{"id":9852,"date":"2024-12-05T13:24:44","date_gmt":"2024-12-05T04:24:44","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=9852"},"modified":"2024-12-05T14:56:56","modified_gmt":"2024-12-05T05:56:56","slug":"%e5%8f%82%e8%80%83%ef%bc%9a%e3%82%a2%e3%83%b3%e3%83%9a%e3%83%bc%e3%83%ab%e3%81%ae%e6%b3%95%e5%89%87%e3%82%92%e4%bd%bf%e3%81%a3%e3%81%a6%e7%a3%81%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b","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%9d%99%e7%a3%81%e5%a0%b4%ef%bc%9a%e9%9b%bb%e6%b5%81%e5%af%86%e5%ba%a6%e3%81%8b%e3%82%89%e7%9b%b4%e6%8e%a5%e9%9d%99%e7%a3%81%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b\/%e5%8f%82%e8%80%83%ef%bc%9a%e3%82%a2%e3%83%b3%e3%83%9a%e3%83%bc%e3%83%ab%e3%81%ae%e6%b3%95%e5%89%87%e3%82%92%e4%bd%bf%e3%81%a3%e3%81%a6%e7%a3%81%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b\/","title":{"rendered":"\u53c2\u8003\uff1a\u30a2\u30f3\u30da\u30fc\u30eb\u306e\u6cd5\u5247\u3092\u4f7f\u3063\u3066\u78c1\u5834\u3092\u6c42\u3081\u308b"},"content":{"rendered":"<p><!--more-->\u9759\u78c1\u5834\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\uff08\u30a2\u30f3\u30da\u30fc\u30eb\u306e\u6cd5\u5247\u306e\u5fae\u5206\u5f62\uff09<\/p>\n<p>$$\\nabla\\times \\boldsymbol{B} = \\mu_0 \\boldsymbol{J}$$<\/p>\n<p>\u306e\u4e21\u8fba\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u9762\u7a4d\u5206\u3059\u308b\u3002<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\iint_S (\\nabla\\times \\boldsymbol{B} )\\cdot\\boldsymbol{n}\\, dS &amp;=&amp; \\mu_0 \\iint_S \\boldsymbol{J}\\cdot\\boldsymbol{n}\\, dS<br \/>\n\\end{eqnarray}<\/p>\n<p>$\\mu_0$ \u3092\u9664\u3044\u305f\u53f3\u8fba\u306f\u9762\u7a4d $S$ \u3092\u5782\u76f4\u306b\u8cab\u304f\u5168\u96fb\u6d41 $I$ \u306b\u306a\u308b\uff1a<\/p>\n<p>$$\\iint_S \\boldsymbol{J}\\cdot\\boldsymbol{n}\\, dS = I$$<\/p>\n<p>\u307e\u305f\uff0c\u5de6\u8fba\u306f\u30b9\u30c8\u30fc\u30af\u30b9\u306e\u5b9a\u7406\u304b\u3089\uff0c\u9762\u7a4d $S$ \u3092\u56f2\u3080\u9589\u66f2\u7dda $C$ \u306b\u6cbf\u3063\u305f1\u5468\u7dda\u7a4d\u5206\u306b\u306a\u308b\u306e\u3067\u3057\u305f\u306d\u3002<\/p>\n<p>\\begin{eqnarray}\\iint_S (\\nabla\\times \\boldsymbol{B} )\\cdot\\boldsymbol{n}\\, dS &amp;=&amp;\u00a0 \\oint_C \\boldsymbol{B}\\cdot\u00a0 d\\boldsymbol{r} \\\\<br \/>\n&amp;=&amp; \\oint_C \\boldsymbol{B}\\cdot\u00a0 \\frac{d\\boldsymbol{r} }{d\\ell} \\, d\\ell \\\\<br \/>\n&amp;=&amp; \\oint_C \\boldsymbol{B}\\cdot\u00a0 \\boldsymbol{t}\u00a0 \\, d\\ell<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3053\u3053\u3067\uff0c$\\displaystyle \\boldsymbol{t} \\equiv \\frac{d\\boldsymbol{r} }{d\\ell}$ \u306f\u9589\u66f2\u7dda $C$ \u306b\u6cbf\u3063\u305f\u63a5\u30d9\u30af\u30c8\u30eb\u3002$\\boldsymbol{t}$ \u306f\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308a\uff0c<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\boldsymbol{t}\\cdot\\boldsymbol{t} &amp;=&amp;<br \/>\n\\frac{d\\boldsymbol{r} }{d\\ell}\\cdot\\frac{d\\boldsymbol{r} }{d\\ell} = 1 \\\\<br \/>\n\\therefore\\ \\ d\\ell^2 &amp;=&amp; d\\boldsymbol{r}\\cdot d \\boldsymbol{r}<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3068\u306a\u308b\u304b\u3089\uff0c$d\\ell$ \u306f\u9589\u66f2\u7dda $C$ \u306b\u6cbf\u3063\u305f\u5fae\u5c0f\u9577\u3055\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\uff0c\u30a2\u30f3\u30da\u30fc\u30eb\u306e\u6cd5\u5247\u306e\u7a4d\u5206\u5f62\u306f<\/p>\n<p>$$\\oint_C \\boldsymbol{B}\\cdot\u00a0 \\boldsymbol{t}\u00a0 \\, d\\ell =\\mu_0 \\,I$$<\/p>\n<p>\u3053\u308c\u3092\u4f7f\u3046\u3068\u7c21\u5358\u306b\u96fb\u6d41 $I$ \u304c\u3064\u304f\u308b\u78c1\u5834\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u305d\u3046\u3067\u3059\u304c\uff0c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u3053\u3053\u3067\u7559\u610f\u3059\u3079\u304d\u70b9\u306f\uff0c\u30a2\u30f3\u30da\u30fc\u30eb\u306e\u6cd5\u5247\u3092\u4f7f\u3063\u3066\u6c42\u3081\u3089\u308c\u308b\u306e\u306f\u9589\u66f2\u7dda $C$ \u306b\u6cbf\u3063\u305f\u78c1\u5834\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206 $B_t \\equiv \\boldsymbol{B}\\cdot\u00a0 \\boldsymbol{t}$ \u3060\u3051\u3067\u3042\u308a\uff0c\u305d\u308c\u4ee5\u5916\u306e\u6210\u5206\u306b\u3064\u3044\u3066\u306f\u4f55\u3082\u8a00\u3048\u306a\u3044\u3068\u3044\u3046\u3053\u3068<\/strong><\/span>\u3002\u306a\u306e\u3067\uff0c$B_t$ \u4ee5\u5916\u306e\u6210\u5206\u304c\u3042\u308b\u306e\u304b\u306a\u3044\u306e\u304b\u3092\uff0c\u7cfb\u306e\u5bfe\u79f0\u6027\u306b\u57fa\u3065\u3044\u305f\u63a8\u8ad6\u3068\u304b\uff0c\u7269\u7406\u7684\u76f4\u611f\u3068\u304b\u3067\u308f\u304b\u3063\u3066\u3044\u306a\u3044\u3068\u3044\u3051\u306a\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"parent":2687,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-9852","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\/9852","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=9852"}],"version-history":[{"count":17,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/9852\/revisions"}],"predecessor-version":[{"id":9872,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/9852\/revisions\/9872"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2687"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=9852"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}