$BBh(B 5 $B2s(B $B2sO)$N@\B3$HFC@-(B(3)

$BK\F|$NFbMF(B

5-1. $B=IBj$N2rEz(B

$BLdBj(B

  1. $Bh $B%Q%i%a!<%?$r;HMQ$7!"(B h1 2=0, h2 2=$B!g(B $B$H6a;w$7$J$5$$!#(B
  2. $B5a$a$?EE05MxF@$,!"
  3. RE
  4. h2 1

$B%R%s%H(B1

$B$3$N2sO)$NEy2A2sO)$O$D$.$N$h$&$K$J$j$^$9!#(B

$B%R%s%H(B2

RE $B$KN.$l$kEEN.$O(B (1+h2 1)IB $B$K$J$k$N$G!"(BV1$B$H(B IB $B$N4X78$O

V_1 = h_{1 1}I_B+( 1 + h_{2 1})I_B R_E
I_B = frac{1}{h_{1 1}+(1 + h_{2 1})R_E}V_1

$B2rEz(B

V2$B$OIB $B$GI=$9$3$H$,$G$-$^$9!#(B

V_2 = R_L frac{R_C}{R_C + R_L}h_{2 1} I_B

$B=>$C$F!"%R%s%H(B2 $B$G5a$a$?(B IB $B$rBeF~$9(B $B$k$HEE05MxF@$,5a$^$j$^$9!#(B

V_2 = R_L frac{R_C}{R_C + R_L}h_{2 1} frac{1}{h_{1 1}+(1 + h_{2 1})R_E}V_1
A_v = frac{R_L R_C}{R_C + R_L}frac{h_{2 1}}{h_{1 1}+(1 + h_{2 1})R_E}

RE$B$H$N4X78(B

$BEE05MxF@$O$;$^$9!#(B

A_v = frac{R_L R_C}{R_C + R_L}frac{h_{2 1}}{h_{1 1}}frac{1}{1 + frac{1 + h_{2 1}}{h_{1 1}} R_E}

$B=>$C$F!"(BRE $B$,(B h1 1/(1 + h2 1) $B$KBP$7$F==J,>.$5$$;~$O!"EE05MxF@$O(B RE $B$H$O$[$\L54X78$J0lDj$NCM(B frac{R_L R_C}{R_C + R_L}frac{h_{2 1}}{h_{1 1}} $B$K$J$j$^$9!#(B

$B0lJ}!"(BRE $B$,(B h1 1/(1 + h2 1) $B$KBP$7$F==J,Bg$-$$;~$O!"EE05MxF@$O

A_v simeq frac{R_L R_C}{R_C + R_L}frac{h_{2 1}}{h_{1 1}}frac{1}{ frac{1 + h_{2 1}}{h_{1 1}} R_E}
~ = frac{R_L R_C}{R_C + R_L}frac{h_{2 1}}{1 + h_{2 1}}frac{1}{R_E}

$B$D$^$j(B RE $B$KH?HfNc$7$^$9!#(B

h2 1$B$H$N4X78(B

$BEE05MxF@$O$;$^$9!#(B

A_v = frac{R_L R_C}{R_C + R_L}frac{1}{R_E}frac{1}{LRparen{ 1 + frac{h_{1 1}}{R_E}}frac{1}{h_{2 1}} + 1}

$B=>$C$F!"(B h2 1 $B$,(B 1 + h1 1/RE $B$h$j==J,>.$5$$;~$O

A_v simeq frac{R_L R_C}{R_C + R_L}frac{1}{R_E}frac{1}{LRparen{1 + frac{h_{1 1}}{R_E}}frac{1}{h_{2 1}}}
~ = frac{R_L R_C}{R_C + R_L}frac{1}{R_E}frac{h_{2 1}}{h_{1 1}+R_E}

$B=>$C$F!"(B h2 1$B$KHfNc$7$^$9!#(B $B0lJ}!"(B h2 1 $B$,(B 1 + h1 1/RE $B$h$j==J,Bg$-$$;~$O!":G8e$NJ,?tItJ,$O$[$\(B 1 $B$K$J$k$N$G!"EE05MxF@$O

A_v simeq frac{R_L R_C}{R_C + R_L}frac{1}{R_E}

$B$3$A$i$O(B h2 1 $B$KL54X78$J0lDj$NCM$K$J$j$^$9!#(B

5-2. $B

$B:GBgEE05$KBP$7$F(B 1/$B"e(B2 $BG\(B (-3dB) $B$H$J$k<~GH?t$r(B$B$B$H8@(B $B$$$^$9!#(B $B:#$^$G5a$a$?EE05MxF@$N<0$K$D$$$F

1

$B$3$N2sO)$G$OEE05MxF@$O(B 1 $B$G!"EEN.MxF@$,

frac{1}{1 + j omega C R_L} = frac{1}{1 + j frac{omega}{omega_0}} ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ LRparen{ omega_0 = frac{1}{C R_L} }

$B$3$N<0$K$D$$$F

frac{1}{1+j frac{omega}{omega_0}} = frac{ 1 - j frac{ omega }{omega_0}}{1^2 + LRparen{frac{omega}{omega_0}}^2}
LRbar{frac{1}{1 + j frac{omega}{omega_0}}} = frac{1}{1 + LRparen{frac{omega}{omega_0}}^2}sqrt{1 + LRparen{frac{omega}{omega_0}}^2}
~ = frac{1}{sqrt{1 + LRparen{frac{omega}{omega_0}}^2}}

$B

frac{1}{sqrt{2}} = frac{1}{sqrt{1 + LRparen{frac{omega}{omega_0}}^2}}
1 + LRparen{frac{omega}{omega_0}}^2}= 2
LRparen{frac{omega}{omega_0}}^2} = 1
therefore omega = omega_0

