{"id":214234,"date":"2024-10-03T08:55:04","date_gmt":"2024-10-03T08:55:04","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/?p=214234"},"modified":"2024-10-03T08:55:04","modified_gmt":"2024-10-03T08:55:04","slug":"rms%e9%9b%bb%e5%9c%a7%e3%81%a8%e9%9b%bb%e6%b5%81%e3%81%a8%e3%81%af%e4%bd%95%e3%81%8b%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/rms%e9%9b%bb%e5%9c%a7%e3%81%a8%e9%9b%bb%e6%b5%81%e3%81%a8%e3%81%af%e4%bd%95%e3%81%8b%ef%bc%9f\/","title":{"rendered":"RMS\u96fb\u5727\u3068\u96fb\u6d41\u3068\u306f\u4f55\u304b\uff1f"},"content":{"rendered":"<p class=\"sidekick\">RMS\u96fb\u5727\u3068\u96fb\u6d41\u306e\u57fa\u672c\u6982\u5ff5\u3092\u7c21\u5358\u306b\u89e3\u8aac\u3002\u4ea4\u6d41\u96fb\u306e\u52b9\u679c\u7684\u306a\u5024\u3092\u7406\u89e3\u3057\u3001\u5b9f\u969b\u306e\u96fb\u529b\u8a08\u7b97\u306b\u5f79\u7acb\u3064\u60c5\u5831\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p>\n<h2>RMS\u96fb\u5727\u3068\u96fb\u6d41\u3068\u306f\u4f55\u304b\uff1f<\/h2>\n<p>\u96fb\u6c17\u56de\u8def\u306b\u3064\u3044\u3066\u5b66\u3076\u3068\u304d\u306b\u3001RMS\u3068\u3044\u3046\u7528\u8a9e\u306b\u51fa\u4f1a\u3046\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u7528\u8a9e\u306f\u3001<i>Root Mean Square<\/i>\uff08\u4e8c\u4e57\u5e73\u5747\u5e73\u65b9\u6839\uff09\u3092\u6307\u3057\u3001\u4ea4\u6d41\u96fb\u5727\u3084\u96fb\u6d41\u306e\u7279\u6027\u3092\u7406\u89e3\u3059\u308b\u4e0a\u3067\u975e\u5e38\u306b\u91cd\u8981\u3067\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001RMS\u96fb\u5727\u3068\u96fb\u6d41\u3068\u306f\u4f55\u304b\u3001\u305d\u3057\u3066\u305d\u308c\u3089\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h2>RMS\u306e\u57fa\u672c\u6982\u5ff5<\/h2>\n<p>RMS\u306f\u3001\u6642\u9593\u3068\u3068\u3082\u306b\u5909\u5316\u3059\u308b\u96fb\u5727\u3084\u96fb\u6d41\u306e\u6709\u52b9\u5024\u3092\u793a\u3059\u65b9\u6cd5\u3067\u3059\u3002\u76f4\u6d41\uff08DC\uff09\u306e\u5834\u5408\u3001\u96fb\u5727\u3084\u96fb\u6d41\u306e\u5024\u306f\u4e00\u5b9a\u3067\u3059\u304c\u3001\u4ea4\u6d41\uff08AC\uff09\u306e\u5834\u5408\u3001\u3053\u308c\u3089\u306e\u5024\u306f\u6642\u9593\u3068\u3068\u3082\u306b\u5909\u52d5\u3057\u307e\u3059\u3002\u3053\u306e\u5909\u52d5\u3059\u308b\u5024\u3092\u4e00\u5b9a\u5024\u306b\u63db\u7b97\u3057\u3066\u5f97\u3089\u308c\u308b\u306e\u304cRMS\u5024\u3067\u3059\u3002<\/p>\n<h2>\u306a\u305cRMS\u5024\u304c\u91cd\u8981\u304b\uff1f<\/h2>\n<p>RMS\u5024\u306f\u3001\u4ea4\u6d41\u96fb\u5727\u3084\u96fb\u6d41\u304c\u540c\u3058\u91cf\u306e\u76f4\u6d41\u3068\u540c\u69d8\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u4f9b\u7d66\u3059\u308b\u80fd\u529b\u3092\u793a\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001RMS\u5024\u304c\u540c\u3058\u306a\u3089\u3001\u305d\u306e\u4ea4\u6d41\u96fb\u5727\u3084\u96fb\u6d41\u306f\u540c\u3058\u91cf\u306e\u4ed5\u4e8b\u3092\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u3042\u308bAC\u96fb\u5727\u306eRMS\u5024\u304c10V\u306a\u3089\u3001\u305d\u306eAC\u96fb\u5727\u3067\u4f9b\u7d66\u3055\u308c\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u300110V\u306eDC\u96fb\u5727\u3067\u4f9b\u7d66\u3055\u308c\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u540c\u7b49\u3067\u3059\u3002<\/p>\n<h2>RMS\u96fb\u5727\u3068\u96fb\u6d41\u306e\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<h3>\u9023\u7d9a\u3057\u305f\u4ea4\u6d41\u4fe1\u53f7\u306e\u5834\u5408<\/h3>\n<p>\u9023\u7d9a\u3057\u305f\u6ce2\u5f62\u306eRMS\u5024\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u96fb\u5727\u307e\u305f\u306f\u96fb\u6d41\u306e\u5024\u3092\u6642\u9593\u306e\u95a2\u6570\u3068\u3057\u3066\u8868\u8a18\u3059\u308b\u3068\u3001\u6b21\u306e\u516c\u5f0f\u304c\u9069\u7528\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p>\n\\[<br \/>\nV_{\\text{RMS}} = \\sqrt{\\frac{1}{T} \\int_0^T [V(t)]^2 dt}<br \/>\n\\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<i>V(t)<\/i>\u306f\u6642\u9593 <i>t<\/i> \u306b\u304a\u3051\u308b\u96fb\u5727\u3092\u8868\u3057\u3001<i>T<\/i> \u306f\u5468\u671f\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<h3>\u96e2\u6563\u30c7\u30fc\u30bf\u306e\u5834\u5408<\/h3>\n<p>\u6b21\u306b\u3001\u30c7\u30fc\u30bf\u304c\u96e2\u6563\u7684\u306a\u5834\u5408\u306eRMS\u8a08\u7b97\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<ol>\n<li>\u5404\u77ac\u9593\u306e\u5024\u3092\u4e8c\u4e57\u3057\u307e\u3059\u3002<\/li>\n<li>\u4e8c\u4e57\u3057\u305f\u5024\u306e\u5e73\u5747\u3092\u6c42\u3081\u307e\u3059\u3002<\/li>\n<li>\u305d\u306e\u5e73\u5747\u306e\u5e73\u65b9\u6839\u3092\u6c42\u3081\u307e\u3059\u3002<\/li>\n<\/ol>\n<p>\u6570\u5f0f\u3067\u8868\u3059\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p>\n\\[<br \/>\nV_{\\text{RMS}} = \\sqrt{\\frac{1}{N} \\sum_{i=1}^{N} [V_i]^2}<br \/>\n\\]\n<\/p>\n<p>\u3053\u3053\u3067\u3001<i>N<\/i>\u306f\u30c7\u30fc\u30bf\u30dd\u30a4\u30f3\u30c8\u306e\u7dcf\u6570\u3001<i>V_i<\/i>\u306f\u5404\u30c7\u30fc\u30bf\u30dd\u30a4\u30f3\u30c8\u306e\u5024\u3067\u3059\u3002<\/p>\n<h2>\u5b9f\u7528\u4f8b<\/h2>\n<p>\u5bb6\u5ead\u7528\u96fb\u6e90\u306eRMS\u96fb\u5727\u3092\u4f8b\u306b\u53d6\u308a\u307e\u3059\u3002\u4e00\u822c\u7684\u306b\u3001\u65e5\u672c\u306e\u5bb6\u5ead\u7528\u30b3\u30f3\u30bb\u30f3\u30c8\u306f100V(AC)\u3067\u3059\u3002\u3053\u308c\u306f\u5b9f\u969b\u306b\u306f100V\u306e\u5e73\u5747\u5024\u3067\u306f\u306a\u304f\u3001RMS\u5024\u3067\u3059\u3002\u5b9f\u969b\u306e\u96fb\u5727\u306f\u6642\u9593\u3068\u3068\u3082\u306b\u5909\u52d5\u3057\u3001\u305d\u306e\u6700\u5927\u5024\u306f\u7d04141V\u3067\u3059\u3002\u305d\u308c\u3067\u3082\u3001RMS\u5024100V\u306f\u3001\u3053\u306e\u4ea4\u6d41\u96fb\u5727\u304c100V\u306e\u76f4\u6d41\u96fb\u5727\u3068\u540c\u3058\u4ed5\u4e8b\u3092\u884c\u3046\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u6700\u5927\u5024\uff08\u30d4\u30fc\u30af\u5024\uff09 = 100V * \u221a2 \u2248 141V<\/li>\n<li>RMS\u5024 = 100V<\/li>\n<\/ul>\n<h2>\u307e\u3068\u3081<\/h2>\n<p>RMS\u96fb\u5727\u3068\u96fb\u6d41\u306f\u3001\u4ea4\u6d41\u306e\u6709\u52b9\u5024\u3092\u793a\u3059\u91cd\u8981\u306a\u6307\u6a19\u3067\u3059\u3002\u76f4\u6d41\u3068\u6bd4\u8f03\u3057\u3084\u3059\u304f\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u4f9b\u7d66\u306e\u80fd\u529b\u3092\u8a55\u4fa1\u3059\u308b\u969b\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u96fb\u6c17\u5de5\u5b66\u3092\u5b66\u3076\u4e0a\u3067\u3001\u3053\u306e\u6982\u5ff5\u3092\u3057\u3063\u304b\u308a\u7406\u89e3\u3059\u308b\u3053\u3068\u306f\u975e\u5e38\u306b\u91cd\u8981\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>RMS\u96fb\u5727\u3068\u96fb\u6d41\u306e\u57fa\u672c\u6982\u5ff5\u3092\u7c21\u5358\u306b\u89e3\u8aac\u3002\u4ea4\u6d41\u96fb\u306e\u52b9\u679c\u7684\u306a\u5024\u3092\u7406\u89e3\u3057\u3001\u5b9f\u969b\u306e\u96fb\u529b\u8a08\u7b97\u306b\u5f79\u7acb\u3064\u60c5\u5831\u3092\u63d0\u4f9b\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-214234","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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