{"id":2654,"date":"2022-03-28T09:59:18","date_gmt":"2022-03-28T00:59:18","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=2654"},"modified":"2022-03-28T10:03:57","modified_gmt":"2022-03-28T01:03:57","slug":"%e5%8f%82%e8%80%83%ef%bc%9a%e4%bb%95%e4%ba%8b%e3%81%a8%e3%83%9d%e3%83%86%e3%83%b3%e3%82%b7%e3%83%a3%e3%83%ab%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc%ef%bc%8c%e9%9d%99%e9%9b%bb%e3%83%9d%e3%83%86","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%9b%bb%e7%a3%81%e6%b0%97%e5%ad%a6-i\/%e6%99%82%e9%96%93%e5%a4%89%e5%8b%95%e3%81%97%e3%81%aa%e3%81%84%e9%9b%bb%e7%a3%81%e5%a0%b4%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e3%83%9e%e3%82%af%e3%82%b9%e3%82%a6%e3%82%a7%e3%83%ab%e6%96%b9%e7%a8%8b\/%e5%8f%82%e8%80%83%ef%bc%9a%e4%bb%95%e4%ba%8b%e3%81%a8%e3%83%9d%e3%83%86%e3%83%b3%e3%82%b7%e3%83%a3%e3%83%ab%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc%ef%bc%8c%e9%9d%99%e9%9b%bb%e3%83%9d%e3%83%86\/","title":{"rendered":"\u53c2\u8003\uff1a\u4ed5\u4e8b\u3068\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\uff0c\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u610f\u5473"},"content":{"rendered":"

<\/p>\n

\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u304c\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\uff08\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3067\u3042\u308b\u3053\u3068\u306e\u8aac\u660e\u3002<\/p>\n

1\u6b21\u5143\u30d0\u30cd\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc<\/h3>\n

\u307e\u305a\u306f\u7c21\u5358\u306a\u529b\u5b66\u306e\u4f8b\u3067\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8aac\u660e\u3059\u308b\u3002<\/p>\n

1\u6b21\u5143\u306e\u30d0\u30cd\u304c\u5e73\u8861\u306e\u4f4d\u7f6e\u304b\u3089 \\(x\\) \u3060\u3051\u5909\u4f4d\u3059\u308b\u3068\uff0c\u5909\u4f4d\u306b\u6bd4\u4f8b\u3057\u305f\u5fa9\u5143\u529b\u304c\u306f\u305f\u3089\u304f\u3002\u30d5\u30c3\u30af\u306e\u6cd5\u5247\u3068\u547c\u3070\u308c\u308b\u3053\u306e\u6027\u8cea\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u66f8\u3051\u308b\u3002
\n$$F = – k x $$
\n\u3053\u3053\u3067 \\(k\\) \u306f\u30d0\u30cd\u5b9a\u6570\u3068\u547c\u3070\u308c\u308b\u6bd4\u4f8b\u5b9a\u6570\u3002<\/p>\n

\u3053\u306e\u30d0\u30cd\u306e\u5fa9\u5143\u529b\u306b\u9006\u3089\u3063\u3066\uff0c\\(x = 0\\) \u304b\u3089 \\(x\\) \u307e\u3067\u4f38\u3070\u3059\u306e\u306b\u5fc5\u8981\u306a\u4ed5\u4e8b\uff08\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\\(W\\) \u306f
\n$$ W = \\int_0^x (-F) \\,dx = \\int_0^x k x \\,dx = \\frac{1}{2} k x^2$$
\n\u3053\u308c\u3060\u3051\u306e\u4ed5\u4e8b\u3092\u3057\u305f\uff0c\u3064\u307e\u308a\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u4e0e\u3048\u305f\u306e\u3067\u3042\u308b\u304b\u3089\uff0c\u5909\u4f4d \\(x\\) \u3060\u3051\u4f38\u3073\u305f\u30d0\u30cd\u306f \\( \\frac{1}{2} k x^2 \\) \u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff08\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3092\u6301\u3064\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n

\u9759\u96fb\u5834\u306e\u5834\u5408\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc<\/h3>\n