$B=>$C$F!"$B&X(B0/2$B&P(B $B$H$J$j$^$9!#(B

2

$B$3$N2sO)$NEE05MxF@$O

frac{1}{1 + frac{1}{j omega C R_L} } = frac{1}{1 + frac{1}{j frac{omega}{omega_0}}} ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ LRparen{ omega_0 = frac{1}{C R_L} }

$B$3$N<0$K$D$$$F

frac{1}{1+frac{1}{j frac{omega}{omega_0}}} = frac{ j frac{ omega }{omega_0}}{1 + j frac{omega}{omega_0}}
~ = frac{ j frac{ omega }{ omega_0} LRparen{ 1 - j frac{omega}{omega_0}}}{1^2 + LRparen{frac{omega}{omega_0}}^2}
~ = frac{LRparen{frac{omega}{omega_0}}^2 - j frac{omega}{omega_0}} {1^2 + LRparen{frac{omega}{omega_0}}^2}
LRbar{frac{1}{1 + frac{1}{j frac{omega}{omega_0}}} } = frac{frac{omega}{omega_0}}{1 + LRparen{frac{omega}{omega_0}}^2}sqrt{LRparen{frac{omega}{omega_0}}^2 + 1}
~ = frac{omega}{omega_0}frac{1}{sqrt{1 + LRparen{frac{omega}{omega_0}}^2}}

$B

frac{1}{sqrt{2}} = frac{omega}{omega_0} frac{1}{sqrt{1 + LRparen{frac{omega}{omega_0}}^2}}
1 + LRparen{frac{omega}{omega_0}}^2}= 2 LRparen{frac{omega}{omega_0}}^2}
1 = LRparen{frac{omega}{omega_0}}^2}
therefore omega = omega_0

$B=>$C$F!"$B&X(B0/2$B&P(B $B$H$J$j$^$9!#(B

$B$^$H$a(B

$B$3$l$^$Ge$2$F$-$?2sO)$HFC@-$r$^$H$a$k$H

$B2sO)(B$BMxF@(B$B$B%0%i%U(B
A_c = frac{1}{1 + j omega C R_L} f_0 = frac{omega_0}{2 pi} = frac{1}{2 pi C R_L}
A_v = frac{1}{1 + frac{1}{j omega C R_L}} f_0 = frac{omega_0}{2 pi} = frac{1}{2 pi C R_L}

$B$J$*!"%3%s%G%s%5$r4^$`2sO)$NMxF@$N<0$NJ,@O$H!"=IBj$K$"$C$?5"4TDq93$HMx(B $BF@$N4X78<0$NJ,@O$OF1$8$K$J$j$^$9$,!"%0%i%U$N7A$OF1$8$G$O$"$j$^$;$s!#(B $BA0e$K%W%m%C%H$9$k$H

gnuplot $B$G$N:n?^(B

set logscale xy
plot [0.01:100] abs(1/(1+{0,1}*x)), 1/(1+x), 1/x, 1

5-3. mail protected]$K$h$k@\B3(B

$B<+8J%$%s%@%/%?%s%9$N@-
$B2sO)(B$BMxF@(B$B$B%0%i%U(B
A_c = frac{1}{1 + frac{R_L}{j omega L}} f_0 = frac{omega_0}{2 pi} = frac{R_L}{2 pi L}
A_v = frac{1}{1 + frac{j omega L}{R_L}} f_0 = frac{omega_0}{2 pi} = frac{R_L}{2 pi L}

mail protected]$NEy2A2sO)(B

n:1 $B$NM}A[[email protected]$O(B X$BB&$H(BY$BB&$NEE05!"EE(B $BN.$N4X78$O(B nVX = VY, IX = nIY, $B$H$J$j$^$9!#(B $BC"$7!"[email protected]$OFs$D$N%3%$%k$h$j$J$C$F$$$k$N$G!"<+8J%$%s%@%/%?%s%9$,B8:_(B $B$7$^$9!#(B $B<+8J%$%s%@%/%?%s%9$r9MN8$7$?Ey2A2sO)$O

$BEy2A2sO)$K$h$k7W;;Nc(B

$B

$B$3$3$G!"[email protected]$N:8$r(BX$B!"(B $B1&$r(BY$B$H8F$V$H

V_Y = frac{1}{n}V_X , I_Y = n I_X
V_1 = V_X, I_1 = frac{V_1}{j omega L} + I_X , V_2 = V_Y, I_2 = I_Y, V_2 = I_2 R_L

$B:8$N2sO)$r1&$N2sO)$KKd$a9~$s$@>l9g(B

VY$B!"(B IY $B$N4X78$rD4$Y$^$9!#(B VY = (1/n)V1 $B$G$9$,!"(BIY $B$O

I_Y = n I_X
~ = n LRparen{I_1 - frac{V_1}{j omega L}}
~ = n I_1 - frac{1}{n} V_1 frac{n^2}{j omega L}

$B$D$^$j(B mail protected]$rL/n2 $B$,@\B3$7$F$$$k$N$HEy2A$K$J$j$^$9!#(B

5-4. $B=IBj(B

$B!V:8$N2sO)$r1&$N2sO)$KKd$a9~$s$@>l9g!W$HF1MM$K!V1&$N2sO)$r:8$N2sO)(B $B$KKd$a9~$s$@>l9g!W$N2sO)$r5a$a$J$5$$!#(B ($B%R%s%H(B) VX$B!"(B IX $B$N4X78$r1&B&$N2sO)$N<0$+$iF3$/!#(B

$B:dK\D>;V(B <[email protected]>
$BEl5~EE5!Bg3X9)3XIt>pJsDL?.9)3X2J(B