{"id":2631,"date":"2022-03-26T15:28:49","date_gmt":"2022-03-26T06:28:49","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=2631"},"modified":"2022-03-26T15:28:49","modified_gmt":"2022-03-26T06:28:49","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%ac%e3%82%a6%e3%82%b9%e3%81%ae%e5%ae%9a%e7%90%86%e9%96%a2","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%ac%e3%82%a6%e3%82%b9%e3%81%ae%e5%ae%9a%e7%90%86%e9%96%a2\/","title":{"rendered":"\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e\u7a4d\u5206\u8868\u793a\uff08\u30ac\u30a6\u30b9\u306e\u5b9a\u7406\u95a2\u9023\uff09"},"content":{"rendered":"

<\/p>\n

\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e (1) \u5f0f\u306e\u7a4d\u5206\u8868\u793a<\/h3>\n

(1) \u5f0f\u306e\u4e21\u8fba\u3092\u4f53\u7a4d\u5206\u3057\u3066\uff0c<\/p>\n

$$\\iiint_V \\nabla\\cdot \\boldsymbol{D} \\,dV = \\iiint_V \\rho \\,dV$$<\/p>\n

\u3053\u306e\u53f3\u8fba \\(\\displaystyle \\iiint_V \\rho \\,dV\\) \u306f\uff0c\u96fb\u8377\u5bc6\u5ea6 \\(\\rho\\) \\( (\\mbox{C}\/\\mbox{m}^3) \\) \u306e\u4f53\u7a4d \\(V\\) \\((\\mbox{m}^3)\\) \u3067\u306e\u7a4d\u5206\u306a\u306e\u3067\uff0c\u4f53\u7a4d \\(V\\) \u5185\u306e\u5168\u96fb\u8377 \\(Q (\\mbox{C})\\) \u3068\u306a\u308b\u3002<\/p>\n

$$\\iiint_V \\rho \\,dV = Q$$<\/p>\n

\u96fb\u8377 \\((\\mbox{C})\\) \u306f\u96fb\u6c17\u529b\u7dda\u306e\u308f\u304d\u51fa\u3059\u672c\u6570\uff08\u8ca0\u306e\u5834\u5408\u306f\u5438\u3044\u8fbc\u307e\u308c\u308b\u672c\u6570\uff09\u3092\u8868\u3059\u304b\u3089\uff0c\u3053\u306e\u53f3\u8fba\u306f\u4f53\u7a4d \\(V\\) \u304b\u3089\u308f\u304d\u51fa\u3059\u96fb\u6c17\u529b\u7dda\u306e\u7dcf\u672c\u6570\u3092\u8868\u3059\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n

\u4e00\u65b9\uff0c\u5de6\u8fba \\( \\iiint_V \\nabla\\cdot \\boldsymbol{D} \\,dV\\) \u306f\u30ac\u30a6\u30b9\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066\uff0c<\/p>\n

$$\\iiint_V \\nabla\\cdot \\boldsymbol{D} \\,dV = \\iint_S \\boldsymbol{D}\\cdot\\boldsymbol{n}\\, dS$$<\/p>\n

\u3068\u306a\u308a\uff0c\u3053\u308c\u306f\u96fb\u675f\u5bc6\u5ea6 \\(\\boldsymbol{D}\\) \\((\\mbox{C}\/\\mbox{m}^2)\\)\u00a0 \u306e\u5782\u76f4\u6210\u5206 \\( \\boldsymbol{D}\\cdot\\boldsymbol{n}\\) \u3092\uff0c\u4f53\u7a4d \\(V\\) \u3092\u56f2\u3080\u9589\u66f2\u9762 \\(S\\) \\((\\mbox{m}^2)\\) \u4e0a\u3067\u7a4d\u5206\u3059\u308b\u306e\u3067\u3042\u308b\u304b\u3089\uff0c\u9589\u66f2\u9762 \\(S\\) \u3092\u8cab\u3044\u3066\u5916\u5074\u3078\u51fa\u3066\u3044\u304f\u96fb\u6c17\u529b\u7dda\u306e\u7dcf\u672c\u6570\u3068\u306a\u308a\uff0c\u30ac\u30a6\u30b9\u306e\u5b9a\u7406\u306b\u3088\u308a\uff0c\u5de6\u8fba\u3068\u53f3\u8fba\u306e\u3064\u3058\u3064\u307e\u304c\u5408\u3046\u3088\u3046\u306b\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n

