{"id":209356,"date":"2024-03-21T14:07:33","date_gmt":"2024-03-21T14:07:33","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%e6%94%be%e5%b0%84%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/"},"modified":"2024-05-17T15:11:14","modified_gmt":"2024-05-17T15:11:14","slug":"%e3%82%b5%e3%82%a4%e3%82%af%e3%83%ad%e3%83%88%e3%83%ad%e3%83%b3%e6%94%be%e5%b0%84%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f-%e6%a6%82%e8%a6%81%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%e6%94%be%e5%b0%84%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u653e\u5c04\u306e\u65b9\u7a0b\u5f0f | \u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"

\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u653e\u5c04\u306f\u3001\u8377\u96fb\u7c92\u5b50\u304c\u5186\u904b\u52d5\u3059\u308b\u969b\u306b\u653e\u51fa\u3059\u308b\u96fb\u78c1\u6ce2\u3067\u3001\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u7269\u7406\u3084\u5929\u6587\u5b66\u3067\u91cd\u8981\u3002\u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5\u3092\u8a73\u8ff0\u3002<\/p>\n

\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u653e\u5c04\u306e\u65b9\u7a0b\u5f0f | \u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n

\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u653e\u5c04\uff08\u82f1\u8a9e\uff1aCyclotron Radiation\uff09\u306f\u3001\u8377\u96fb\u7c92\u5b50\u304c\u5186\u904b\u52d5\u3092\u3059\u308b\u969b\u306b\u653e\u51fa\u3059\u308b\u96fb\u78c1\u6ce2\u306e\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u306e\u73fe\u8c61\u306f\u3001\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u7269\u7406\u3084\u5929\u6587\u7269\u7406\u5b66\u3067\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3066\u3044\u307e\u3059\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u653e\u5c04\u306b\u3064\u3044\u3066\u305d\u306e\u57fa\u672c\u7684\u306a\u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n

\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u653e\u5c04\u306e\u6982\u8981<\/h2>\n

\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u653e\u5c04\u306f\u3001\u4e3b\u306b\u78c1\u5834\u5185\u3092\u9ad8\u901f\u3067\u904b\u52d5\u3059\u308b\u96fb\u5b50\u306a\u3069\u306e\u8377\u96fb\u7c92\u5b50\u306b\u3088\u3063\u3066\u5f15\u304d\u8d77\u3053\u3055\u308c\u307e\u3059\u3002\u8377\u96fb\u7c92\u5b50\u306f\u3001\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u306b\u3088\u3063\u3066\u5186\u5f62\u8ecc\u9053\u3092\u6301\u3064\u3088\u3046\u306b\u5f37\u5236\u3055\u308c\u3001\u305d\u306e\u7d50\u679c\u3001\u52a0\u901f\u5ea6\u904b\u52d5\u304c\u751f\u3058\u96fb\u78c1\u6ce2\u3092\u653e\u5c04\u3057\u307e\u3059\u3002\u3053\u306e\u73fe\u8c61\u306f\u3001\u7c92\u5b50\u52a0\u901f\u5668\uff08\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\uff09\u3084\u5b87\u5b99\u7a7a\u9593\u3067\u306e\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u30a4\u30d9\u30f3\u30c8\u306a\u3069\u3067\u89b3\u5bdf\u3055\u308c\u307e\u3059\u3002<\/p>\n

\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570<\/h2>\n

\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\uff08gyrofrequency\uff09\u306f\u3001\u8377\u96fb\u7c92\u5b50\u304c\u78c1\u5834\u5185\u3067\u4e00\u5468\u3059\u308b\u6642\u9593\u306b\u5bfe\u5fdc\u3059\u308b\u5468\u6ce2\u6570\u3067\u3059\u3002\u5468\u6ce2\u6570 \\( f_c \\) \u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n

\\[ f_c = \\frac{qB}{2\\pi m} \\]<\/p>\n

\u3053\u3053\u3067\u3001\\( q \\) \u306f\u8377\u96fb\u7c92\u5b50\u306e\u96fb\u8377\u3001\\( B \\) \u306f\u78c1\u5834\u306e\u5f37\u3055\u3001\\( m \\) \u306f\u8377\u96fb\u7c92\u5b50\u306e\u8cea\u91cf\u3067\u3059\u3002<\/p>\n

\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u653e\u5c04\u306e\u30a8\u30cd\u30eb\u30ae\u30fc<\/h2>\n

\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u653e\u5c04\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u3001\u305d\u306e\u653e\u5c04\u306e\u30b9\u30da\u30af\u30c8\u30eb\u7279\u6027\u3068\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002\u653e\u5c04\u3055\u308c\u308b\u30a8\u30cd\u30eb\u30ae\u30fc \\( P \\) \u306f\u3001\u6b21\u306e\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n

