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a.Find the mathematical expression for the transient behavior of yC, iC, and yR if the switch is closed at t _ 0 s. b. Plot the waveform of yC versus the time constant of the network. c. Plot the waveform of yC versus time. d. Plot the waveforms of iC and yR versus the time constant of the network. e. What is the value of yC at t _ 20 ms? f. On a practical basis, how much time must pass before we can assume that the charging phase has passed? g. When the charging phase has passed, how much charge is sitting on the plates? h. If the capacitor has a leakage resistance of 10,000 M_, what is the initial leakage current? Once the capacitor is separated from the circuit, how long will it take to totally discharge, assuming a linear (unchanging) discharge rate? 8 kl c4 µF c FIG. 35 Transient network for Example 6.

a.Find the mathematical expression for the transient behavior of yC, iC, and yR if the switch is closed at t _ 0 s. b. Plot the waveform of yC versus the time constant of the network. c. Plot the waveform of yC versus time. d. Plot the waveforms of iC and yR versus the time constant of the network. e. What is the value of yC at t _ 20 ms? f. On a practical basis, how much time must pass before we can assume that the charging phase has passed? g. When the charging phase has passed, how much charge is sitting on the plates? h. If the capacitor has a leakage resistance of 10,000 M_, what is the initial leakage current? Once the capacitor is separated from the circuit, how long will it take to totally discharge, assuming a linear (unchanging) discharge rate? 8 kl c4 µF c FIG. 35 Transient network for Example 6.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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EXAMPLE 6 For the circuit in Fig. 35: ( page 425) a.Find the mathematical expression for the transient behavior of yC, iC, and yR if the switch is closed at t_ 0 s. b. Plot the waveform of yC versus the time constant of the network. c. Plot the waveform of yC versus time. d. Plot the waveforms of iC and yR versus the time constant of the network. e. What is the value of yC at t _ 20 ms? f. On a practical basis, how much time must pass before we can assume that the charging phase has passed? g. When the charging phase has passed, how much charge is sitting on the plates? h. If the capacitor has a leakage resistance of 10,000 M_, what is the initial leakage current? Once the capacitor is separated from the circuit, how long will it take to totally discharge, assuming a linear (unchanging) discharge rate? 8 kfl E 40 V c4 µF vC FIG. 35 Transient network for Example 6. Using capacitor value 1. 4 µF 210 µF 2.
Transcribed Image Text:EXAMPLE 6 For the circuit in Fig. 35: ( page 425) a.Find the mathematical expression for the transient behavior of yC, iC, and yR if the switch is closed at t_ 0 s. b. Plot the waveform of yC versus the time constant of the network. c. Plot the waveform of yC versus time. d. Plot the waveforms of iC and yR versus the time constant of the network. e. What is the value of yC at t _ 20 ms? f. On a practical basis, how much time must pass before we can assume that the charging phase has passed? g. When the charging phase has passed, how much charge is sitting on the plates? h. If the capacitor has a leakage resistance of 10,000 M_, what is the initial leakage current? Once the capacitor is separated from the circuit, how long will it take to totally discharge, assuming a linear (unchanging) discharge rate? 8 kfl E 40 V c4 µF vC FIG. 35 Transient network for Example 6. Using capacitor value 1. 4 µF 210 µF 2.
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