{"id":209024,"date":"2024-03-21T14:05:32","date_gmt":"2024-03-21T14:05:32","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e3%83%a9%e3%83%97%e3%83%a9%e3%82%b9%e5%a4%89%e6%8f%9b-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95%e3%80%81%e5%bf%9c%e7%94%a8\/"},"modified":"2024-05-17T15:06:03","modified_gmt":"2024-05-17T15:06:03","slug":"%e3%83%a9%e3%83%97%e3%83%a9%e3%82%b9%e5%a4%89%e6%8f%9b-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95%e3%80%81%e5%bf%9c%e7%94%a8","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e3%83%a9%e3%83%97%e3%83%a9%e3%82%b9%e5%a4%89%e6%8f%9b-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95%e3%80%81%e5%bf%9c%e7%94%a8\/","title":{"rendered":"\u30e9\u30d7\u30e9\u30b9\u5909\u63db | \u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5\u3001\u5fdc\u7528"},"content":{"rendered":"

\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306e\u6982\u8981\u3001\u57fa\u672c\u7684\u306a\u8a08\u7b97\u65b9\u6cd5\u3001\u305d\u3057\u3066\u96fb\u6c17\u30fb\u78c1\u6c17\u5b66\u3084\u5236\u5fa1\u7406\u8ad6\u306a\u3069\u306e\u5b9f\u969b\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n

\u30e9\u30d7\u30e9\u30b9\u5909\u63db | \u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5\u3001\u5fdc\u7528<\/h2>\n

\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306f\u3001\u8907\u96d1\u306a\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u7c21\u5358\u306b\u89e3\u304f\u305f\u3081\u306e\u5f37\u529b\u306a\u30c4\u30fc\u30eb\u3067\u3059\u3002\u7279\u306b\u96fb\u6c17\u30fb\u78c1\u6c17\u5b66\u3084\u5236\u5fa1\u7406\u8ad6\u3067\u591a\u304f\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u5909\u63db\u306f\u95a2\u6570\u3092\u6642\u9593\u9818\u57df\u304b\u3089\u5468\u6ce2\u6570\u9818\u57df\u306b\u79fb\u3057\u3001\u305d\u306e\u7d50\u679c\u3001\u89e3\u6790\u304c\u5bb9\u6613\u306b\u306a\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u672c\u8a18\u4e8b\u3067\u306f\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306e\u6982\u8981\u3001\u57fa\u672c\u7684\u306a\u8a08\u7b97\u65b9\u6cd5\u3001\u305d\u3057\u3066\u5fdc\u7528\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n

\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306e\u6982\u8981<\/h2>\n

\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306f\u3001\u95a2\u6570 \\( f(t) \\) \u3092\u5909\u63db\u3057\u3066\u65b0\u3057\u3044\u95a2\u6570 \\( F(s) \\) \u3092\u5f97\u308b\u6570\u5b66\u7684\u64cd\u4f5c\u3067\u3059\u3002\u6642\u9593\u9818\u57df \\( t \\) \u304b\u3089\u8907\u7d20\u6570\u5e73\u9762\u306e\u5468\u6ce2\u6570\u9818\u57df \\( s \\) \u306b\u95a2\u6570\u3092\u30de\u30c3\u30d4\u30f3\u30b0\u3057\u307e\u3059\u3002\u305d\u306e\u57fa\u672c\u7684\u306a\u5b9a\u7fa9\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\uff1a<\/p>\n

\\[ F(s) = \\int_{0}^{\\infty} f(t) e^{-st} \\, dt \\] <\/code><\/p>\n

\u3053\u3053\u3067\u3001\\( s \\) \u306f\u8907\u7d20\u6570\u3067\u3001\u901a\u5e38\u3001\\( s = \\sigma + j\\omega \\) \u3068\u8868\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u5909\u63db\u306b\u3088\u308a\u3001\u89e3\u6790\u304c\u96e3\u3057\u3044\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u3088\u308a\u6271\u3044\u3084\u3059\u3044\u4ee3\u6570\u65b9\u7a0b\u5f0f\u306b\u5909\u63db\u3067\u304d\u307e\u3059\u3002<\/p>\n

\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306e\u8a08\u7b97\u65b9\u6cd5<\/h2>\n

\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u4ee5\u4e0b\u306e\u624b\u9806\u3092\u8e0f\u307f\u307e\u3059\uff1a<\/p>\n

    \n
  1. \u5143\u306e\u95a2\u6570 \\( f(t) \\) \u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/li>\n
  2. \u4e0a\u8a18\u306e\u5b9a\u7fa9\u5f0f\u306b\u5f93\u3063\u3066\u7a4d\u5206\u3092\u884c\u3044\u307e\u3059\u3002<\/li>\n
  3. \u5f97\u3089\u308c\u305f\u95a2\u6570 \\( F(s) \\) \u3092\u6574\u7406\u3057\u307e\u3059\u3002<\/li>\n<\/ol>\n

