V(t) = 10 cos(100t) 10 Ω ww →i(t) 2 mH m 10 mF gure 1: Use the circuit in Figure 1 to answer the following questions: Transform the circuit to the frequency domain. What are the frequency domain quantities, V, ZR, ZL and Zc? Apply KVL to determine the phasor current, I, flowing in the series circuit. Determine the phasor capacitor voltage, Vc.

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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V(t) = 10 cos(100t)
10 Q2
ww
M
→i (t)
2 mH
m
10 mF
Figure 1:
1. Use the circuit in Figure 1 to answer the following questions:
a) Transform the circuit to the frequency domain. What are the frequency domain
quantities, V, ZR, ZL and Zc?
b) Apply KVL to determine the phasor current, I, flowing in the series circuit.
c) Determine the phasor capacitor voltage, Vc.
d) Determine the phasor inductor voltage, VL.
e) Which variable is leading - IL or V₁? By what angle?
f) Transform the current and voltage back to the time domain to get i(t) and vc(t) and
VL(t).
Transcribed Image Text:V(t) = 10 cos(100t) 10 Q2 ww M →i (t) 2 mH m 10 mF Figure 1: 1. Use the circuit in Figure 1 to answer the following questions: a) Transform the circuit to the frequency domain. What are the frequency domain quantities, V, ZR, ZL and Zc? b) Apply KVL to determine the phasor current, I, flowing in the series circuit. c) Determine the phasor capacitor voltage, Vc. d) Determine the phasor inductor voltage, VL. e) Which variable is leading - IL or V₁? By what angle? f) Transform the current and voltage back to the time domain to get i(t) and vc(t) and VL(t).
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d) Determine the phasor inductor voltage, VL.

e) Which variable is leading - IL or V₁? By what angle?

f) Transform the current and voltage back to the time domain to get i(t) and vc(t) and VL(t).

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