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$B$3$N5-;v$N85(B : $B1i=,$N1 $BLdBj$r2r$/$?$a$NJ*M}$N652J=q(B ($BEE<'5$(B)
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5. $B<'B+L)EY(B($B%"%s%Z!<%k$NK!B'(B)

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5.1 $B<'@P$NNO$r@8$`$b$N(B

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$B$J$<$3$N$h$&$J@-l$rH/@8$5$;$k!W(B $B$H@bL@$7$^$7$?$,!"$3$N$3$H$,@5$7$/$J$$$N$G$9!#(B $B@5$7$/$O(B $B!V$3$N@$$NCf$K<'2Y$H$$$&$b$N$OB8:_$;$:!"EE2Y$,6u4VCf$r0\F0$7$?$H$-$K<'>l(B $B$,H/@8$9$k!W$N$G$9(B 5.1$B!#(B

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$B$=$N$h$&$J:Y$+$$EEN.$G$J$/!"L\$K8+$($k$/$i$$$NHO0O$rEE2Y$,F0$$$?(B(=$BEEN.$,(B $BN.$l$?(B)$B$H$7$F$b!"$=$N<~0O$K<'>l$,H/@8$7$^$9!#(B $B$=$7$FH/@8$7$?<'>l$O!"<'@P$dEEN.$K:nMQ$7$F!"NO$rF/$+$;$k$H$$$&$o$1$G$9!#(B

$B$5$F(B $B$3$N$3$H$rF'$^$($F!"$I$l$/$i$$$NEEN.$,N.$l$?$i$I$l$/$i$$$N<'>l$,H/@8$9$k(B $B$N$+$H$$$&$3$H$r9M$($F$$$-$^$7$g$&!#(B

5.2 $BEEN.$,$"$k$H$-$N<'>l$N5a$aJ}(B1 ($B%"%s%Z!<%k$NK!B'(B)

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$B6u4VCf$K$"$kEEN.$H!"$=$N<~0O$K$G$-$k<'>l$H$N4X78$r<($9K!B'$N$3$H$r!V%"%s(B $B%Z!<%k$NK!B'!W$H8F$S$^$9!#(B $B$=$NFbMF$O!"$$$-$J$j<0$G=q$$$F$7$^$&$3$H$K$7$^$7$g$&!#$3$&$G$9!#(B

$B%"%s%Z!<%k$NK!B'!'<'>l$HEEN.$N4V$K@.$jN)$D4X78<0(B

$\displaystyle \ensuremath{\mbox{rot}}\vec{B}=\mu_0 \vec{i}
$

$B$$$-$J$j5-9f$,8=$l$F$$$^$9$,!"(B

$\displaystyle \left\{
\begin{array}{ccl}
\vec{B}& : & \text{$B<'>l(B} \\
\vec{i}& : & \text{$BEEN.L)EY(B} \\
\end{array}\right.
$

$B$H$$$&$b$N$G$9!#(B$ \vec{B}$$B$N$3$H!"652J=q$K$h$C$F$O!V<'B+L)EY!W$H8F$s$G$$$^$9!#Nr;KE*$K$O3N$+$K!V<'B+L)EY!W$HL>IU$1$i$l$?$s$G$9$,!"l!W$H8F$V$Y$-$b$N$@$H;W$$$^$9$N$G!"$3$3$G$O!V<'>l!W$H=q$$$F$*$-$^$9!#(B $ \vec{i}$$B$OC10LLL@Q$"$?$j$I$l$@$1$NEEN.$,N.$l$F$$$k$+!"$=$NNL$HJ}8~$r<($9$b$N$G$9!#(B$ \mu_0$$B$O??6u$NF)<'N(!DE,Ev$JDj?t$@$H;W$C$F7k9=$G$9!#(B

$B$5$F!"$3$N$h$&$K=q$$$F$_$?$b$N$N!"$I$&$b(B $ \ensuremath{\mbox{rot}}\vec{B}=\mu_0 \vec{i}$$B$H$$$&$N$O0UL#$,$o$+$j$K$/$$$G$9$h$M!#(B $BEE5$$N2s$K$*OC$7$7$?%,%&%9$NK!B'$N$h$&$K!"$3$N%"%s%Z!<%k$NK!B'$K$b!V@QJ,7A!W$H8F$P$l$k7A$,$"$j$^$9!#$=$A$i$K<0$rJQ7A$7$F$7$^$$$^$7$g$&!#(B