$$ \\iint_S \\boldsymbol{D}\\cdot\\boldsymbol{n}\\, dS = Q$$<\/p>\n

\u3053\u308c\u306f\uff0c\u96fb\u8377\u304c\u5b58\u5728\u3059\u308b\u3068\u305d\u3053\u304b\u3089\u96fb\u6c17\u529b\u7dda\u306e\u675f\u304c\u308f\u304d\u51fa\u3057\u305f\u308a\uff08\u8ca0\u96fb\u8377\u306e\u5834\u5408\u306f\u5438\u3044\u8fbc\u307e\u308c\u305f\u308a\uff09\u3059\u308b\uff0c\u3082\u3063\u3068\u5927\u96d1\u628a\u306b\u8a00\u3046\u3068\uff0c\u96fb\u8377\u304c\u3042\u308b\u3068\u305d\u306e\u307e\u308f\u308a\u306b\u96fb\u5834\u304c\u3067\u304d\u308b\u3068\u3044\u3046\u3053\u3068\u3092\u8868\u3057\u3066\u3044\u308b\u3002\u3053\u306e\u5f0f\u306f\u300c\u30ac\u30a6\u30b9\u306e\u6cd5\u5247<\/strong><\/span>\u300d\u3068\u547c\u3070\u308c\u3066\u3044\u308b\u3002<\/p>\n

\n

\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e (2) \u5f0f\u306e\u7a4d\u5206\u8868\u793a<\/h3>\n

<\/h4>\n

<\/span>(2) \u5f0f\u306e\u4e21\u8fba\u3092\u4f53\u7a4d\u5206\u3057\u3066<\/p>\n

$$\\iiint_V \\nabla\\cdot \\boldsymbol{B} \\,dV = 0$$<\/p>\n

\u5de6\u8fba \\(\\displaystyle \\iiint_V \\nabla\\cdot \\boldsymbol{B} \\,dV\\) \u306f\u30ac\u30a6\u30b9\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066\uff0c<\/p>\n

$$\\iiint_V \\nabla\\cdot \\boldsymbol{B} \\,dV = \\iint_S \\boldsymbol{B}\\cdot\\boldsymbol{n}\\, dS$$<\/p>\n

\u3068\u306a\u308a\uff0c\u3053\u308c\u306f\u78c1\u675f\u5bc6\u5ea6 \\(\\boldsymbol{B}\\) \\((\\mbox{T} = \\mbox{Wb}\/\\mbox{m}^2)\\)\u00a0 \u306e\u5782\u76f4\u6210\u5206 \\( \\boldsymbol{B}\\cdot\\boldsymbol{n}\\) \u3092\uff0c\u4f53\u7a4d \\(V\\) \u3092\u56f2\u3080\u9589\u66f2\u9762 \\(S\\) \\((\\mbox{m}^2)\\) \u4e0a\u3067\u7a4d\u5206\u3059\u308b\u306e\u3067\u3042\u308b\u304b\u3089\uff0c\u9589\u66f2\u9762 \\(S\\) \u3092\u8cab\u3044\u3066\u5916\u5074\u3078\u51fa\u3066\u3044\u304f\u78c1\u529b\u7dda\u306e\u7dcf\u672c\u6570\u3068\u306a\u308b\u3002\u307e\u3068\u3081\u308b\u3068\uff0c<\/p>\n

$$\\iint_S \\boldsymbol{B}\\cdot\\boldsymbol{n}\\, dS =0$$<\/p>\n

\u3053\u308c\u304c\u30bc\u30ed\u3067\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u306f\uff0c\u305f\u3060\u3061\u306b\u78c1\u529b\u7dda\u306e\u672c\u6570\u304c\u30bc\u30ed\u3068\u3044\u3046\u3053\u3068\u3092\u793a\u3059\u306e\u3067\u306f\u306a\u304f\uff0c\u4e00\u822c\u306b\u306f\uff0c\u5916\u306b\u51fa\u3066\u3044\u304f\u78c1\u529b\u7dda\u306e\u672c\u6570\u3068\uff0c\u53cd\u5bfe\u306b\u5916\u304b\u3089\u5185\u306b\u5165\u3063\u3066\u304f\u308b\u78c1\u529b\u7dda\u306e\u672c\u6570\u304c\u7b49\u3057\u3044\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002<\/p>\n

