{"id":2633,"date":"2022-03-26T15:34:49","date_gmt":"2022-03-26T06:34:49","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=2633"},"modified":"2024-12-05T12:44:48","modified_gmt":"2024-12-05T03:44:48","slug":"%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%bc%8f%e3%81%ae%e7%a9%8d%e5%88%86%e8%a1%a8%e7%a4%ba%ef%bc%88%e3%82%b9%e3%83%88%e3%83%bc%e3%82%af%e3%82%b9%e3%81%ae%e5%ae%9a","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\/%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%bc%8f%e3%81%ae%e7%a9%8d%e5%88%86%e8%a1%a8%e7%a4%ba%ef%bc%88%e3%82%b9%e3%83%88%e3%83%bc%e3%82%af%e3%82%b9%e3%81%ae%e5%ae%9a\/","title":{"rendered":"\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e\u7a4d\u5206\u8868\u793a\uff08\u30b9\u30c8\u30fc\u30af\u30b9\u306e\u5b9a\u7406\u95a2\u9023\uff09"},"content":{"rendered":"<p><!--more--><\/p>\n<h3 id=\"yui_3_17_2_1_1648276162309_1374\" dir=\"ltr\">\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e (3) \u5f0f\u306e\u7a4d\u5206\u8868\u793a<\/h3>\n<p>(3) \u5f0f\u306e\u4e21\u8fba\u3092\u4e00\u5b9a\u306e\u66f2\u9762 \\(S\\) \u3067\u9762\u7a4d\u5206\u3057\u3066\uff08\u7b2c2\u9805\u3092\u53f3\u8fba\u306b\u79fb\u9805\u3057\u3066\u3084\u308b\u3068\uff09\uff0c<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"ltr\"><span id=\"selectionBoundary_1636364235232_06860443273177774\" class=\"rangySelectionBoundary\"><\/span>$$\\iint_S (\\nabla\\times \\boldsymbol{E})\\cdot\\boldsymbol{n}\\, dS = \\iint_S \\left(-\\frac{\\partial \\boldsymbol{B}}{\\partial t} \\right) \\cdot\\boldsymbol{n}\\, dS$$<\/p>\n<p dir=\"ltr\">\u5de6\u8fba\u306f\u30b9\u30c8\u30fc\u30af\u30b9\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066\uff0c<\/p>\n<p dir=\"ltr\">$$\\iint_S (\\nabla\\times \\boldsymbol{E})\\cdot\\boldsymbol{n}\\, dS = \\oint_C \\boldsymbol{E}\\cdot d\\boldsymbol{r}$$<\/p>\n<p dir=\"ltr\">\u3068\u306a\u308a\uff0c\u3053\u308c\u306f\u96fb\u5834 \\(\\boldsymbol{E}\\) \u306e\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u9589\u66f2\u7dda \\(C\\) \u306b\u6cbf\u3063\u305f\u6210\u5206\u306e1\u5468\u7dda\u7a4d\u5206<\/strong><\/span>\u300d\u3068\u306a\u308b\u3002\u4e00\u822c\u306b\uff0c\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u9589\u66f2\u7dda \\(C\\) \u306b\u6cbf\u3063\u305f\u6210\u5206\u306e1\u5468\u7dda\u7a4d\u5206<\/strong><\/span>\u300d\u306e\u3053\u3068\u3092\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u9589\u66f2\u7dda \\(C\\) \u306b\u6cbf\u3063\u305f<u>\u5faa\u74b0<\/u><\/strong><\/span>\u300d\u3068\u3044\u3046\u306e\u3067\uff0c\\(\\displaystyle\u00a0\\oint_C \\boldsymbol{E}\\cdot d\\boldsymbol{r} \\) \u306f\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u96fb\u5834 \\(\\boldsymbol{E}\\) \u306e\u9589\u66f2\u7dda \\(C\\) \u306b\u305d\u3063\u305f<u>\u5faa\u74b0<\/u><\/strong><\/span>\u300d\u3067\u3042\u308a\uff0c\u7279\u306b\u3053\u306e\u96fb\u5834 \\(\\boldsymbol{E}\\) \u306e\u5faa\u74b0\u306e\u3053\u3068\u3092\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><u><strong>\u8a98\u5c0e\u8d77\u96fb\u529b<\/strong><\/u><\/span>\u300d\u3068\u547c\u3076\u3002\uff08\u306a\u305c\u300c\u529b\u300d\u304c\u751f\u3058\u308b\u306e\u304b\u306f\uff0c\u5f8c\u3067\u3002\uff09<\/p>\n<p dir=\"ltr\">\u307e\u305f\u53f3\u8fba\u306f\uff0c\u66f2\u9762 \\(S\\) \u304a\u3088\u3073\u305d\u308c\u3092\u56f2\u3080\u9589\u66f2\u7dda \\(C\\) \u304c\u4e00\u5b9a\u3067\u6642\u9593\u5909\u5316\u3057\u306a\u3044\u3068\u3057\u305f\u304b\u3089\uff0c<\/p>\n<p