Consider the following circuit. + - 1.2 ΚΩ ig (1) vo ΣΕ ΚΩ € 50 nF 200 mH a) [6 pts] The frequency of the source current in the circuit is adjusted until vo is in phase with ig. What is the value of o in radians per second? (Hint: if vo is in phase with ig, the phase of total impedance must be zero (Ztot = vol ig), which means the phase of total admittance is zero. It will be easy to work with admittance in this question because the components are in parallel.) b) [2 pts] What is the total impedance at the frequency found in (a)? c) [2 pts] Ifig=2.5 cosoot mA (where o is the frequency found in [a]), what is the steady-state expression for vo?

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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Consider the following circuit.
+
- 1.2 ΚΩ
ig (1) vo
ΣΕ ΚΩ
€ 50 nF
200 mH
a) [6 pts] The frequency of the source current in the circuit is adjusted until vo is in phase with ig. What is
the value of o in radians per second? (Hint: if vo is in phase with ig, the phase of total impedance must be
zero (Ztot = vol ig), which means the phase of total admittance is zero. It will be easy to work with
admittance in this question because the components are in parallel.)
b) [2 pts] What is the total impedance at the frequency found in (a)?
c) [2 pts] Ifig=2.5 cosoot mA (where o is the frequency found in [a]), what is the steady-state expression
for vo?
Transcribed Image Text:Consider the following circuit. + - 1.2 ΚΩ ig (1) vo ΣΕ ΚΩ € 50 nF 200 mH a) [6 pts] The frequency of the source current in the circuit is adjusted until vo is in phase with ig. What is the value of o in radians per second? (Hint: if vo is in phase with ig, the phase of total impedance must be zero (Ztot = vol ig), which means the phase of total admittance is zero. It will be easy to work with admittance in this question because the components are in parallel.) b) [2 pts] What is the total impedance at the frequency found in (a)? c) [2 pts] Ifig=2.5 cosoot mA (where o is the frequency found in [a]), what is the steady-state expression for vo?
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