$ \displaystyle \ensuremath{\mbox{rot}}\vec{B}=\mu_0 \vec{i} $      
$\displaystyle \downarrow \qquad$      
$\displaystyle \downarrow \qquad$ ($B@QJ,7A$G=q$/$H(B)    
$\displaystyle \downarrow \qquad$      
$\displaystyle \oint_{C}\vec{B}\cdot d\vec{\ell} =$ $\displaystyle \mu_0 \int_{A} \vec{i}\cdot d\vec{S}$    

$B$H$J$C$F!"$3$N:G8e$N<0$,!V@QJ,7A$N%"%s%Z!<%k$NK!B'!W$H8F$P$l$k$b$N$G$9!#(B $B$3$N<0JQ7A$N2aDx$G$O!H%9%H!<%/%9$NDjM}!I$H$$$&?t3X$N%F%/%K%C%/$r;H$C$FJQ7A$7$^$9!#:#F|$O$d$j$^$;$s$,!"$=$l$[$IFq$7$$OC$G$O$"$j$^$;$s!#JQ7A$NESCf$K6=L#$r;}$C$??M$O!"652J=q$GJY6/$7$F$_$F$/$@$5$$!#(B

$B:#F|$N1i=,$G$O!"$3$N@QJ,7A$N%"%s%Z!<%k$NK!B'$r$I$&;H$C$FLdBj$r2r$/$+$C$F$3$H$r@bL@$7$^$9!#(B $B$5$F!">e$G$O$$$-$J$j5-9f$rF3F~$7$F$$$^$9$,!"(B$ A$$B$H$+(B$ C$$B$H$$$&$N$O(B

$\displaystyle \left(
\begin{array}{ccl}
A &:& \text{$BG$0U$NNN0h(B($BLL(B)} \\
C &:& \text{$BNN0h(B$A$$B$N<~0O(B} \\
\end{array}\right)
$

$B$G$9!#(B

$B$3$N@QJ,7A$N%"%s%Z!<%k$NK!B'$r!"%,%&%9$NK!B'$N$H$-$HF1$8$/F|K\8lLu$7$F$7$^$$$^$7$g$&!#$3$NK!B'$O!"<'>l$HEEN.$N4V$K@.$jN)$D4X78$r<($7$F$$$k$N$G$9$,!"(B

$B%"%s%Z!<%k$NK!B'$N0UL#(B($BF|K\8lLu(B?):

$\displaystyle \left(
\begin{array}{l}
\text{$\vec{B}$$B$r$e(B} \\ \tex... ...$B=$N@~$G0O$^$l$?LL$r2#@Z$k}(B\\ \text{$BEEN.$r$9$Y$FB-$7$?$b$N(B} \end{array}\right) $">

$B$H$$$&4X78$K$J$C$F$$$^$9!#(B($ \mu_0$$B$O$3$NN>JU$,%$%3!<%k$K$J$k$?$a$NDTjm9g$o$;$N?t$@$H9M$($F$b9=$$$^$;$s(B) $B<'>l$HEEN.$N4V$K$O!">o$K$I$s$J$H$-$G$b!"$3$N4X78<0$,@.$jN)$C$F$$$^$9!#(B $B$=$7$F!"(B
$ \rightarrow$ $B$3$N4X78<0$+$i!"(B($BFCDj$N>l9g$K(B) $B<'>l$r3Z$K7W;;$G$-$k!#(B
$B$H$$$&$o$1$G$9!#(B

$B$3$N@QJ,7A$N%"%s%Z!<%k$NK!B'$G$I$s$J$H$-$G$b<'>l$r5a$a$k$3$H$,$G$-$k$+$H$$$&$H!"$=$&$$$&$o$1$G$O$"$j$^$;$s!#%,%&%9$NK!B'$OFCDj$N>l9g$K8B$C$F4JC1$K7W;;$,$G$-$?!D$H$$$&$N$HF1$8$/!"%"%s%Z!<%k$NK!B'$OFCDj$N>l9g$K8B$C$F!"4JC1$K<'>l$r7W;;$9$k$3$H$,$G$-$^$9!#(B($BFCDj$N>l9g$G$J$/!"<'>l$r5a$a$?$$$H$-$O!"%S%*!&%5%P!<%k$NK!B'$r;H$$$^$9!#$=$l$K$D$$$F$O8e$N $B$5$F!"$=$l$G$O$I$s$J>l9g$K;H$($k$N$+!D$C$F$3$H$b9M$($J$,$i!"$3$N@QJ,7A$N%"%s%Z!<%k$NK!B'$N;H$$J}$r8+$F$$$-$^$7$g$&!#$3$N;H$$J}!"%,%&%9$NK!B'$N$H$-$H$[$H$s$IF1$8$G$9!#(B