dir=\"ltr\">$$\\iint_S \\left(-\\frac{\\partial \\boldsymbol{B}}{\\partial t} \\right) \\cdot\\boldsymbol{n}\\, dS = &#8211; \\frac{d}{dt} \\iint_S \\boldsymbol{B}\\cdot\\boldsymbol{n}\\, dS$$<\/p>\n<p dir=\"ltr\">\u3068\u306a\u308a\uff0c\u3053\u308c\u306f\u78c1\u675f\u5bc6\u5ea6 \\(\\boldsymbol{B}\\) \u306e\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u66f2\u9762 \\(S\\) \u306b\u5782\u76f4\u306a\u6210\u5206\u306e\u9762\u7a4d\u7a4d\u5206<\/strong><\/span>\u300d\u3068\u306a\u308b\u3002\u4e00\u822c\u306b\uff0c\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u66f2\u9762 \\(S\\) \u306b\u5782\u76f4\u306a\u6210\u5206\u306e\u9762\u7a4d\u7a4d\u5206<\/strong><\/span>\u300d\u306e\u3053\u3068\u3092\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u66f2\u9762 \\(S\\) \u3092\u8cab\u304f<u>\u6d41\u675f<\/u><\/strong><\/span>\u300d\u3068\u3044\u3046\u306e\u3067\uff0c\\(\\displaystyle\u00a0\\iint_S \\boldsymbol{B}\\cdot\\boldsymbol{n}\\, dS \\) \u306f<span style=\"font-family: helvetica, arial, sans-serif;\">\u300c<strong>\u78c1\u675f\u5bc6\u5ea6 \\(\\boldsymbol{B}\\) \u306e\u66f2\u9762 \\(S\\) \u3092\u8cab\u304f\u6d41\u675f<\/strong><\/span>\u300d\u3067\u3042\u308a\uff0c\u7279\u306b\u3053\u306e\u5834\u5408\u306f\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u78c1\u675f<\/strong><\/span>\u300d\u305d\u306e\u3082\u306e\u306b\u306a\u308b\u3002<\/p>\n<p dir=\"ltr\">\u3057\u305f\u304c\u3063\u3066\uff0c(3) \u5f0f\u306e\u7a4d\u5206\u8868\u793a\u3092\u3042\u305f\u3089\u3081\u3066\u307f\u308b\u3068<\/p>\n<p dir=\"ltr\">$$\\oint_C \\boldsymbol{E}\\cdot d\\boldsymbol{r} = &#8211; \\frac{d}{dt} \\iint_S \\boldsymbol{B}\\cdot\\boldsymbol{n}\\, dS$$<\/p>\n<p dir=\"ltr\">\u3068\u306a\u308a\uff0c<span style=\"font-family: helvetica, arial, sans-serif; color: #ff0000;\"><strong>\u66f2\u9762 \\(S\\) \u3092\u8cab\u304f\u78c1\u675f\u304c\u6642\u9593\u5909\u5316\u3059\u308b\u3068\u8a98\u5c0e\u8d77\u96fb\u529b\u304c\u751f\u3058\u308b<\/strong><\/span>\u3053\u3068\u3092\u8868\u3057\u3066\u304a\u308a\uff0c\u3053\u308c\u306f\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u30d5\u30a1\u30e9\u30c7\u30fc\u306e\u6cd5\u5247<\/strong><\/span>\u300d\u3067\u3042\u308b\u3002<\/p>\n<p dir=\"ltr\">\u8a98\u5c0e\u8d77\u96fb\u529b\u3068\u306f\u3064\u307e\u308a\u96fb\u5834\u304c\u751f\u3058\u308b\u3053\u3068\u3067\u3042\u308b\u304b\u3089\uff0c\u305d\u3053\u306b\u8377\u96fb\u7c92\u5b50\u304c\u3042\u308b\u3068\uff08\u5f8c\u8ff0\u3059\u308b\u3088\u3046\u306b\u30ed\u30fc\u30ec\u30f3\u30c4\u529b\u3068\u3044\u3046\uff09\u529b\u304c\u306f\u305f\u3089\u304d\uff0c\u8377\u96fb\u7c92\u5b50\u306f\u3058\u3063\u3068\u3057\u3066\u3044\u3089\u308c\u305a\u9589\u66f2\u7dda\u306b\u305d\u3063\u3066\u52d5\u304d\u3060\u3059\uff0c\u3064\u307e\u308a\u96fb\u6d41\u304c\u6d41\u308c\u308b\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n<h3 dir=\"ltr\">\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e (4) \u5f0f\u306e\u7a4d\u5206\u8868\u793a<\/h3>\n<p>\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e (4) \u5f0f\u306f\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u30a2\u30f3\u30da\u30fc\u30eb-\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u306e\u6cd5\u5247<\/strong><\/span>\u300d\u3068\u547c\u3070\u308c\u308b\u304c\uff0c\u7c21\u5358\u306e\u305f\u3081\u306b\u96fb\u675f\u5bc6\u5ea6\u304c\u6642\u9593\u5909\u5316\u3057\u306a\u3044 \\(\\displaystyle \\frac{\\partial \\boldsymbol{D}}{\\partial t} = \\boldsymbol{0}\\) \u3068\u3057\u3066\uff0c\u4e21\u8fba\u3092\u66f2\u9762 \\(S\\) \u3067\u9762\u7a4d\u5206\u3059\u308b\u3068\uff0c<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"ltr\">$$\\iint_S (\\nabla\\times \\boldsymbol{H})\\cdot\\boldsymbol{n}\\, dS =\\frac{1}{\\mu_0}\\iint_S (\\nabla\\times\\boldsymbol{B})\\cdot\\boldsymbol{n}\\, dS = \\iint_S \\boldsymbol{J} \\cdot\\boldsymbol{n}\\, dS$$<\/p>\n<p dir=\"ltr\">\u5de6\u8fba\u306f\u30b9\u30c8\u30fc\u30af\u30b9\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066\uff0c<\/p>\n<p dir=\"ltr\">$$\\frac{1}{\\mu_0}\\iint_S (\\nabla\\times \\boldsymbol{B})\\cdot\\boldsymbol{n}\\, dS =\\frac{1}{\\mu_0} \\oint_C \\boldsymbol{B}\\cdot d\\boldsymbol{r}$$<\/p>\n<p>\u3068\u306a\u308a\uff0c\u7a4d\u5206\u90e8\u5206\u306f\u9589\u66f2\u7dda \\(C\\) \u306b\u6cbf\u3063\u305f\u78c1\u675f\u5bc6\u5ea6 \\(\\boldsymbol{B}\\) \u306e\u5faa\u74b0\u3067\u3042\u308b\u3002<\/p>\n<p>\u307e\u305f\uff0c\u53f3\u8fba \\(\\displaystyle\u00a0\\iint_S \\boldsymbol{J} \\cdot\\boldsymbol{n}\\, dS \\) \u306f\uff0c\u66f2\u9762 \\(S\\) \u3092\u8cab\u304f\u96fb\u6d41 \\(I\\) \u3092\u3042\u3089\u308f\u3059\u3002<\/p>\n<p>$$ \u00a0\\iint_S \\boldsymbol{J} \\cdot\\boldsymbol{n}\\, dS = I$$<\/p>\n<p>\u307e\u3068\u3081\u308b\u3068\uff0c<\/p>\n<p>$$\\oint_C \\boldsymbol{B}\\cdot d\\boldsymbol{r} = \\mu_0 I$$<\/p>\n<p>\u3068\u306a\u308a\uff0c<span style=\"font-family: helvetica, arial, sans-serif; color: #ff0000;\"><strong>\u96fb\u6d41\u304c\u6d41\u308c\u308b\u3068\u305d\u306e\u5468\u308a\u306b\u78c1\u675f\u5bc6\u5ea6\u306e\u5faa\u74b0\u304c\u3067\u304d\u308b<\/strong><\/span>\u3053\u3068\uff0c\u3082\u3063\u3068\u5927\u96d1\u628a\u306b\u8a00\u3046\u306a\u3089\u3070\uff0c<span style=\"font-family: helvetica, arial, sans-serif; color: #ff0000;\"><strong>\u96fb\u6d41\u304c\u6d41\u308c\u308b\u3068\u78c1\u5834\u304c\u3067\u304d\u308b<\/strong><\/span>\u3053\u3068\u3092\u8868\u3057\u3066\u3044\u308b\u3002\u3053\u308c\u304c\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u30a2\u30f3\u30da\u30fc\u30eb\u306e\u6cd5\u5247<\/strong><\/span>\u300d\u3067\u3042\u308b\u3002<\/p>\n<p>\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u306f\uff0c\u96fb\u5834\uff08\u96fb\u675f\u5bc6\u5ea6\uff09\u304c\u6642\u9593\u7684\u306b\u5909\u5316\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3082\u78c1\u5834\u304c\u751f\u3058\u308b\u3053\u3068\u3092\u898b\u51fa\u3057\uff0c\\(\\displaystyle \\frac{\\partial \\boldsymbol{D}}{\\partial t}\\) \u306e\u9805\u3092\u4ed8\u3051\u52a0\u3048\u305f\u305f\u3081\uff0c(4) \u5f0f\u306f\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u30a2\u30f3\u30da\u30fc\u30eb-\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u306e\u6cd5\u5247<\/strong><\/span>\u300d\u3068\u547c\u3070\u308c\u308b\u3053\u3068\u306b\u306a\u3063\u305f\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"parent":2561,"menu_order":14,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-2633","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\/2633","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=2633"}],"version-history":[{"count":3,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2633\/revisions"}],"predecessor-version":[{"id":9850,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2633\/revisions\/9850"}],"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=2633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}