{"id":6817,"date":"2025-03-24T17:36:14","date_gmt":"2025-03-24T08:36:14","guid":{"rendered":"https:\/\/torisetudy.com\/?p=6817"},"modified":"2025-03-24T18:02:56","modified_gmt":"2025-03-24T09:02:56","slug":"6817","status":"publish","type":"post","link":"https:\/\/torisetudy.com\/?p=6817","title":{"rendered":"\u70b9\u96fb\u8377\u3068\u96fb\u4f4d\u2460"},"content":{"rendered":"\n<div id=\"toc_container\" class=\"no_bullets\"><p class=\"toc_title\">\u76ee\u6b21<\/p><ul class=\"toc_list\"><li><a href=\"#i\"><span class=\"toc_number toc_depth_1\">1<\/span> \u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u4f4d<\/a><\/li><li><a href=\"#i-2\"><span class=\"toc_number toc_depth_1\">2<\/span> \u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u4f4d\u306e\u5c0e\u51fa<\/a><\/li><\/ul><\/div>\n<h2 class=\"wp-block-heading\"><span id=\"i\">\u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u4f4d<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u70b9\u96fb\u8377\u3092\u7528\u3044\u3066<\/h3>\n\n\n\n<p>\u70b9\u96fb\u8377 $Q$ \u306e\u5468\u308a\u306e\u96fb\u4f4d\u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3059\u3002\u3053\u306e\u96fb\u8377\u304b\u3089 $r$ \u3060\u3051\u96e2\u308c\u305f\u4f4d\u7f6e\u306e\u96fb\u4f4d\u306f\uff0c<br>$$V=k\\bun{Q}{r}$$\u3068\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"169\" height=\"86\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u74061513-1.svg\" alt=\"\u7269\u74061513\" class=\"wp-image-7223\"\/><noscript><img decoding=\"async\" width=\"169\" height=\"86\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u74061513-1.svg\" alt=\"\u7269\u74061513\" class=\"wp-image-7223\"\/><\/noscript><\/figure>\n\n\n\n<p>\u57fa\u6e96\uff08\u96fb\u4f4d\u304c $0$ \u3068\u306a\u308b\u4f4d\u7f6e\uff09\u306f\u7121\u9650\u9060\u65b9\u306b\u53d6\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u307e\u305a\u306f\u3053\u306e\u5f0f\u3092\u78ba\u5b9f\u306b\u899a\u3048\u3066\u304f\u3060\u3055\u3044\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p>\u96fb\u5834\u306e\u5f0f\u3068\u6df7\u3056\u308a\u3084\u3059\u3044\u3067\u3059\u304c\uff0c\u5411\u304d\u3092\u6301\u305f\u306a\u3044\u30b9\u30ab\u30e9\u30fc\u91cf\u3067\uff0c\u5206\u6bcd\u306f $r^2$ \u3067\u306f\u306a\u304f $r$ \u3067\u3059\uff01<\/p>\n\n\n\n    <div class=\"wp-block-st-blocks-point-box st-point-box has-title post-hashiro-point\" style=\"\n        background-color:#fff; \n        border: 2px solid #ff7f50; \n        padding: 0px 18px; \n        border-radius: 4pt; \n        position: relative;\">\n        \n        <p class=\"st-mybox-title\" style=\"\n            position: absolute; \n            top: -12px; \n            left: 12px; \n            background-color: #fff; \n            padding: 0 10px; \n            color: #ff7f50; \n            font-weight: bold; \n            font-size: 15px; \n            line-height: 1.5; \n            text-decoration: none;\n            margin-bottom: 20px; \n            display: flex; \n            align-items: center; \n            gap: 5px;\">\n            <i class=\"st-fa