Vgen 10 V 109 F 3 ΚΩ 10³ H 1 kn Vout 3. In the circuit shown the generator voltage is given by, Vgen = sin wt w = 106 Hz a. Draw the effective circuits for AC and for DC. b. The output voltage can be written as V (1) = A + Bcos (@ot+) Using phasor analysis, find A, B and the phase in degrees. Note: The algebra is greatly simplified by noting that when w = 106 Hz, wL = 1/wC = R = 1 kn. c. Find the RMS power dissipated in the 1 k resistor.

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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Vgen
10 V
109 F
3 ΚΩ
10³ H
1 ΚΩ
Vout
3. In the circuit shown the generator voltage is given by,
Vgen = sin wt
w = 106 Hz
a. Draw the effective circuits for AC and for DC.
b. The output voltage can be written as V
(t)= A + Bcos (@ot+o)
Using phasor analysis, find A, B and the phase in degrees.
Note: The algebra is greatly simplified by noting that when
w = 106 Hz, wL = 1/wC = R = 1 kn.
c. Find the RMS power dissipated in the 1 k resistor.
Transcribed Image Text:Vgen 10 V 109 F 3 ΚΩ 10³ H 1 ΚΩ Vout 3. In the circuit shown the generator voltage is given by, Vgen = sin wt w = 106 Hz a. Draw the effective circuits for AC and for DC. b. The output voltage can be written as V (t)= A + Bcos (@ot+o) Using phasor analysis, find A, B and the phase in degrees. Note: The algebra is greatly simplified by noting that when w = 106 Hz, wL = 1/wC = R = 1 kn. c. Find the RMS power dissipated in the 1 k resistor.
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