    \u4f8b\u3048\u3070\u3001\u7c21\u5358\u306a\u95a2\u6570 \\( f(t) = e^{at} \\) \u306e\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u3092\u8003\u3048\u307e\u3059\u3002\u8a08\u7b97\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n

    \\[ F(s) = \\int_{0}^{\\infty} e^{at} e^{-st} \\, dt = \\int_{0}^{\\infty} e^{(a-s)t} \\, dt \\]<\/code><\/p>\n

    \u3053\u306e\u7a4d\u5206\u3092\u89e3\u304f\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n

    \\[ F(s) = \\left[ \\frac{e^{(a-s)t}}{a-s} \\right]_{0}^{\\infty} = \\frac{1}{s-a} \\]<\/code><\/p>\n

    \u5f93\u3063\u3066\u3001\\( f(t) = e^{at} \\) \u306e\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306f \\( F(s) = \\frac{1}{s-a} \\) \u3067\u3059\u3002<\/p>\n

    \u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306e\u5fdc\u7528<\/h2>\n

    \u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306f\u591a\u304f\u306e\u5206\u91ce\u3067\u5f79\u7acb\u3064\u30c4\u30fc\u30eb\u3067\u3059\u3002\u7279\u306b\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30b7\u30ca\u30ea\u30aa\u3067\u5229\u7528\u3055\u308c\u307e\u3059\uff1a<\/p>\n

    1. \u96fb\u6c17\u56de\u8def\u89e3\u6790<\/h3>\n

    \u96fb\u6c17\u56de\u8def\u306b\u304a\u3051\u308b\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u969b\u3001\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306f\u975e\u5e38\u306b\u6709\u7528\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001RLC\u56de\u8def\u306e\u89e3\u6790\u3067\u306f\u3001\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u56de\u8def\u306e\u904e\u6e21\u5fdc\u7b54\u3092\u7c21\u5358\u306b\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n

    2. \u5236\u5fa1\u30b7\u30b9\u30c6\u30e0<\/h3>\n

    \u5236\u5fa1\u7406\u8ad6\u306b\u304a\u3044\u3066\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u5b89\u5b9a\u6027\u3084\u5fdc\u7b54\u6027\u3092\u89e3\u6790\u3059\u308b\u305f\u3081\u306b\u3001\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u304c\u7528\u3044\u3089\u308c\u307e\u3059\u3002\u7279\u306b\u4f1d\u9054\u95a2\u6570\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u6319\u52d5\u3092\u8a55\u4fa1\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n

    3. \u6a5f\u68b0\u5de5\u5b66<\/h3>\n

    \u6a5f\u68b0\u30b7\u30b9\u30c6\u30e0\u306b\u304a\u3051\u308b\u632f\u52d5\u89e3\u6790\u3084\u71b1\u4f1d\u5c0e\u89e3\u6790\u3067\u3082\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306f\u983b\u7e41\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u305d\u306e\u7d50\u679c\u3001\u8907\u96d1\u306a\u6642\u9593\u4f9d\u5b58\u554f\u984c\u304c\u5468\u6ce2\u6570\u9818\u57df\u3067\u306e\u554f\u984c\u306b\u5909\u63db\u3055\u308c\u3001\u89e3\u6790\u304c\u5bb9\u6613\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

    \u307e\u3068\u3081<\/h2>\n

    \u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306f\u3001\u7269\u7406\u3084\u5de5\u5b66\u306e\u69d8\u3005\u306a\u5206\u91ce\u3067\u5f79\u7acb\u3064\u5f37\u529b\u306a\u6570\u5b66\u7684\u30c4\u30fc\u30eb\u3067\u3059\u3002\u305d\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3068\u8a08\u7b97\u65b9\u6cd5\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u591a\u304f\u306e\u8907\u96d1\u306a\u554f\u984c\u3092\u7c21\u5358\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3092\u6a5f\u4f1a\u306b\u66f4\u306b\u6df1\u304f\u63a2\u6c42\u3057\u3001\u5b9f\u969b\u306e\u5fdc\u7528\u3067\u305d\u306e\u52b9\u679c\u3092\u4f53\u611f\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

    \u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306e\u6982\u8981\u3001\u57fa\u672c\u7684\u306a\u8a08\u7b97\u65b9\u6cd5\u3001\u305d\u3057\u3066\u96fb\u6c17\u30fb\u78c1\u6c17\u5b66\u3084\u5236\u5fa1\u7406\u8ad6\u306a\u3069\u306e\u5b9f\u969b\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\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":[96],"tags":[97],"class_list":["post-209024","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\u30e9\u30d7\u30e9\u30b9\u5909\u63db | \u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5\u3001\u5fdc\u7528<\/title>\n<meta name=\"description\" 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