$B%"%s%Z!<%k$NK!B'$NN>JU$rD/$a$F$_$k$H!":8JU$OJD$8$?6J@~>e$G@~@QJ,$r$7$J$1$l$P$J$j$^$;$s!#1&JU$O!"LL$r2#@Z$kEEN.$rB-$7;;$9$k$@$1$G$9!#$I$A$i$bF1$8$/$i$$Lq2p$K$J$j$=$&$G$9$,!D$I$A$i$+$H$$$&$H!"@~@QJ,$NJ}$,BgJQ$K$J$j$d$9$=$&$G$9!#$=$3$G%]%$%s%H$O!=!=(B



\begin{displaymath}\begin{array}{\vert c\vert}\hline $B;H$$J}(B \\ \hline \end{array}\end{displaymath} : $B@~@QJ,$7$d$9$$6J@~$r8+$D$1$k(B


$B$H$$$&$3$H$K$J$j$^$9!#(B

$B$I$s$J6J@~$@$H@~@QJ,$7$d$9$$$+$H$$$&$H!"<'>l$NBg$-$5(B$ \vert\vec{B}\vert$$B$,Ey$7$/$J$k$h$&$J@~>e$G$9!#$=$&$G$J$1$l$P!"@QJ,$9$k$=$l$>$l$N0LCV$K$h$C$F(B$ \vec{B}$$B$NBg$-$5$dJ}8~$r0U<1$7$FB-$7;;$7$J$$$H$$$1$^$;$s!#$@$1$I;O$a$+$i<'>l$NBg$-$5$,Ey$7$/$J$k$h$&$J@~$G@QJ,$9$k$3$H$K$7$F$*$1$P(B$ \vert\vec{B}\vert$$B$r@QJ,$N30$K=P$9$3$H$,$G$-$^$9$M!#(B

$B$=$N$?$a$K$O$^$:(B



\begin{displaymath}\begin{array}{\vert c\vert}\hline $B;H$$J}(B \\ \hline \end{array}\end{displaymath} : $B@~@QJ,$7$d$9$$6J@~$r8+$D$1$k(B
  1. $B<'>l$N$*$h$=$N7A$rM=A[$9$k!#(B


$B$H$$$&$3$H$,I,MW$G$9$M!#(B $B$=$NM=A[$,$G$-$?$i!"(B


\begin{displaymath}\begin{array}{\vert c\vert}\hline $B;H$$J}(B \\ \hline \end{array}\end{displaymath} : $B@~@QJ,$7$d$9$$6J@~$r8+$D$1$k(B
  1. $B<'>l$N$*$h$=$N7A$rM=A[$9$k!#(B
  2. $B<'>l$NBg$-$5$,F1$8$G$"$k$h$&$J6J@~$G(B1$B<~$5$;$k!#$=$N$H$-EEN.$,B8:_$9$kNN0h$,@~$G0O$^$l$k$h$&$K$9$k!#(B $B$=$N0O$^$l$?ItJ,$,NN0h(B$ A$$B!#(B
  3. $B%"%s%Z!<%k$NK!B'$rE,MQ$7$F!"(B$ \vert\vec{B}\vert$$B$r5a$a$k!#(B
    $B!!(B($ \vec{B}$$B$NJ}8~$K$D$$$F$OM=A[$9$k(B)


$B$H$$$&N.$l$K$J$j$^$9!#(B

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$B$=$l$G$O!"OC$rJ9$$$F$$$k$@$1$G$O$h$/$o$+$i$J$$$G$7$g$&$+$i!"6qBNE*$KLdBj(B $B$r2r$$$F$$$C$F$_$^$7$g$&!#(B

5.3 *$BLdBjN}=,(B

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(1) $B$=$NEEN.$N8~$-$r(B$ z$$B<4@5$NJ}8~$H$7$F!"F3@~$N2s$j$K$G$-$k<'>l$NMM;R$r?^(B $B<($;$h!#(B

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$B!v!v(B
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$B!!(B
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$BC10LD9$5$"$?$j$N4,$-?t$,(B$ n$$B2s$G$"$k%3%$%k$KEEN.(B$ I$$B$rN.$7$?!#$3$N%3%$%k$OL58B$KD9$$$H8+$J$;$k$H$7$F!"%3%$%kFb$N<'>l(B($B<'B+L)EY(B)$B$N6/$5(B$ \vert\vec{B}\vert$$B$r5a$a$h!#(B

