{"id":214495,"date":"2024-09-07T08:32:06","date_gmt":"2024-09-07T08:32:06","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/?p=214495"},"modified":"2024-09-07T08:32:06","modified_gmt":"2024-09-07T08:32:06","slug":"%e7%a3%81%e5%a0%b4%e5%86%85%e3%81%ae%e8%8d%b7%e9%9b%bb%e7%b2%92%e5%ad%90%e3%81%ab%e5%83%8d%e3%81%8f%e7%a3%81%e5%8a%9b%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\/%e7%a3%81%e5%a0%b4%e5%86%85%e3%81%ae%e8%8d%b7%e9%9b%bb%e7%b2%92%e5%ad%90%e3%81%ab%e5%83%8d%e3%81%8f%e7%a3%81%e5%8a%9b%e3%81%ae%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u78c1\u5834\u5185\u306e\u8377\u96fb\u7c92\u5b50\u306b\u50cd\u304f\u78c1\u529b\u306e\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"<p class=\"sidekick\">\u78c1\u5834\u5185\u306e\u8377\u96fb\u7c92\u5b50\u306b\u50cd\u304f\u78c1\u529b\u306e\u8a08\u7b97\u65b9\u6cd5\uff1a\u30d5\u30ec\u30df\u30f3\u30b0\u306e\u5de6\u624b\u306e\u6cd5\u5247\u3068\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u3092\u6d3b\u7528\u3057\u3066\u3001\u57fa\u790e\u304b\u3089\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n<h2>\u78c1\u5834\u5185\u306e\u8377\u96fb\u7c92\u5b50\u306b\u50cd\u304f\u78c1\u529b\u306e\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u96fb\u78c1\u6c17\u5b66\u306b\u304a\u3044\u3066\u3001\u78c1\u5834\u5185\u306b\u7f6e\u304b\u308c\u305f\u8377\u96fb\u7c92\u5b50\u306f\u78c1\u529b\u3092\u53d7\u3051\u307e\u3059\u3002\u3053\u306e\u78c1\u529b\u306f\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\uff08Lorentz force\uff09\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u78c1\u5834\u5185\u306e\u8377\u96fb\u7c92\u5b50\u306b\u50cd\u304f\u78c1\u529b\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h3>\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u306e\u516c\u5f0f<\/h3>\n<p>\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\n\\[ \\mathbf{F} = q \\mathbf{v} \\times \\mathbf{B} \\]\n<\/p>\n<ul>\n<li><b>\\(\\mathbf{F}\\)<\/b>: \u30ed\u30fc\u30ec\u30f3\u30c4\u529b\uff08\u30cb\u30e5\u30fc\u30c8\u30f3\u3001N\uff09<\/li>\n<li><b>q<\/b>: \u8377\u96fb\u7c92\u5b50\u306e\u96fb\u8377\uff08\u30af\u30fc\u30ed\u30f3\u3001C\uff09<\/li>\n<li><b>\\(\\mathbf{v}\\)<\/b>: \u7c92\u5b50\u306e\u901f\u5ea6\uff08\u30e1\u30fc\u30c8\u30eb\u6bce\u79d2\u3001m\/s\uff09<\/li>\n<li><b>\\(\\mathbf{B}\\)<\/b>: \u78c1\u5834\u306e\u78c1\u675f\u5bc6\u5ea6\uff08\u30c6\u30b9\u30e9\u3001T\uff09<\/li>\n<\/ul>\n<p>\u3053\u3053\u3067\u3001\u300c\u00d7\u300d\u306f\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u3053\u306e\u529b\u306e\u5411\u304d\u306f\u7c92\u5b50\u306e\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3068\u78c1\u5834\u30d9\u30af\u30c8\u30eb\u306e\u4e21\u65b9\u306b\u5782\u76f4\u3067\u3059\u3002<\/p>\n<h3>\u78c1\u529b\u306e\u8a08\u7b97\u624b\u9806<\/h3>\n<ol>\n<li>\u8377\u96fb\u7c92\u5b50\u306e\u96fb\u8377<sub>q<\/sub>\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u96fb\u5b50\u306e\u96fb\u8377\u306f\u7d04 \\(-1.6 \\times 