st-svg-lightbulb-o st-css-no\" aria-hidden=\"true\"><\/i> \u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u4f4d\n        <\/p>\n\n        <div class=\"st-in-point-box\" style=\"\n            margin-top: 0px; \n            margin-bottom: 0px;\n            padding-top: 0px;\n            padding-bottom: 30px;\">\n            <p style=\"margin-bottom: -10px !important;\">\u70b9\u96fb\u8377 $Q$ \u304b\u3089 $r$ \u3060\u3051\u96e2\u308c\u305f\u4f4d\u7f6e\u306b\u304a\u3051\u308b\u96fb\u4f4d $V$ \u306f\uff0c<\/p><p style=\"margin-bottom: -10px !important;\">$$V=k\\bun{Q}{r}$$<\/p>\n        <\/div>\n    <\/div>\n\n\n\n<p>$Q&lt;0$ \u306e\u5834\u5408\u3082\u3053\u306e\u5f0f\u3067ok\u3067\u3059\u3002\u96fb\u4f4d\u306b\u5411\u304d\u306f\u3042\u308a\u307e\u305b\u3093\u304c\uff0c\u6b63\u8ca0\u306e\u7b26\u53f7\u306f\u3042\u308b\u306e\u3067\u6c17\u3092\u3064\u3051\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u96fb\u4f4d\u306e\u30b0\u30e9\u30d5<\/h3>\n\n\n\n<p>\u539f\u70b9\u306b\u96fb\u8377 $Q$ \u304c\u304a\u304b\u308c\u3066\u3044\u308b\u72b6\u6cc1\u3067\uff0c$x$ \u8ef8\u4e0a\u306e\u96fb\u4f4d\u3092\u8868\u3059\u30b0\u30e9\u30d5\u306f\u3069\u3046\u306a\u308b\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n\n\n\n<p>$r$ \u306f\u539f\u70b9\u304b\u3089\u306e\u8ddd\u96e2\u3067\u3042\u308a\uff0c$|x|$ \u306b\u7b49\u3057\u3044\u3053\u3068\u3092\u8e0f\u307e\u3048\u308b\u3068\uff0c$V=k\\bun{Q}{|x|}$ \u306e\u30b0\u30e9\u30d5\u306e\u6982\u5f62\u306f\u56f3\u306e\u901a\u308a\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"208\" height=\"135\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406832.svg\" alt=\"\u7269\u7406832\" class=\"wp-image-6514\"\/><noscript><img decoding=\"async\" width=\"208\" height=\"135\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406832.svg\" alt=\"\u7269\u7406832\" class=\"wp-image-6514\"\/><\/noscript><\/figure>\n\n\n\n<p>\u3053\u306e\u30b0\u30e9\u30d5\u306f\uff0c\u5468\u56f2\u306b\u6b63\u306e\u96fb\u8377\u3092\u304a\u3044\u305f\u969b\u306b\u53d7\u3051\u308b\u529b\u3092\u8003\u3048\u308b\u969b\uff0c\u5742\u9053\u3068\u3057\u3066\u3082\u5229\u7528\u3067\u304d\u308b\u306e\u3067\u5f62\u3092\u3057\u3063\u304b\u308a\u3068\u899a\u3048\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4e07\u6709\u5f15\u529b\u3068\u306e\u95a2\u9023<\/h3>\n\n\n\n<p>\u3068\u3053\u308d\u3067\uff0c\u96fb\u4f4d\u306e\u57fa\u6e96\u306f\u7121\u9650\u9060\u65b9\u306b\u53d6\u3063\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u3063\u3066\uff0c\u4e07\u6709\u5f15\u529b\u306e\u8003\u3048\u65b9\u3068\u4f3c\u3066\u3044\u308b\u3068\u601d\u3044\u307e\u305b\u3093\u304b\uff1f<\/p>\n\n\n\n<p>\u70b9\u96fb\u8377\u306e\u53d7\u3051\u308b\u30af\u30fc\u30ed\u30f3\u529b\u3068\u4e07\u6709\u5f15\u529b\u306b\u5927\u304d\u306a\u985e\u4f3c\u6027\u304c\u3042\u3063\u305f\u3088\u3046\u306b\uff0c\u4e07\u6709\u5f15\u529b\u3068\u96fb\u4f4d\u306b\u3082\u5927\u304d\u306a\u985e\u4f3c\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"312\" height=\"110\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406831.svg\" alt=\"\u7269\u7406831\" class=\"wp-image-6513\"\/><noscript><img