{"id":209077,"date":"2024-03-21T14:05:50","date_gmt":"2024-03-21T14:05:50","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e3%82%b5%e3%82%a4%e3%82%af%e3%83%ad%e3%83%88%e3%83%ad%e3%83%b3%e5%91%a8%e6%b3%a2%e6%95%b0%e3%81%ae%e5%bc%8f-%e8%a7%a3%e8%aa%ac%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/"},"modified":"2024-05-17T15:06:54","modified_gmt":"2024-05-17T15:06:54","slug":"%e3%82%b5%e3%82%a4%e3%82%af%e3%83%ad%e3%83%88%e3%83%ad%e3%83%b3%e5%91%a8%e6%b3%a2%e6%95%b0%e3%81%ae%e5%bc%8f-%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\/%e3%82%b5%e3%82%a4%e3%82%af%e3%83%ad%e3%83%88%e3%83%ad%e3%83%b3%e5%91%a8%e6%b3%a2%e6%95%b0%e3%81%ae%e5%bc%8f-%e8%a7%a3%e8%aa%ac%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306e\u5f0f | \u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"<p class=\"sidekick\">\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306e\u8a08\u7b97\u5f0f\u3068\u305d\u306e\u89e3\u8aac\u3001\u96fb\u5b50\u306e\u5177\u4f53\u7684\u306a\u4f8b\u3092\u901a\u3058\u3066\u7406\u89e3\u3059\u308b\u65b9\u6cd5\u3092\u8a73\u3057\u304f\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h2>\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306e\u5f0f | \u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u306f\u3001\u96fb\u78c1\u77f3\u306e\u78c1\u5834\u3068\u9ad8\u5468\u6ce2\u96fb\u5727\u3092\u5229\u7528\u3057\u3066\u8377\u96fb\u7c92\u5b50\u3092\u52a0\u901f\u3059\u308b\u88c5\u7f6e\u3067\u3059\u3002\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306f\u3001\u3053\u306e\u88c5\u7f6e\u306e\u52d5\u4f5c\u539f\u7406\u306e\u7406\u89e3\u306b\u4e0d\u53ef\u6b20\u306a\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3067\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306e\u5f0f\u3001\u89e3\u8aac\u3001\u305d\u3057\u3066\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h2>\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u3068\u306f\uff1f<\/h2>\n<p>\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306f\u3001\u8377\u96fb\u7c92\u5b50\u304c\u4e00\u5b9a\u306e\u78c1\u5834\u5185\u3067\u5186\u904b\u52d5\u3092\u884c\u3046\u969b\u306e\u5468\u56de\u3059\u308b\u983b\u5ea6\u3092\u8868\u3057\u307e\u3059\u3002\u3053\u306e\u5468\u6ce2\u6570\u306f\u3001\u8377\u96fb\u7c92\u5b50\u306e\u8cea\u91cf\u3068\u96fb\u8377\u3001\u304a\u3088\u3073\u78c1\u5834\u306e\u5f37\u3055\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002<\/p>\n<h2>\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306e\u5f0f<\/h2>\n<p>\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570 <em>f_c<\/em> \u306e\u4e00\u822c\u7684\u306a\u5f0f\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\uff1a<\/p>\n<p>\\[ f_c = \\frac{qB}{2\\pi m} \\]<\/p>\n<ul>\n<li><em>f_c<\/em> = \u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570 (Hz)<\/li>\n<li><em>q<\/em> = \u7c92\u5b50\u306e\u96fb\u8377\u91cf (C)<\/li>\n<li><em>B<\/em> = \u78c1\u5834\u306e\u5f37\u3055 (T)<\/li>\n<li><em>m<\/em> = \u7c92\u5b50\u306e\u8cea\u91cf (kg)<\/li>\n<\/ul>\n<p>\u3053\u306e\u5f0f\u304c\u793a\u3059\u3088\u3046\u306b\u3001\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306f\u96fb\u5834\u3084\u78c1\u5834\u306e\u5f37\u3055\u3001\u304a\u3088\u3073\u8377\u96fb\u7c92\u5b50\u306e\u7279\u6027\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002<\/p>\n<h2>\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306e\u89e3\u8aac<\/h2>\n<p>\u78c1\u5834\u4e2d\u3067\u8377\u96fb\u7c92\u5b50\u304c\u5186\u904b\u52d5\u3092\u3059\u308b\u5834\u5408\u3001\u7c92\u5b50\u306b\u306f\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u304c\u50cd\u304d\u307e\u3059\u3002\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\\[ F = qvB \\]<\/p>\n<p>\u3053\u3053\u3067 <em>v<\/em> \u306f\u7c92\u5b50\u306e\u901f\u5ea6\u3067\u3059\u3002\u3053\u306e\u529b\u304c\u63d0\u4f9b\u3059\u308b\u5411\u5fc3\u529b\u306f\u5186\u904b\u52d5\u306e\u534a\u5f84 <em>r<\/em> \u306b\u5bfe\u3057\u3066\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a<\/p>\n<p>\\[ qvB = \\frac{mv^2}{r} \\]<\/p>\n<p>\u3053\u306e\u5f0f\u3092\u6574\u7406\u3059\u308b\u3068\uff1a<\/p>\n<p>\\[ r = \\frac{mv}{qB} \\]<\/p>\n<p>\u5186\u904b\u52d5\u306e\u5468\u671f <em>T<\/em> \u306f\u3001\u5186\u5468\u3092\u901f\u5ea6 <em>v<\/em> \u3067\u5272\u308b\u3053\u3068\u3067\u6c42\u3081\u3089\u308c\u307e\u3059\uff1a<\/p>\n<p>\\[ T = \\frac{2\\pi r}{v} \\]<\/p>\n<p>\u3053\u308c\u306b <em>r<\/em> \u306e\u5024\u3092\u4ee3\u5165\u3059\u308b\u3068\uff1a<\/p>\n<p>\\[ T = \\frac{2\\pi \\left(\\frac{mv}{qB}\\right)}{v} = \\frac{2\\pi m}{qB} \\]<\/p>\n<p>\u5468\u6ce2\u6570\u306f\u5468\u671f\u306e\u9006\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u6700\u7d42\u7684\u306b\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306f\uff1a<\/p>\n<p>\\[ f_c = \\frac{1}{T} = \\frac{qB}{2\\pi m} \\]<\/p>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306e\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u3067\u306f\u3001\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306e\u8a08\u7b97\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4f8b\u3048\u3070\u3001\u96fb\u5b50 (\u96fb\u8377\u91cf <em>q = -1.6 \\times 10^{-19} C<\/em>, \u8cea\u91cf <em>m = 9.11 \\times 10^{-31} kg<\/em>) \u3092 1 \u30c6\u30b9\u30e9 (T) \u306e\u78c1\u5834\u306b\u7f6e\u3044\u305f\u5834\u5408\uff1a<\/p>\n<ul>\n<li><em>q<\/em> = \\( -1.6 \\times 10^{-19} \\) C<\/li>\n<li><em>m<\/em> = \\( 9.11 \\times 10^{-31} \\) kg<\/li>\n<li><em>B<\/em> = 1 T<\/li>\n<\/ul>\n<p>\u4e0a\u8a18\u306e\u5f0f\u306b\u6570\u5024\u3092\u4ee3\u5165\u3059\u308b\u3068\uff1a<\/p>\n<p>\\[ f_c = \\frac{(1.6 \\times 10^{-19}) \\times 1}{2\\pi \\times (9.11 \\times 10^{-31})} \\]<\/p>\n<p>\u8a08\u7b97\u7d50\u679c\uff1a<\/p>\n<p>\\[ f_c \\approx 28.0 \\times 10^9 \\text{Hz} = 28 \\text{GHz} \\]<\/p>\n<p>\u3053\u306e\u7d50\u679c\u306f\u3001\u96fb\u5b50\u304c 1 \u30c6\u30b9\u30e9\u306e\u78c1\u5834\u5185\u3067\u304a\u3088\u305d 28 \u30ae\u30ac\u30d8\u30eb\u30c4 (GHz) \u306e\u5468\u6ce2\u6570\u3067\u5186\u904b\u52d5\u3059\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<h2>\u307e\u3068\u3081<\/h2>\n<p>\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306f\u3001\u8377\u96fb\u7c92\u5b50\u304c\u78c1\u5834\u5185\u3067\u5186\u904b\u52d5\u3092\u884c\u3046\u969b\u306e\u57fa\u672c\u7684\u306a\u7279\u6027\u3092\u8868\u3059\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3059\u3002\u3053\u306e\u5468\u6ce2\u6570\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u7c92\u5b50\u52a0\u901f\u5668\u3084\u305d\u306e\u4ed6\u306e\u96fb\u78c1\u73fe\u8c61\u306b\u5bfe\u3059\u308b\u6df1\u3044\u7406\u89e3\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4eca\u56de\u306e\u89e3\u8aac\u3068\u8a08\u7b97\u65b9\u6cd5\u3092\u901a\u3058\u3066\u3001\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306e\u57fa\u790e\u3092\u3057\u3063\u304b\u308a\u5b66\u3073\u3001\u3055\u3089\u306b\u8208\u5473\u3092\u6301\u3063\u3066\u9802\u3051\u308c\u3070\u5e78\u3044\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306e\u8a08\u7b97\u5f0f\u3068\u305d\u306e\u89e3\u8aac\u3001\u96fb\u5b50\u306e\u5177\u4f53\u7684\u306a\u4f8b\u3092\u901a\u3058\u3066\u7406\u89e3\u3059\u308b\u65b9\u6cd5\u3092\u8a73\u3057\u304f\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":[96],"tags":[97],"class_list":["post-209077","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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