10^{-19}\\) \u30af\u30fc\u30ed\u30f3\u3067\u3059\u3002<\/li>\n<li>\u8377\u96fb\u7c92\u5b50\u306e\u901f\u5ea6<sub>\\(\\mathbf{v}\\)<\/sub>\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u306b\u306f\u3001\u901a\u5e38\u3001\\(x\\)\u3001\\(y\\)\u3001\\(z\\)\u306e3\u3064\u306e\u6210\u5206\u304c\u3042\u308a\u307e\u3059\u3002<\/li>\n<li>\u78c1\u5834<sub>\\(\\mathbf{B}\\)<\/sub>\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u78c1\u5834\u30d9\u30af\u30c8\u30eb\u3082\u540c\u69d8\u306b3\u3064\u306e\u6210\u5206\u304c\u3042\u308a\u307e\u3059\u3002<\/li>\n<li>\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3068\u78c1\u5834\u30d9\u30af\u30c8\u30eb\u306e\u5916\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u5916\u7a4d\u306e\u6210\u5206\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u6c42\u3081\u3089\u308c\u307e\u3059\uff1a\n<ul>\n<li>\\( (\\mathbf{v} \\times \\mathbf{B})_x = v_y B_z &#8211; v_z B_y \\)<\/li>\n<li>\\( (\\mathbf{v} \\times \\mathbf{B})_y = v_z B_x &#8211; v_x B_z \\)<\/li>\n<li>\\( (\\mathbf{v} \\times \\mathbf{B})_z = v_x B_y &#8211; v_y B_x \\)<\/li>\n<\/ul>\n<\/li>\n<li>\u4e0a\u8a18\u3067\u6c42\u3081\u305f\u5916\u7a4d\u6210\u5206\u306b\u96fb\u8377 \\(q\\) \u3092\u639b\u3051\u3066\u3001\u30ed\u30fc\u30ec\u30f3\u30c4\u529b<sub>\\(\\mathbf{F}\\)<\/sub>\u3092\u5f97\u307e\u3059\uff1a\n<ul>\n<li>\\( F_x = q (v_y B_z &#8211; v_z B_y) \\)<\/li>\n<li>\\\\( F_y = q (v_z B_x &#8211; v_x B_z) \\)<\/li>\n<li>\\\\( F_z = q (v_x B_y &#8211; v_y B_x) \\)<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h3>\u4f8b\u984c<\/h3>\n<p>1. \u8377\u96fb\u7c92\u5b50\u306e\u96fb\u8377 \\( q = 1.0 \\, \\text{C} \\)<\/p>\n<p>2. \u901f\u5ea6\u30d9\u30af\u30c8\u30eb \\( \\mathbf{v} = (2.0, 3.0, 4.0) \\, \\text{m\/s} \\)<\/p>\n<p>3. \u78c1\u5834\u30d9\u30af\u30c8\u30eb \\( \\mathbf{B} = (0.5, 0.6, 0.7) \\, \\text{T} \\)<\/p>\n<p>\u5916\u7a4d\u306e\u8a08\u7b97\uff1a<\/p>\n<ul>\n<li>\\( (\\mathbf{v} \\times \\mathbf{B})_x = (3.0 \\times 0.7) &#8211; (4.0 \\times 0.6) = 2.1 &#8211; 2.4 = -0.3 \\)<\/li>\n<li>\\( (\\mathbf{v} \\times \\mathbf{B})_y = (4.0 \\times 0.5) &#8211; (2.0 \\times 0.7) = 2.0 &#8211; 1.4 = 0.6 \\)<\/li>\n<li>\\( (\\mathbf{v} \\times \\mathbf{B})_z = (2.0 \\times 0.6) &#8211; (3.0 \\times 0.5) = 1.2 &#8211; 1.5 = -0.3 \\)<\/li>\n<\/ul>\n<p>\u6700\u7d42\u7684\u306a\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u306f\uff1a<\/p>\n<ul>\n<li>\\( F_x = 1.0 \\times (-0.3) = -0.3 \\, \\text{N} \\)<\/li>\n<li>\\( F_y = 1.0 \\times 0.6 = 0.6 \\, \\text{N} \\)<\/li>\n<li>\\( F_z = 1.0 \\times (-0.3) = -0.3 \\, \\text{N} \\)<\/li>\n<\/ul>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u306f \\( \\mathbf{F} = (-0.3, 0.6, -0.3) \\, \\text{N} \\) \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u307e\u3068\u3081<\/h3>\n<p>\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u78c1\u5834\u5185\u306e\u8377\u96fb\u7c92\u5b50\u306b\u50cd\u304f\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u57fa\u672c\u516c\u5f0f\u306b\u5f93\u3063\u3066\u3001\u7c92\u5b50\u306e\u96fb\u8377\u3001\u901f\u5ea6\u3001\u304a\u3088\u3073\u78c1\u5834\u306e\u30d9\u30af\u30c8\u30eb\u6210\u5206\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u78c1\u5834\u5185\u306e\u8377\u96fb\u7c92\u5b50\u306b\u50cd\u304f\u78c1\u529b\u306e\u8a08\u7b97\u65b9\u6cd5\uff1a\u30d5\u30ec\u30df\u30f3\u30b0\u306e\u5de6\u624b\u306e\u6cd5\u5247\u3068\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u3092\u6d3b\u7528\u3057\u3066\u3001\u57fa\u790e\u304b\u3089\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\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-214495","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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