decoding=\"async\" width=\"312\" height=\"110\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406831.svg\" alt=\"\u7269\u7406831\" class=\"wp-image-6513\"\/><\/noscript><\/figure>\n\n\n\n<p>\u56f3\u306e\u3088\u3046\u306b\uff0c\u8cea\u91cf\u304c $M$ \u306e\u7269\u4f53\u3068 $+1$ \u306e\u7269\u4f53\u304c\u304a\u304b\u308c\u3066\u3044\u308b\u3068\u304d\uff0c$+1$ \u306e\u8cea\u91cf\u306e\u7269\u4f53\u304c\u6301\u3064\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\uff0c<br>$$U_{\\rmG}=-G\\bun{M\\cdot1}{r}=-G\\bun{M}{r}$$\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u9759\u96fb\u6c17\u529b\u306b\u3064\u3044\u3066\uff0c\u300c$+1$ \u306e\u96fb\u8377\u304c\u6301\u3064\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff08\u3064\u307e\u308a\u96fb\u4f4d\uff01\uff09\u306f\uff1f\u300d\u3068\u554f\u308f\u308c\u305f\u3089\uff0c\u529b\u306e\u5411\u304d\u304c\u53cd\u5bfe\u306a\u306e\u3067\u7b26\u53f7\u3082\u53cd\u5bfe\u3068\u306a\u308b\u3053\u3068\u306b\u6ce8\u610f\u3059\u308c\u3070\uff0c<br>$$V=k\\bun{Q}{r}$$\u3067\u3042\u308b\u3053\u3068\u304c\u30b9\u30e0\u30fc\u30ba\u306b\u985e\u63a8\u3067\u304d\u308b\u306e\u3067\u306f\u306a\u3044\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-2\">\u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u4f4d\u306e\u5c0e\u51fa<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u4e38\u6697\u8a18\u306b\u306a\u3089\u306a\u3044\u305f\u3081\u306b<\/h3>\n\n\n\n<p>\u70b9\u96fb\u8377\u306e\u307e\u308f\u308a\u306e\u96fb\u4f4d\u306e\u5f0f\u3092\u5c0e\u51fa\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u305d\u306e\u305f\u3081\u306b\u306f\u307e\u305a\uff0c\u96fb\u5834\u304b\u3089\u8003\u3048\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u56f3\u306e\u3088\u3046\u306b\uff0c\u539f\u70b9\u306b $+Q$ \u306e\u96fb\u8377\u304c\u304a\u304b\u308c\u3066\u3044\u308b\u3082\u306e\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"143\" height=\"74\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406830.svg\" alt=\"\u7269\u7406830\" class=\"wp-image-6512\"\/><noscript><img decoding=\"async\" width=\"143\" height=\"74\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/\u7269\u7406830.svg\" alt=\"\u7269\u7406830\" class=\"wp-image-6512\"\/><\/noscript><\/figure>\n\n\n\n<p>\u4f4d\u7f6e $x (>0)$ \u306b\u304a\u3051\u308b\u96fb\u5834\u306f\uff0c\u305d\u306e\u4f4d\u7f6e\u306e\u5358\u4f4d\u96fb\u8377\u304c\u53d7\u3051\u308b\u529b\u306b\u7b49\u3057\u3044\u306e\u3067\uff0c\u30af\u30fc\u30ed\u30f3\u306e\u6cd5\u5247\u304b\u3089\uff0c<br>$$E=k\\bun{Q}{x^2}$$\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u96fb\u4f4d\u306e\u5c0e\u51fa<\/h3>\n\n\n\n<p>\u96fb\u5834\u304c\u6c42\u307e\u308a\u307e\u3057\u305f\u306e\u3067\uff0c\u3053\u308c\u3092\u5229\u7528\u3059\u308b\u3068\u96fb\u4f4d\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$\\varDelta V=-\\displaystyle\\int_{x_0}^{x_1}E\\dx$ \u306e\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n<p>$$\\begin{aligned}\\varDelta