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Èù¾®ÅÅή¥ë¡¼¥×¤Îºî¤ëÅż§ÇÈ

¸òήÅÅή $ I e^{j\omega t}$ ¤Îή¤ì¤ëÅÅή¥ë¡¼¥×¤âÅż§ÇȤòȯÀ¸¤¹¤ë¡£ ¤³¤ÎÅÅή¤Îºî¤ë¥Ù¥¯¥È¥ë¥Ý¥Æ¥ó¥·¥ã¥ë¤Ï¡¢ ¥¹¥«¥é¡¼ÀþÀÑʬ¤Î¥¹¥È¡¼¥¯¥¹¤ÎÄêÍý¡ÊStokes theorem of line integral of scalar field¡Ë $ \oint_C\phi\emph{dr}=\int\emph{dS}\times\mathop{\mathop{\emph ¢¦}\nolimits }\nolimits \phi$ ¤òÍøÍѤ·¤Æ¡¢ ¼¡¼°¤Î¤è¤¦¤Ë¤Ê¤ë¡£

$\displaystyle \emph A$ $\displaystyle =$ $\displaystyle \oint_C\frac{\mu_0I}{4\pi}\emph{dr'}
\frac{e^{j\omega(t-\vert\emp...
...rac{e^{j\omega(t-\vert\emph r-\emph{r'}\vert/c)}}
{\vert\emph r-\emph{r'}\vert}$  
  $\displaystyle \approx$ $\displaystyle -\frac{\mu_0I}{4\pi}\int_S\emph{dS'}\times\mathop{\mathop{\emph ¢...
...\times
\mathop{\mathop{\emph ¢¦}\nolimits }\nolimits \frac{e^{j\omega(t-r/c)}}r$  
  $\displaystyle =$ $\displaystyle \frac{\mu_0}{4\pi}e^{j\omega(t-r/c)}\left(1+\frac{j\omega r}
c\right)\frac{\emph m\times\emph r}{r^3}$ (7.12)

¤³¤ì¤é¤«¤é¡¢Ä¾¤Á¤ËÅžì¤È¼§¾ì¤¬·×»»¤Ç¤­¤ë¡£

$\displaystyle \emph E$ $\displaystyle =$ $\displaystyle -\D{\emph A}t$  
  $\displaystyle =$ $\displaystyle -j\omega\frac{\mu_0}{4\pi}\left(1+\frac{j\omega r}c\right)
\frac{\emph m\times\emph r}{r^3}e^{j\omega(t-r/c)}$ (7.13)
$\displaystyle \emph B$ $\displaystyle =$ $\displaystyle \mathop{\mathop{\emph ¢¦}\nolimits \times}\nolimits \emph A$  
  $\displaystyle =$ $\displaystyle \frac{\mu_0}{4\pi}\left[\left(1+\frac{j\omega r}c\right)
\frac{3\...
...2}\frac{\emph r(\emph m
\cdot\emph r)-r^2\emph m}{r^3}\right]e^{j\omega(t-r/c)}$ (7.14)

º£Å٤ϼ§¾ì B ¤ÎÊý¤Ë¡¢ $ 1/$µ÷Î¥$ ^3$¡¢ $ 1/$µ÷Î¥$ ^2$¡¢ $ 1/$µ÷Î¥$ ^1$ ¤ËÈæÎ㤷¤Æ¸º¿ê¤¹¤ë¹à¤Î¥°¥ë¡¼¥×¤¬¤¢¤ë¡£ ¤½¤ì¤¾¤ì¡¢¥ë¡¼¥×¤Îºî¤ëÀż§¾ì¡¢¶áÀܾ졢Åż§ÇȤËÂбþ¤·¤Æ¤¤¤ë¡£ Åžì E ¤Ë¸½¤ï¤ì¤Æ¤¤¤ë $ 1/$µ÷Î¥$ ^2$¡¢ $ 1/$µ÷Î¥$ ^1$ ¤Î¹à¤Î¥°¥ë¡¼¥×¤Ï¶áÀܾ졢Åż§ÇȤËÂбþ¤·¤Æ¤¤¤ë¡£


next up previous contents index
Next: ´Ø¿ôÎå¿¶¤Î²ò Up: Åż§ÇȤÎȯÀ¸ Previous: Åŵ¤Áж˻Ҥκî¤ëÅż§ÇÈ   Contents   Index
Yoichi OKABE 2008-03-29