\u3002\u672c\u8a18\u4e8b\u3067\u306f\u57fa\u672c\u7684\u306a\u8a08\u7b97\u65b9\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3057\u305f\u304c\u3001\u3088\u308a\u8907\u96d1\u306a\u56de\u8def\u306b\u3064\u3044\u3066\u306f\u3055\u3089\u306a\u308b\u5b66\u7fd2\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4ea4\u6d41\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306e\u516c\u5f0f\u3068\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u3002\u76f4\u5217\u56de\u8def\u304a\u3088\u3073\u4e26\u5217\u56de\u8def\u306b\u304a\u3051\u308b\u30a4\u30f3\u30d4\u30fc\u30c0\u30f3\u30b9\u306e\u5177\u4f53\u7684\u306a\u8a08\u7b97\u4f8b\u3082\u7d39\u4ecb\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-209239","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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