V&amp;=-\\int_{x_0}^{x_1}k\\bun{Q}{x^2}\\dx\\\\&amp;=-\\left[-k\\bun{Q}{x}\\right]_{x_0}^{x_1}\\\\&amp;=k\\bun{Q}{x_1}-k\\bun{Q}{x_0}\\end{aligned}$$<\/p>\n\n\n\n<p>\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u4e07\u6709\u5f15\u529b\u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u3064\u3044\u3066\u8003\u3048\u308b\u969b\u3068\u540c\u69d8\u306b\uff0c\u7121\u9650\u9060\u65b9\uff08$x_0\\to\\infty$\uff09\u3092\u57fa\u6e96\u306b\u53d6\u308c\u3070\uff0c\u4f4d\u7f6e $x_1$ \u306e\u96fb\u4f4d\u304c<br>$$V=k\\bun{Q}{x_1}$$\u3068\u3057\u3066\u6c42\u307e\u308a\u307e\u3059\u3002$x_1$ \u3092 $x$ \u306b\u66f8\u304d\u63db\u3048\u308b\u3053\u3068\u3067\uff0c<br>$$V=k\\bun{Q}{x}$$\u3068\u3057\u3066\u4f4d\u7f6e $x$ \u306e\u96fb\u4f4d\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">$x&lt;0$ \u306e\u5834\u5408<\/h3>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>$x&lt;0$ \u306e\u5834\u5408\u306f\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p>\u5411\u304d\u306b\u6ce8\u610f\u3059\u308b\u3068\uff0c\u96fb\u5834\u304c $E=-k\\bun{Q}{x^2}$ \u3068\u8868\u8a18\u3055\u308c\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u7b26\u53f7\u304c\u9006\u306a\u306e\u3067\uff0c\u96fb\u4f4d $V$ \u3082\uff0c $$V=-k\\bun{Q}{x}$$ \u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3088\u3063\u3066\uff0c$x>0$ \u306e\u5834\u5408\u3068 $x&lt;0$ \u306e\u5834\u5408\u3092\u307e\u3068\u3081\u3066\u8868\u8a18\u3059\u308b\u3068\uff0c<br>$$V=k\\bun{Q}{|x|}$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>$|x|$ \u306f\u300c\u539f\u70b9\u304b\u3089\u306e\u8ddd\u96e2\u300d\u3067\u3059\u306e\u3067\uff0c$r=|x|$ \u3068\u3059\u308c\u3070\uff0c<br>$$V=k\\bun{Q}{r}$$\u3068\u3044\u3046\u8868\u73fe\u306b\u306a\u308a\u307e\u3059\u306d\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u76ee\u6b211 \u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u4f4d2 \u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u4f4d\u306e\u5c0e\u51fa \u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u4f4d \u70b9\u96fb\u8377\u3092\u7528\u3044\u3066 \u70b9\u96fb\u8377 $Q$ \u306e\u5468\u308a\u306e\u96fb\u4f4d\u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3059\u3002\u3053\u306e\u96fb\u8377\u304b\u3089 $r$ \u3060\u3051\u96e2\u308c\u305f\u4f4d\u7f6e\u306e\u96fb\u4f4d\u306f\uff0c$$V=k\\bun{Q &#8230; <\/p>\n","protected":false},"author":1,"featured_media":6736,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[39,23],"tags":[],"class_list":["post-6817","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-39","category-electromagnetics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/6817"}],"collection":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6817"}],"version-history":[{"count":14,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/6817\/revisions"}],"predecessor-version":[{"id":6834,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/6817\/revisions\/6834"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/media\/6736"}],"wp:attachment":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6817"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6817"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}