\u9759\u96fb\u5834\u306e\u5834\u5408\u3082\u540c\u69d8\u3002<\/p>\n

\u9759\u96fb\u5834\u4e2d\u306b\u96fb\u8377 \\(q\\) \u3092\u7f6e\u304f\u3068\uff0c\\( \\boldsymbol{F} = q \\boldsymbol{E}\\) \u306e\u529b\u304c\u306f\u305f\u3089\u304f\u3002\u3053\u306e\u529b\u306b\u9006\u3089\u3063\u3066\uff0c\u70b9\u96fb\u8377\u3092 \\(\\boldsymbol{r}_1\\) \u304b\u3089 \\(\\boldsymbol{r}_2 \\) \u307e\u3067\u52d5\u304b\u3059\u306e\u306b\u5fc5\u8981\u306a\u4ed5\u4e8b\uff08\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\\(W\\) \u306f
\n$$W = \\int_{\\boldsymbol{r}_1}^{\\boldsymbol{r}_2} (- \\boldsymbol{F})\\cdot d\\boldsymbol{r} = q \\int_{\\boldsymbol{r}_1}^{\\boldsymbol{r}_2} \\nabla\\phi \\cdot d\\boldsymbol{r} = q \\left( \\phi(\\boldsymbol{r}_2) – \\phi(\\boldsymbol{r}_1) \\right)$$
\n\uff08\u52fe\u914d\u306e\u7dda\u7a4d\u5206\u306b\u3064\u3044\u3066\u306f\u300c\u30d9\u30af\u30c8\u30eb\u5834\u306e\u7a4d\u5206<\/a>\u300d\u306e\u30da\u30fc\u30b8\u3092\u53c2\u7167\u3002\uff09<\/p>\n

\u3053\u308c\u3060\u3051\u306e\u4ed5\u4e8b\u3092\u3057\u305f\uff0c\u3064\u307e\u308a\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u4e0e\u3048\u305f\u306e\u3067\u3042\u308b\u304b\u3089\uff0c\u96fb\u8377\u306f\u305d\u308c\u3060\u3051\u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff08\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u304c\u5897\u3048\u305f\u3053\u3068\u306b\u306a\u308b\u3002\u3064\u307e\u308a\uff0c\\(\\boldsymbol{r} = \\boldsymbol{r}_1\\) \u3067 \\(U_1 = q \\phi(\\boldsymbol{r}_1) \\) \u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff08\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3060\u3063\u305f\u306e\u304c\uff0c\\(\\boldsymbol{r} = \\boldsymbol{r}_2\\) \u3067\u306f \\(U_2 = U_1 + W =\u00a0 q \\phi(\\boldsymbol{r}_2) \\) \u306b\u306a\u308b\u3068\u3044\u3046\u3053\u3068\u3002<\/p>\n

\u5f93\u3063\u3066\uff0c\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb \\(\\phi\\) \u306f\uff0c\u9759\u96fb\u5834\u4e2d\u306e\u5358\u4f4d\u96fb\u8377\u3042\u305f\u308a\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8868\u3059\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n

\u3053\u306e\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb \\(\\phi\\) \u306e\u5358\u4f4d\u304c \\(\\mbox{V}\\)\uff08\u30dc\u30eb\u30c8\uff09\u3067\u3042\u308b\u3002\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306f\u307e\u305f\u300c\u96fb\u4f4d\u300d\u3068\u3082\u547c\u3070\u308c\u308b\u3002\u3057\u305f\u304c\u3063\u3066\uff0c2\u70b9\u9593\u306e\u96fb\u4f4d\u306e\u5dee\u306f\u300c\u96fb\u4f4d\u5dee\u300d\u3068\u547c\u3073\uff0c\u696d\u754c\u306b\u3088\u3063\u3066\u306f\u96fb\u4f4d\u5dee\u306e\u3053\u3068\u3092\u300c\u96fb\u5727\u300d\u3068\u547c\u3076\u3002<\/p>\n

\u3088\u3046\u3084\u304f\u65e5\u5e38\u751f\u6d3b\u3067\u3088\u304f\u4f7f\u308f\u308c\u308b\u96fb\u6c17\u306e\u5358\u4f4d\u3067\u3042\u308b\u300c\u96fb\u6d41\u300d\u306e \\(\\mbox{A}\\)\uff08\u30a2\u30f3\u30da\u30a2\uff09\u3068\u300c\u96fb\u5727\u300d\u306e\\(\\mbox{V}\\)\uff08\u30dc\u30eb\u30c8\uff09\u304c\u51fa\u305d\u308d\u3063\u305f\u3002<\/p>\n

