{"id":2761,"date":"2022-03-29T17:47:19","date_gmt":"2022-03-29T08:47:19","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=2761"},"modified":"2024-01-22T12:17:00","modified_gmt":"2024-01-22T03:17:00","slug":"%e9%9b%bb%e7%a3%81%e8%aa%98%e5%b0%8e","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\/%e9%9b%bb%e7%a3%81%e8%aa%98%e5%b0%8e\/","title":{"rendered":"\u96fb\u78c1\u8a98\u5c0e"},"content":{"rendered":"<p><!--more--><\/p>\n<p dir=\"ltr\">\u6642\u9593\u5909\u52d5\u304c\u3042\u308b\u5834\u5408\u306f\uff0c\u4ee5\u4e0b\u306e\u5f0f\u306e\u3088\u3046\u306b\u96fb\u5834\u3068\u78c1\u5834\u304c\u304b\u3089\u307f\u3042\u3063\u3066\u304f\u308b\u3002<\/p>\n<p dir=\"ltr\">$$\\nabla\\times\\boldsymbol{E} + \\frac{\\partial \\boldsymbol{B}}{\\partial t} = \\boldsymbol{0}$$<\/p>\n<p dir=\"ltr\">\u78c1\u5834 \\(\\boldsymbol{B}\\) \u306e\u9805\u3092\u79fb\u9805\u3057\uff0c\u4e21\u8fba\u3092\uff0c\u9589\u66f2\u7dda \\(C\\) \u3067\u56f2\u307e\u308c\u305f\u9762\u7a4d \\(S\\) \u306b\u5782\u76f4\u306a\u6210\u5206\u306b\u3064\u3044\u3066\u9762\u7a4d\u7a4d\u5206\u3059\u308b\u3068\uff0c<br \/>\n$$\\iint_S \\left(\\nabla\\times\\boldsymbol{E}\\right)\\cdot\\boldsymbol{n}\\,dS =<br \/>\n-\\iint_S \\frac{\\partial \\boldsymbol{B}}{\\partial t}\\cdot\\boldsymbol{n}\\,dS$$<\/p>\n<p dir=\"ltr\">\u5de6\u8fba\u306f\u30b9\u30c8\u30fc\u30af\u30b9\u306e\u5b9a\u7406\u306b\u3088\u308a<br \/>\n$$\\iint_S \\left(\\nabla\\times\\boldsymbol{E}\\right)\\cdot\\boldsymbol{n}\\,dS =<br \/>\n\\oint_C \\boldsymbol{E}\\cdot d\\boldsymbol{r}$$<\/p>\n<p dir=\"ltr\">\u3068\u306a\u308a\uff0c\u3053\u306e\u91cf\u306f\u5358\u4f4d\u96fb\u8377\u306b\u306f\u305f\u3089\u304f\u529b \\(\\boldsymbol{E}\\) \u306e\u9589\u66f2\u7dda \\(C\\) \u306b\u305d\u3063\u305f1\u5468\u7a4d\u5206\u3067\u3042\u308b\u3053\u3068\u304b\u3089\uff0c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u8a98\u5c0e\u8d77\u96fb\u529b<\/strong><\/span>\u3068\u547c\u3070\u308c\u308b\u3002<\/p>\n<p dir=\"ltr\">\u53f3\u8fba\u306f\uff08\u9589\u66f2\u7dda $C$ \u3067\u56f2\u307e\u308c\u305f\u9762\u7a4d $S$ \u304c\u6642\u9593\u7684\u306b\u5909\u5316\u3057\u306a\u3044\uff0c\u5927\u304d\u3055\u3082\u5f62\u3082\u5411\u304d\u3082\u5909\u5316\u3057\u306a\u3044\u3068\u3059\u308b\u3068\uff09<br \/>\n$$-\\iint_S \\frac{\\partial \\boldsymbol{B}}{\\partial t}\\cdot\\boldsymbol{n}\\,dS =<br \/>\n-\\frac{d}{dt} \\iint_S \\boldsymbol{B}\\cdot\\boldsymbol{n}\\,dS \\equiv -\\frac{d\\varPhi}{dt}$$<\/p>\n<p dir=\"ltr\">\u3053\u3053\u3067<br \/>\n$$\\varPhi \\equiv \\iint_S \\boldsymbol{B}\\cdot\\boldsymbol{n}\\,dS$$<br \/>\n\u306f\uff0c\u78c1\u675f\u5bc6\u5ea6 \\(\\boldsymbol{B}\\) \u30d9\u30af\u30c8\u30eb\u306e\u5782\u76f4\u6210\u5206\u306e\u9762\u7a4d\u7a4d\u5206\u3067\u3042\u308b\u304b\u3089\uff0c\u9762\u7a4d \\(S\\) \u3092\u8cab\u304f<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u78c1\u675f<\/strong><\/span>\u306b\u306a\u308b\u3002<\/p>\n<p dir=\"ltr\">\u307e\u3068\u3081\u308b\u3068\uff0c<\/p>\n<p dir=\"ltr\">$$\\oint_C \\boldsymbol{E}\\cdot d\\boldsymbol{r} = -\\frac{d\\varPhi}{dt}$$\u3053\u306e\u5f0f\u306f<\/p>\n<p dir=\"ltr\" style=\"text-align: center;\"><span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u9762\u7a4d \\(S\\) \u3092\u8cab\u304f\u78c1\u675f \\(\\varPhi\\) \u304c\u6642\u9593\u7684\u306b\u5909\u5316\u3059\u308b\u3068\uff0c<br \/>\n\uff08\u30de\u30a4\u30ca\u30b9\u304c\u3064\u3044\u3066\u3044\u308b\u304b\u3089\uff09\u305d\u308c\u3092\u59a8\u3052\u308b\u5411\u304d\u306b\u8a98\u5c0e\u8d77\u96fb\u529b\u304c\u751f\u3058\u308b<\/strong><\/span><\/p>\n<p dir=\"ltr\">\u3068\u3044\u3046\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u3066\uff0c\u3053\u306e\u73fe\u8c61\u3092<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u96fb\u78c1\u8a98\u5c0e<\/strong><\/span>\u3068\u547c\u3093\u3067\u3044\u308b\u3002<\/p>\n<p dir=\"ltr\">\u9589\u66f2\u7dda \\(C\\) \u304c\u5c0e\u7dda\u3067\u3042\u308b\u306a\u3089\u3070\uff0c\u3053\u306e\u4e2d\u306b\u306f\u8377\u96fb\u7c92\u5b50\u3067\u3042\u308b\u81ea\u7531\u96fb\u5b50\u304c\u3044\u308b\u3002\u8a98\u5c0e\u8d77\u96fb\u529b\u304c\u751f\u3058\u308b\u3068\uff0c\u56de\u8def\u5185\u306b\u96fb\u5834\u304c\u751f\u3058\u308b\u3053\u3068\u306b\u306a\u308a\uff0c\u3053\u306e\u96fb\u5834\u306b\u3088\u3063\u3066\u96fb\u5b50\u304c\u529b\u3092\u53d7\u3051\u3066\u52d5\u304d\u51fa\u3059\u3002\u8377\u96fb\u7c92\u5b50\u306e\u904b\u52d5\uff0c\u3059\u306a\u308f\u3061\u96fb\u6d41\u304c\u6d41\u308c\u308b\u3002<\/p>\n<p dir=\"ltr\">\u56de\u8def\u306b\u3088\u3063\u3066\u56f2\u307e\u308c\u305f\u90e8\u5206\u306e\u9762\u7a4d\u3092\u8cab\u304f\u78c1\u675f\u306e\u6642\u9593\u5909\u5316\u306b\u3088\u3063\u3066\u56de\u8def\u306b\u96fb\u6d41\u304c\u6d41\u308c\u308b\u3002\u3053\u308c\u304c\u767a\u96fb\u6a5f\u306e\u539f\u7406\u306b\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n<p dir=\"ltr\">\u78c1\u675f\u3092\u5909\u5316\u3055\u305b\u308b\u306b\u306f\u5927\u304d\u304f\u308f\u3051\u30662\u3064\u306e\u65b9\u6cd5\u304c\u3042\u308b\u3060\u308d\u3046\u3002\u4e00\u3064\u306f\u78c1\u5834\u3092\u767a\u751f\u3055\u305b\u3066\u3044\u308b\u78c1\u77f3\u3092\u52d5\u304b\u3059\u3053\u3068\u306b\u3088\u3063\u3066\u76f4\u63a5 \\(\\boldsymbol{B}\\) \u306e\u5927\u304d\u3055\u306e\u6642\u9593\u5909\u5316\u3092\u4f5c\u308a\u51fa\u3059\u3084\u308a\u304b\u305f\u3002\u3082\u3046\u4e00\u3064\u306f\u56de\u8def\u306b\u3088\u3063\u3066\u56f2\u307e\u308c\u305f\u9762\u306e\u50be\u304d\u3092\u5909\u3048\u308b\u3053\u3068\u306b\u3088\u308a\uff0c\u305f\u3068\u3048 \\(\\boldsymbol{B}\\) \u305d\u306e\u3082\u306e\u306f\u4e00\u5b9a\u3067\u3042\u3063\u3066\u3082\uff0c\\(\\boldsymbol{B}\\) \u3068 \\(\\boldsymbol{n}\\) \u306e\u306a\u3059\u89d2\uff0c\u3064\u307e\u308a\u306f \\(\\boldsymbol{B}\\) \u306e\u76f8\u5bfe\u7684\u306a\u5411\u304d\u3092\u6642\u9593\u7684\u306b\u5909\u5316\u3055\u305b\u308b\u3084\u308a\u304b\u305f\u3002<\/p>\n<p dir=\"ltr\">\u306a\u306e\u3067\uff0c\u4eca\u5f8c\uff0c\u4ee5\u4e0b\u306e\u5f0f\u3092\u898b\u304b\u3051\u305f\u3089<br \/>\n$$\\nabla\\times\\boldsymbol{E} + \\frac{\\partial \\boldsymbol{B}}{\\partial t} = \\boldsymbol{0}$$<\/p>\n<p dir=\"ltr\" style=\"text-align: center;\"><strong><span style=\"font-family: helvetica, arial, sans-serif; color: #ff0000;\">\u3042\u308a\u304c\u3068\u3046\u30d5\u30a1\u30e9\u30c7\u30fc\uff01\u3000\u3042\u308a\u304c\u3068\u3046\u30de\u30af\u30b9\u30a6\u30a7\u30eb\uff01<\/span><br \/>\n<span style=\"font-family: helvetica, arial, sans-serif; color: #ff0000;\">\u3053\u306e\u5f0f\u306e\u304a\u304b\u3052\u3067\uff0c\u96fb\u6c17\u304c\u4f7f\u3048\u3066\u3044\u307e\u3059\uff01<\/span><br \/>\n<span style=\"font-family: helvetica, arial, sans-serif; color: #ff0000;\">\u30b9\u30de\u30db\u3082\u30d1\u30bd\u30b3\u30f3\u3082<\/span><br \/>\n<span style=\"font-family: helvetica, arial, sans-serif; color: #ff0000;\">\u96fb\u6c17\u304c\u3042\u308b\u304b\u3089\uff0c\u3053\u306e\u5f0f\u304c\u3042\u308b\u304b\u3089<\/span><br \/>\n<span style=\"font-family: helvetica, arial, sans-serif; color: #ff0000;\">\u4f7f\u3048\u3066\u307e\u3059\uff01<\/span><br \/>\n<\/strong><\/p>\n<p id=\"yui_3_17_2_1_1648543536856_1466\" dir=\"ltr\">\u3068\u611f\u8b1d\u3092\u3059\u308b\u3088\u3046\u306b\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"parent":2561,"menu_order":34,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-2761","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\/2761","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=2761"}],"version-history":[{"count":4,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2761\/revisions"}],"predecessor-version":[{"id":7336,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2761\/revisions\/7336"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2561"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=2761"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}