Consider the following circuit: Vs R₁ Vx ww C'₁ R2 Where Vs = 3.3 cos(2000t-10) VR:=2202 R2 = 1002,L=1mH, Ci = 22 nF, C2 = 47 nF N.B. We have been using cosine as the basis for our phasors. 1. What is the impedance of each of R, Ci, L (answer to within 1%): Z RI = +j Q Zci= +j QZL= +jQ 心 2. Complete the following KCL for node Vo, assuming current flowing out of the node is positive (answer to within 1%): 0= +j )+Vo/ +j0)+Vo/(0+j 回回回 3. Hence or otherwise solve for Vo in phasor form (answer to within 1% amplitude and 5 degrees of phase): Vo = ° V 回 4. Convert this phasor to a time domain expression for Vo(t) (answer to within 1% amplitude and 5 degrees of phase): Vo(t) = cos( t+ Vo 1
Consider the following circuit: Vs R₁ Vx ww C'₁ R2 Where Vs = 3.3 cos(2000t-10) VR:=2202 R2 = 1002,L=1mH, Ci = 22 nF, C2 = 47 nF N.B. We have been using cosine as the basis for our phasors. 1. What is the impedance of each of R, Ci, L (answer to within 1%): Z RI = +j Q Zci= +j QZL= +jQ 心 2. Complete the following KCL for node Vo, assuming current flowing out of the node is positive (answer to within 1%): 0= +j )+Vo/ +j0)+Vo/(0+j 回回回 3. Hence or otherwise solve for Vo in phasor form (answer to within 1% amplitude and 5 degrees of phase): Vo = ° V 回 4. Convert this phasor to a time domain expression for Vo(t) (answer to within 1% amplitude and 5 degrees of phase): Vo(t) = cos( t+ Vo 1
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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Question

Transcribed Image Text:Consider the following circuit:
Vs
R₁
Vx
ww
C'₁
R2
Where Vs = 3.3 cos(2000t-10) VR:=2202 R2 = 1002,L=1mH, Ci = 22 nF, C2 = 47 nF
N.B. We have been using cosine as the basis for our phasors.
1. What is the impedance of each of R, Ci, L (answer to within 1%):
Z RI =
+j
Q Zci=
+j
QZL=
+jQ
心
2. Complete the following KCL for node Vo, assuming current flowing out of the node is positive (answer to within 1%):
0=
+j
)+Vo/
+j0)+Vo/(0+j
回回回
3. Hence or otherwise solve for Vo in phasor form (answer to within 1% amplitude and 5 degrees of phase):
Vo =
° V
回
4. Convert this phasor to a time domain expression for Vo(t) (answer to within 1% amplitude and 5 degrees of phase):
Vo(t) =
cos(
t+
Vo
1
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