{"id":7726,"date":"2024-12-05T14:50:03","date_gmt":"2024-12-05T05:50:03","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=7726"},"modified":"2025-01-20T11:01:02","modified_gmt":"2025-01-20T02:01:02","slug":"%e5%b9%b3%e8%a1%8c%e7%9b%b4%e7%b7%9a%e9%9b%bb%e6%b5%81%e3%81%ab%e3%81%af%e3%81%9f%e3%82%89%e3%81%8f%e5%8a%9b","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%b9%b3%e8%a1%8c%e7%9b%b4%e7%b7%9a%e9%9b%bb%e6%b5%81%e3%81%ab%e3%81%af%e3%81%9f%e3%82%89%e3%81%8f%e5%8a%9b\/","title":{"rendered":"\u5e73\u884c\u76f4\u7dda\u96fb\u6d41\u306b\u306f\u305f\u3089\u304f\u529b\u3068\u30a2\u30f3\u30da\u30a2\u306e\u5b9a\u7fa9\uff08\u518d\u5b9a\u7fa9\u306e\u8a71\u3082\uff09"},"content":{"rendered":"

<\/p>\n

\u76f4\u7dda\u96fb\u6d41\u306b\u3088\u308b\u96fb\u5834
\n\"\"<\/h3>\n

\u4e0a\u56f3\u306e\u3088\u3046\u306a\u5e73\u884c\u76f4\u7dda\u96fb\u6d41\u3092\u8003\u3048\u308b\u3002<\/p>\n

\u96fb\u6d41 $\\boldsymbol{I}_1$ \u304c $\\boldsymbol{I}_2$ \u306e\u4f4d\u7f6e\u306b\u3064\u304f\u308b\u78c1\u675f\u5bc6\u5ea6 $\\boldsymbol{B}$ \u306f<\/p>\n

$$\\boldsymbol{B} = \\frac{1}{2\\pi \\varepsilon_0 c^2}\u00a0 \\frac{\\boldsymbol{I}_1\\times\\boldsymbol{\\varrho}}{\\varrho^2}= \\frac{\\mu_0}{2\\pi }\u00a0 \\frac{\\boldsymbol{I}_1\\times\\boldsymbol{\\varrho}}{\\varrho^2}$$<\/p>\n

\u3067\u3042\u3063\u305f\u3002\uff08\u300c\u76f4\u7dda\u96fb\u6d41\u306b\u3088\u308b\u78c1\u5834<\/a>\u300d\u3092\u53c2\u7167\u3002\uff09\u3053\u3053\u3067\u306f\uff0c$\\boldsymbol{I}_1 = (0, 0, I_1)$\uff0c $\\boldsymbol{\\varrho} = (d, 0, 0)$ \u3067\u3042\u308b\u304b\u3089\uff0c<\/p>\n

$$\\boldsymbol{B} = (0, B, 0) = \\left( 0, \\frac{\\mu_0\\,I_1}{2\\pi \\,d}, 0 \\right)$$<\/p>\n

\u96fb\u6d41\u306b\u306f\u305f\u3089\u304f\u529b<\/h3>\n

\u96fb\u6d41 $\\boldsymbol{I}_2$ \u306b\u306f\u305f\u3089\u304f\u5358\u4f4d\u9577\u3055\u3042\u305f\u308a\u306e\u529b $\\boldsymbol{f}$ \u306f<\/p>\n

$$\\boldsymbol{f}\\equiv\\frac{\\varDelta \\boldsymbol{F} }{\\varDelta L} = \\boldsymbol{I}_2 \\times \\boldsymbol{B}$$<\/p>\n

\u3067\u3042\u3063\u305f\uff08\u300c\u96fb\u6d41\u7d20\u7247\u306b\u306f\u305f\u3089\u304f\u529b<\/a> \u300d\u3092\u53c2\u7167\u3002\uff09\u3053\u3053\u3067\u306f\uff0c$\\boldsymbol{I}_2 = (0, 0, I_2)$ \u3067\u3042\u308b\u304b\u3089<\/p>\n

$$\\boldsymbol{f} = (-f, 0, 0, ) =\u00a0 \\left(- \\frac{\\mu_0\\,I_1\\,I_2}{2\\pi \\,d}, 0, 0\\right)$$<\/p>\n