\\[ P = \\frac{q^2 a^2}{6\\pi \\epsilon_0 c^3} \\]<\/p>\n

\u3053\u3053\u3067\u3001\\( a \\) \u306f\u8377\u96fb\u7c92\u5b50\u306e\u52a0\u901f\u5ea6\u3001\\( \\epsilon_0 \\) \u306f\u771f\u7a7a\u306e\u8a98\u96fb\u7387\u3001\\( c \\) \u306f\u5149\u306e\u901f\u5ea6\u3067\u3059\u3002\u3053\u306e\u5f0f\u306f\u30e9\u30a4\u30c9\u30ca\u30fc-\u30ea\u30fc\u30de\u30f3\u516c\u5f0f\u306b\u57fa\u3065\u3044\u3066\u304a\u308a\u3001\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u7c92\u5b50\u306e\u653e\u5c04\u306b\u95a2\u3059\u308b\u4e00\u822c\u7684\u306a\u67a0\u7d44\u307f\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p>\n

\u8a08\u7b97\u4f8b<\/h2>\n

\u7279\u5b9a\u306e\u4f8b\u3092\u6319\u3052\u308b\u3068\u3001\u78c1\u5834 \\( B = 1 \\, \\text{T} \\) \u306e\u4e2d\u3092\u904b\u52d5\u3059\u308b\u96fb\u5b50\uff08\u96fb\u8377 \\( q = -1.6 \\times 10^{-19} \\, \\text{C} \\\uff09\u3001\u8cea\u91cf \\( m = 9.1 \\times 10^{-31} \\, \\text{kg} \\)\uff09\u306e\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u3068\u653e\u5c04\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n

\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570<\/h3>\n

\u96fb\u5b50\u306e\u5834\u5408\u3001\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n

\\[ f_c = \\frac{(1.6 \\times 10^{-19}) \\times 1}{2\\pi \\times 9.1 \\times 10^{-31}} = 2.8 \\times 10^{10} \\, \\text{Hz} \\]<\/p>\n

\u653e\u5c04\u30a8\u30cd\u30eb\u30ae\u30fc<\/h3>\n

\u52a0\u901f\u5ea6 \\( a \\) \u306f\u4ee5\u4e0b\u306e\u95a2\u4fc2\u5f0f\u304b\u3089\u6c42\u3081\u3089\u308c\u307e\u3059\uff1a<\/p>\n

\\[ a = \\frac{v^2}{r} \\]<\/p>\n

\u3053\u3053\u3067\u3001\u5186\u904b\u52d5\u306e\u534a\u5f84 \\( r \\) \u306f\u6b21\u306e\u3088\u3046\u306b\u6c42\u3081\u3089\u308c\u307e\u3059\uff1a<\/p>\n

\\[ r = \\frac{mv}{qB} \\]<\/p>\n

\u96fb\u5b50\u306e\u901f\u5ea6\u3092\u4eee\u306b \\( v = 3 \\times 10^7 \\, \\text{m\/s} \\) \u3068\u3059\u308b\u3068\u3001<\/p>\n

\\[ r = \\frac{(9.1 \\times 10^{-31}) \\times (3 \\times 10^7)}{(1.6 \\times 10^{-19}) \\times 1} = 1.7 \\times 10^{-3} \\, \\text{m} \\]<\/p>\n

\u3053\u308c\u306b\u3088\u308a\u3001\u52a0\u901f\u5ea6\u306f\uff1a<\/p>\n

\\[ a = \\frac{(3 \\times 10^7)^2}{1.7 \\times 10^{-3}} = 5.3 \\times 10^{16} \\, \\text{m\/s}^2 \\]<\/p>\n

\u653e\u5c04\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\uff1a<\/p>\n

\\[ P = \\frac{(1.6 \\times 10^{-19})^2 \\times (5.3 \\times 10^{16})^2}{6\\pi \\times 8.85 \\times 10^{-12} \\times (3 \\times 10^8)^3} = 3.6 \\times 10^{-23} \\, \\text{W} \\]<\/p>\n

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

\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u653e\u5c04\u306f\u3001\u8377\u96fb\u7c92\u5b50\u304c\u78c1\u5834\u5185\u3067\u5186\u904b\u52d5\u3092\u3059\u308b\u969b\u306b\u653e\u51fa\u3059\u308b\u96fb\u78c1\u6ce2\u3067\u3059\u3002\u30b5\u30a4\u30af\u30ed\u30c8\u30ed\u30f3\u5468\u6ce2\u6570\u3084\u653e\u5c04\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8a08\u7b97\u306f\u3001\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u7269\u7406\u3084\u5929\u4f53\u7269\u7406\u306e\u7814\u7a76\u306b\u304a\u3044\u3066\u91cd\u8981\u3067\u3059\u3002\u57fa\u790e\u7684\u306a\u65b9\u7a0b\u5f0f\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u7279\u5b9a\u306e\u72b6\u6cc1\u3067\u306e\u653e\u5c04\u7279\u6027\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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