For the circuit shown below, let vS(t) = 545 cos(2?60t - 60o), R1 = 20 ?, R2 = 33 ?, L1 =63 mH, L2 = 72 mH, C = 128 ?F
(a) Find impedances ZL1, ZL2, and ZC. (b) Find the equivalent impedance Za of parallel combination of ZL2 and ZR2 + ZC. (c) Find the total impedance Zt seen from the voltage source.
ZL1 = j?L1 = j23.7504 ?, ZL2 = j?L2 = j27.1434 ?
ZC = 1/(j?C) = -j20.7233 ?
Za = (R2 + ZC) || (ZL2) = 21.5119 + j22.9583 ?
Zt = R1 + ZL1 + Za = 41.5119 + j46.7087 ?
3 © 2018 Cengage Learning®. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
I = Vs/Zt = - 2.7488 - j8.277 A
Vo = Za×I = 130.8937 - j241.1603 = 274.3928?-61.5084o V
vo(t) = 274.3928 cos(2?60t - 61.5084o) V
I1 = Vo/ ZL2 = -8.8847 - j4.8223 = 10.109?-151.5084o A
I2 = Vo/(R2 + ZC) = 6.1359 - j3.4547 = 7.0416?-29.3804o A
R1=20;R2=33;L1=63e-3;L2=72e-3;C=128e-6;f=60;
w=2*pi*f
ZL1=j*w*L1
ZL2=j*w*L2
ZC=1/(j*w*C)
Vs=P2Rd(545,-60)
Za=P([R2+ZC,ZL2])
Zt=R1+ZL1+Za
I=Vs/Zt
Ip=R2P(I)
Vo=Za*I
Vop=R2P(Vo)
I1=Vo/ZL2
I1p=R2P(I1)
I2=Vo/(R2+ZC)
I2p=R2P(I2)
You might also like to view...
Which of the following would provide higher valve seating force?
A. 30 degree cut valve B. 45 degree cut valve C. solid lifter valve trains D. roller type cam followers
The class Arachnida includes
A. Mites B. Spiders C. Scorpions D. Ticks E. All of the above
You are sawing a piece of material with a varying cross section. The best blade set for this application is:
A) Negative B) Wavy C) Raker D) Straight
What types of government projects would be so large as to require firms to form a joint venture in order to bid on them?
What will be an ideal response?