\u3068\u306a\u308b\u3002\u5e73\u884c\u76f4\u7dda\u96fb\u6d41\u306f\uff0c\u96fb\u6d41\u304c\u540c\u3058\u5411\u304d\u3067\u3042\u308c\u3070 $f$ \u306e\u5927\u304d\u3055\u306e\u529b\u3067\u5f15\u304d\u5408\u3044\uff0c\u53cd\u5bfe\u5411\u304d\u3067\u3042\u308c\u3070\u53cd\u767a\u3057\u3042\u3046\u3002<\/p>\n

\u771f\u7a7a\u306e\u900f\u78c1\u7387\u3068 SI \u57fa\u672c\u5358\u4f4d\u306e\u518d\u5b9a\u7fa9<\/h3>\n

2019\u5e74\u306e SI \u57fa\u672c\u5358\u4f4d\u306e\u518d\u5b9a\u7fa9<\/strong><\/span>\u3088\u308a\u4ee5\u524d\u306f\uff0c\u300c$1\\, \\mbox{m}$ \u96e2\u308c\u305f\u5e73\u884c\u76f4\u7dda\u96fb\u6d41\u306b $1\\, \\mbox{A}$ \u306e\u96fb\u6d41\u304c\u6d41\u308c\u308b\u3068\u304d\uff0c$1\\,\\mbox{m}$ \u3042\u305f\u308a\u306b $2 \\times 10^{-7}\\, \\mbox{N}$ \u306e\u529b\u304c\u306f\u305f\u3089\u304f<\/strong><\/span>\u300d\uff0c\u3068\u3057\u3066\u96fb\u6d41\u5358\u4f4d\u306e\u30a2\u30f3\u30da\u30a2 $\\mbox{A}$ \u304c\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u305f\u3002<\/p>\n

\u3064\u307e\u308a\uff0c<\/p>\n

\\begin{eqnarray}
\n\\Delta L &=& 1 \\,(\\mbox{m}) \\\\
\nd &=& 1 \\,\\mbox{(m)} \\\\
\nI_1 = I_2 &=& 1\\,\\mbox{(A)} \\\\
\nf &=& \\frac{\\mu_0\\,I_1\\,I_2}{2\\pi \\,d} \\\\
\n&=& \\frac{\\mu_0 \\times 1 \\,(\\mbox{A}^2)}{2\\pi \\times 1\\,(\\mbox{m})}
\n= 2 \\times 10^{-7}\\, (\\mbox{N}\/\\mbox{m} )\\\\
\n\\therefore\\ \\ \\mu_0 &=& 4 \\pi \\times 10^{-7}\\,(\\mbox{N}\/\\mbox{A}^2) \\\\
\n&=& 4 \\pi \\times 10^{-7}\\,(\\mbox{H}\/\\mbox{m})
\n\\end{eqnarray}<\/p>\n

\u3068\u306a\u308a\uff0c\u771f\u7a7a\u306e\u900f\u78c1\u7387 $\\mu_0$ \u306e\u5024\u306f\u5b9a\u7fa9\u5024\u3068\u3057\u3066\uff08\u8aa4\u5dee\u304c\u306a\u3044\uff09 $4 \\pi \\times 10^{-7}$ \u3067\u3042\u3063\u305f\u3002<\/p>\n

\u65b0\u5b9a\u7fa9\u3067\u306f\uff0c\u96fb\u6c17\u7d20\u91cf $e = 1.602176634 \\times 10^{\u221219} \\, \\mbox{(C)}$ \u304c\u5148\u306b\u5b9a\u7fa9\u3055\u308c\uff0c1 \u79d2\u9593\u306b 1 \u96fb\u6c17\u7d20\u91cf\u304c\u6d41\u308c\u305f\u3068\u304d\u306e\u96fb\u6d41\u3092 $1.602176634 \\times 10^{\u221219}\\, \\mbox{(A)}$ \u3068\u5b9a\u7fa9\u3055\u308c\u308b\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n