$B!v!v(B
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$B%"%s%Z!<%k$NK!B'$r;H$C$F<'>l$r5a$a$kE57?E*$J%Q%?!<%s$N0l$D$G$9$,!"=i$a$F(B $B$3$NLdBj$KD)@o$9$k?M$O!"$I$s$J6J@~$GEEN.$r0O$a$P$$$$$N$+$o$+$j$K$/$$$H;W(B $B$$$^$9!#(B

$B<'>l$N@~@QJ,$,7W;;$7$d$9$$@~$rA*$Y$P$$$$$o$1$G$9!#$J$N$G<'>l$NBg$-$5$,(B $B0lDj$K$J$k@~$@$1$G$J$/!"@~$H<'>l$N8~$-$,D>8r$7$F$$$k$h$&$J@~J,$b!"@QJ,(B $BNN0h$K2C$($F$7$^$$$^$7$g$&!#@~$H<'>l$N8~$-$,D>8r$7$F$$$k$H$$$&$3$H$O!"(B $B@~@QJ,(B $ \int \vec{B}\cdot d\vec{\ell}$$B$K$*$$$F!"(B$ \vec{B}$$B$H(B $ d\vec{\ell}$ $B$,D>8r$7$F$$$k$H$$$&$3$H!#Fb@Q$,(B0$B$K$J$j$^$9!#!D(B0$B$r@QJ,$7$F$b!"(B0$B$N$^$^(B $B$@$+$i!"@QJ,$7$d$9$$$G$9$M!#(B

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(2) $B1_Cl$NCf?4$+$i$N5wN%$r(B$ r$$B$H$7$F!"$3$NEEN.$K$h$C$F@8$8$k<'>l(B($B<'B+L)EY(B) $B$NBg$-$5(B$ \vert\vec{B}\vert$$B$r(B$ r$$B$N4X?t$H$7$FI=$;!#(B

(3) $B2#<4$K(B$ r$$B$r$H$C$F!"(B$ \vert\vec{B}\vert$$B$N%0%i%U$rIA$1!#(B

$B!v!v(B
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$BF3@~$OL58B$KD9$$1_Cl>u$K$J$C$F$$$F!"H>7B(B$ 0\sim r_1$$B$N4V$K$OEEN.$,(B$ +$$BJ}8~(B $B$KN.$l!"H>7B(B $ r_1\sim r_2$$B$N4V$K$OEEN.$,(B$ -$$BJ}8~$KN.$l$F$$$k$H$9$k!#(B $B$J$*!"EEN.$N(B$ +$$BJ}8~$r(B$ z$$B<4@5$NJ}8~$H$7!"F3@~$NCf?4<4$N0LCV$O(B $ (x,y)=(0,0)$$B$H$9$k!#(B $BF3@~$rN.$l$kEEN.$NBg$-$5$O(B$ I$$B$H$7!"$5$i$KF3@~Fb$O0lMM$KEEN.$,N.$l$k$b$N(B $B$H$7$F!"0J2<$NLd$KEz$($h!#(B

(1) $ x$-$ y$$BJ?LL$K$*$1$k<'>l$NBg$-$5(B$ \vert\vec{B}\vert$$B$r86E@$+$i$N5wN%(B$ r$$B$rJQ?t(B $B$K$7$FI=$;!#(B( $ r=\sqrt{x^{2}+y^{2}}$)

(2) (1)$B$G5a$a$?7k2L$r2#<4$K(B$ r$$B!"=D<4$K(B$ \vert\vec{B}\vert$$B$r$H$C$F%0%i%U$KIA$1!#(B

\includegraphics{fig-rep-4.eps}

$BLdBj(B26 ($B<'>l$HEEN.$N4X78<0(B)

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$\displaystyle \vert\vec{B}(r)\vert=\frac{\mu_{0} i}{4\pi}\left (\frac{3}{2}r -\frac{r^{2}}{R}\right )
$

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(3) $B2#<4$K(B$ r$$B$r$H$C$F!"(B $ \vert\vec{B}(r)\vert$$B$N%0%i%U$rIA$1!#(B

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$\displaystyle i(r)=i_{0}\left ( A-4\frac{r^{2}}{R^{2}} \right )
$

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(4) $B$3$NF3@~$N30B&(B($ r>R$)$B$K<'>l$,H/@8$7$J$$$H$-!"EEN.L)EY$,(B0$B$NE@$h$jFbB&$H30B&$NItJ,$NF3@~$KN.$l$kEEN.$O$I$&$J$C$F$$$k$+@bL@$;$h!#(B



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