\u3044\u304b\u306a\u308b\u4f53\u7a4d\u3067\u8003\u3048\u3088\u3046\u3068\u3082\uff0c\u305d\u306e\u4f53\u7a4d\u3092\u56f2\u3080\u9589\u66f2\u9762\u304b\u3089\u51fa\u3066\u3044\u304f\u78c1\u529b\u7dda\u306e\u672c\u6570\u3068\u9589\u66f2\u9762\u306b\u5165\u3063\u3066\u304f\u308b\u672c\u6570\u3068\u306f\u7b49\u3057\u3044\u3002\u78c1\u529b\u7dda\u306b\u306f\uff0c\u308f\u304d\u51fa\u3057\u53e3\u3082\u5438\u3044\u8fbc\u307f\u53e3\u3082\u5358\u72ec\u3067\u306f\u5b58\u5728\u3057\u306a\u3044\u306e\u3067\u3042\u308b\u3002\u305d\u306e\u610f\u5473\u3067\uff0c\u78c1\u529b\u7dda\u306e\u308f\u304d\u51fa\u3057\u53e3\u306b\u76f8\u5f53\u3059\u308b\u300c\u6b63\u306e\u78c1\u8377\u300d\uff08N\u6975\uff09\u3084\u5438\u3044\u8fbc\u307f\u53e3\u306b\u76f8\u5f53\u3059\u308b\u300c\u8ca0\u306e\u78c1\u8377\u300d\uff08S\u6975\uff09\u306f\uff0c\uff08\u5358\u72ec\u3067\u306f\uff09\u5b58\u5728\u3057\u3048\u306a\u3044\u3002<\/p>\n

\u4f55\u5ea6\u3082\u3044\u3046\u304c\uff0c\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e (2) \u5f0f\u3067\u3042\u308b \\( \\nabla\\cdot\\boldsymbol{B}=0\\) \u306e\u610f\u5473\u3059\u308b\u3068\u3053\u308d\u306f\u6975\u3081\u3066\u8208\u5473\u6df1\u3044\u3002\u5f62\u3068\u3057\u3066\u306f\u300c\u78c1\u5834\u306b\u5bfe\u3059\u308b\u30ac\u30a6\u30b9\u306e\u6cd5\u5247<\/strong><\/span>\u300d\u3068\u547c\u3076\u3079\u304d\u3082\u306e\u3067\u3042\u308b\u304c\uff0c\u53f3\u8fba\u304c\u5e38\u306b\u30bc\u30ed\u3067\u3042\u308b\u3053\u3068\u304b\u3089\uff0c\u305d\u306e\u610f\u5473\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u6a19\u8a9e\u7684\u306b\u899a\u3048\u3066\u304a\u304f\u3068\u3044\u3044\u3060\u308d\u3046\u3002<\/p>\n

\u30de\u30af\u30b9\u30a6\u30a7\u30eb\u65b9\u7a0b\u5f0f\u306e (2) \u5f0f \\( \\nabla\\cdot\\boldsymbol{B} = 0\\) \u306f\u4ee5\u4e0b\u306e\u3053\u3068\u3092\u610f\u5473\u3059\u308b\uff1a\u78c1\u6c17\u5358\u6975\u5b50\u306f\u5b58\u5728\u3057\u306a\u3044\u3002\u78c1\u529b\u7dda\u306e\u308f\u304d\u51fa\u3057\u53e3\u306b\u76f8\u5f53\u3059\u308b\u300c\u6b63\u306e\u78c1\u8377\u300d\uff08N\u6975\uff09\u3084\u5438\u3044\u8fbc\u307f\u53e3\u306b\u76f8\u5f53\u3059\u308b\u300c\u8ca0\u306e\u78c1\u8377\u300d\uff08S\u6975\uff09\u306f\uff0c\u5358\u72ec\u3067\u306f\u5b58\u5728\u3057\u3048\u306a\u3044\u3002\u5fc5\u305a\u5bfe\u306b\u306a\u3063\u3066\uff08\u30d7\u30e9\u30b9\u30de\u30a4\u30ca\u30b9\u30bc\u30ed\u306e\u3088\u3046\u306b\uff09\u73fe\u308c\u308b\u3002<\/strong><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"parent":2561,"menu_order":12,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-2631","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\/2631","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=2631"}],"version-history":[{"count":1,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2631\/revisions"}],"predecessor-version":[{"id":2632,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2631\/revisions\/2632"}],"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=2631"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}