a 1.50 µF capacitor, a 6.00 mH induct- Itage supply with maximum voltage of uency of the AC voltage supply for the

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Please help answer question a, question 1, question 2, and question 3. Thank you.
Challenge Problem 7
A LRC series circuit consists of a 1.50 µF capacitor, a 6.00 mH inductor, and a 71.0 N resistor that
are connected across an AC voltage supply with maximum voltage of Vmax = 13.0 V.
(a) What must be the frequency of the AC voltage supply for the average power delivered to the
circuit to be÷V,rms!rms?
Transcribed Image Text:Challenge Problem 7 A LRC series circuit consists of a 1.50 µF capacitor, a 6.00 mH inductor, and a 71.0 N resistor that are connected across an AC voltage supply with maximum voltage of Vmax = 13.0 V. (a) What must be the frequency of the AC voltage supply for the average power delivered to the circuit to be÷V,rms!rms?
1.
Answer part (a) of the problem. Show your work.
2.
It can be shown that the voltage from the AC source is described by V =
Vmax Cos (wt + 4) where o is the phase angle found as part of your work in part (a). The
voltage across individual circuit elements is the same as described in Lecture 14. Consider
all this, what is the energy stored in the inductor at the instant that the instantaneous
source voltage is zero for the first time? Hint: make sure to convert your phase angle to
radians when solving for time if you are using angular frequency.
3.
Considering the information in Question 2 above, sketch a graph that shows
four curves, V,Vc,V1,and VR all as functions of time. Make your horizontal time axis long
enough to show two complete oscillations.
Transcribed Image Text:1. Answer part (a) of the problem. Show your work. 2. It can be shown that the voltage from the AC source is described by V = Vmax Cos (wt + 4) where o is the phase angle found as part of your work in part (a). The voltage across individual circuit elements is the same as described in Lecture 14. Consider all this, what is the energy stored in the inductor at the instant that the instantaneous source voltage is zero for the first time? Hint: make sure to convert your phase angle to radians when solving for time if you are using angular frequency. 3. Considering the information in Question 2 above, sketch a graph that shows four curves, V,Vc,V1,and VR all as functions of time. Make your horizontal time axis long enough to show two complete oscillations.
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