\u30dc\u30eb\u30c8\u30fb\u30a2\u30f3\u30da\u30a2\u30fb\u30ef\u30c3\u30c8<\/h3>\n

\u3082\u3046\u5c11\u3057\u5358\u4f4d\u306e\u8a71\u3092\u7d9a\u3051\u308b\u3068\uff0c\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306f\u5358\u4f4d\u96fb\u8377\u3042\u305f\u308a\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3067\u3042\u308b\u304b\u3089\uff0c\u9759\u96fb\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\uff08\u30dc\u30eb\u30c8\uff09\u306b\u96fb\u8377\uff08\u30af\u30fc\u30ed\u30f3\uff09\u3092\u304b\u3051\u308b\u3068\uff0c\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5358\u4f4d \\(\\mbox{J}\\)\uff08\u30b8\u30e5\u30fc\u30eb\uff09\u306b\u306a\u308b\u3002<\/p>\n

$$\\mbox{J} = \\mbox{C} \\cdot \\mbox{V}$$<\/p>\n

\u96fb\u6d41 \\(\\mbox{A}\\)\uff08\u30a2\u30f3\u30da\u30a2\uff09\u306f\u5358\u4f4d\u6642\u9593\u3042\u305f\u308a\u306e\u96fb\u8377\u306e\u6d41\u308c\u3067\u3042\u3063\u305f\u304b\u3089\uff0c<\/p>\n

$$\\mbox{A} = \\frac{\\mbox{C}}{\\mbox{s}}, \\quad\\therefore\\ \\ \\mbox{C} = \\mbox{A}\\cdot\\mbox{s}$$<\/p>\n

\u3057\u305f\u304c\u3063\u3066\uff0c<\/p>\n

$$\\mbox{J} = \\mbox{C} \\cdot \\mbox{V} = \\mbox{A}\\cdot\\mbox{s}\\cdot \\mbox{V}$$<\/p>\n

\u4e21\u8fba\u3092 \\(\\mbox{s}\\) \u3067\u5272\u3063\u3066\uff0c<\/p>\n

$$\\frac{\\mbox{J}}{s} = \\mbox{A}\\cdot\\mbox{V}$$<\/p>\n

\u5358\u4f4d\u6642\u9593\u3042\u305f\u308a\u306e\u4ed5\u4e8b\u3064\u307e\u308a\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u4f7f\u7528\u7387\u3092\u4ed5\u4e8b\u7387\u3068\u3044\u3044\uff0c\u5358\u4f4d\u306f \\(\\mbox{W}\\)\uff08\u30ef\u30c3\u30c8\uff09\u3067\u3042\u3063\u305f\u304b\u3089\uff0c\u6700\u7d42\u7684\u306b<\/p>\n

$$\\frac{\\mbox{J}}{s} = \\mbox{W} = \\mbox{V}\\cdot\\mbox{A}$$<\/p>\n

\u96fb\u5727 \\(\\mbox{V}\\)\uff08\u30dc\u30eb\u30c8\uff09\u304b\u3051\u308b\u96fb\u6d41 \\(\\mbox{A}\\)\uff08\u30a2\u30f3\u30da\u30a2\uff09\u304c \\(\\mbox{W}\\)\uff08\u30ef\u30c3\u30c8\uff09\u306b\u306a\u308b\u3002<\/p>\n

\u7686\u3055\u3093\u306f\u3053\u3053\u3067\u96fb\u78c1\u6c17\u5b66\u306e\u5358\u4f4d\u304c\u529b\u5b66\u306e\u5358\u4f4d\u3068\u95a2\u4fc2\u3065\u3051\u3089\u308c\u308b\u77ac\u9593\uff01\u3092\u76ee\u6483\u3057\u305f\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"parent":2642,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-2654","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2654","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=2654"}],"version-history":[{"count":3,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2654\/revisions"}],"predecessor-version":[{"id":2657,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2654\/revisions\/2657"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2642"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=2654"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}