For the circuit shown below, let vS(t) = 575 cos(2?60t + 30o), R1 = 35 ?, R2 = 53 ?, L = 76 mH, C1 = 117 ?F, C2 = 106 ?F
(a) Find impedances ZL, ZC1, ZC2, and phasor VS for vS(t).
(b) Find the equivalent impedance Za of parallel combination of ZC2 and ZR2 + ZL.
(c) Find the total impedance Zt seen from the voltage source.
(d) Find the phasor for the current I.
(e) Find the phasor for Vo across the capacitor C2.
ZL = j?L = j28.6513 ?
ZC1 = 1/(j?C1) = -j22.6716 ?, ZC2 = 1/(j?C2) = -j25.0244 ?
Za = (R2 + ZL) || ZC2 = 11.7604 - j25.8292 ?
Zt = R1 + ZC1 + Za = 46.7604 - j48.5008 ?
I = Vs/Zt = 2.058 + j8.283 A
Vo = Za×I = 238.1454 + j44.2542 = 242.2224?105.2711o V
vo(t) = 242.2224 cos(2?60t + 105.2711o) V
R1=35;R2=53;L=76e-3;C1=117e-6;C2=106e-6;f=60;
w=2*pi*f
ZL=j*w*L
ZC1=1/(j*w*C1)
ZC2=1/(j*w*C2)
Vs=P2Rd(575,30)
Za=P([R2+ZL,ZC2])
Zt=R1+ZC1+Za
I=Vs/Zt
Ip=R2P(I)
Vo=Za*I
Vop=R2P(Vo)
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