Essentials of Electrical and Computer Engineering

David V. Kerns, Jr., J. David Irwin

Chapter 3

Transient Analysis - all with Video Answers

Educators

Chapter Questions

Problem 1

The voltage across a $10 \mu \mathrm{F}$ capacitor is given by the waveform in Figure P3.1. Compute the current waveform.
Figure P3.1 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 2

The voltage waveform across a $5 \mu \mathrm{F}$ capacitor is shown in Figure P3.2. Determine the waveform for the current.
Figure P3.2 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 3

The voltage across a $10 \mu \mathrm{F}$ capacitor is shown in Figure P3.3. Determine the current waveform.
Figure P3.3 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 4

The voltage waveform across a $20 \mu \mathrm{F}$ capacitor is shown in Figure P3.4. Compute the waveform of the capacitor current.
Figure P3.4 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 5

Find the equivalent capacitance at the terminals A-B in the network in Figure P3.5.
Figure P3.5 can't copy

Amit Srivastava

Amit Srivastava

Numerade Educator

Problem 6

Find $C_{A B}$ at the terminals of the circuit in Figure P3.6.
Figure P3.6 can't copy

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Problem 7

Find $C_{A B}$ in the network in Figure P3.7.
Figure P3.7 can't copy

Thomas Thompson

Thomas Thompson

Numerade Educator

Problem 8

Find the equivalent capacitance $C_{A B}$ in the network in Figure P3.8.
Figure P3.8 can't copy

Dading Chen

Numerade Educator

Problem 9

Find $C_{A B}$ in the circuit in Figure P3.9. All capacitor values are in micro farads.
Figure P3.9 can't copy

Dading Chen

Numerade Educator

Problem 10

The current in a $20 \mathrm{mH}$ inductor is given by the waveform in Figure P3.10. Compute the waveform for the inductor voltage.
Figure P3.10 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 11

The current in a $10 \mathrm{mH}$ inductor has the waveform shown in Figure P3.11. Determine the waveform of the inductor voltage.
Figure P3.11 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 12

The waveform of the current in a $40 \mathrm{mH}$ inductor is shown in Figure P3.12. Determine the waveform of the inductor voltage.
Figure P3.12 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 13

The current in a $6 \mathrm{mH}$ inductor is shown in Figure P3.13. Determine the waveform of the inductor voltage.
Figure P3.13 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 14

Find the equivalent inductance at the terminals A-B in the circuit in Figure P3.14.
Figure P3.14 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 15

Find $L_{A B}$ in the network in Figure P3.15. All inductors are $12 \mathrm{mH}$
Figure P3.15 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 16

Find $L_{A B}$ in the circuit shown in Figure P3.16.
Figure P3.16 can't copy

Thomas Thompson

Thomas Thompson

Numerade Educator

Problem 17

Find the equivalent inductance of the network shown in Figure P3.17 at the terminals A-B. All inductors are $8 \mathrm{mH}$.
Figure P3.17 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 18

Determine the inductance at the terminals A-B of the circuit shown in Figure P3.18.
Figure P3.18 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 19

Find the inductance labeled $L_{A B}$ in the network in Figure P3.19.
Figure P3.19 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 20

A flash bulb circuit for a camera is shown in Figure P3.20. Initially both switches are open. Switch 1 closes to charge the capacitor. Once the capacitor is charged, switch 1 opens. When switch 2 closes, the energy stored in the capacitor is discharged through the light bulb represented by the $0.2 \Omega$ resistor. Find the equation of the current that causes the bulb to flash.
Figure P3.20 can't copy

Meghan Miholics

Meghan Miholics

Numerade Educator

Problem 21

Given the network in Figure P.3.21, assume the switch has been in position 1 for a long time and moves to position 2 at $t=0$. Calculate the voltage $v_0(t)$ for $t>0$.
Figure P3.21 can't copy

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Problem 22

The switch in the network in Figure P3.22 closes at $t=0$. Calculate $v_0(t)$ for $t>0$.
Figure P3.22 can't copy

Varsha Aggarwal

Varsha Aggarwal

Numerade Educator

Problem 23

Consider the circuit shown in Figure P3.23. Assuming that the switch has been in position 1 for a long time, at time $t=0$ the switch is moved to position 2. Calculate the current $i(t)$ for $t>0$.
Figure P3.23 can't copy

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Problem 24

In the circuit in Figure P3.24 find $i_0(t)$ for $t>0$.
Figure P3.24 can't copy

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Problem 25

Find $v_c(t)$ for $t>0$ in the circuit shown in Figure P3.25.
Figure P3.25 can't copy

Victor Salazar

Numerade Educator

Problem 26

Find $i_0(t)$ for $t>0$ in the circuit in Figure P3.26.
Figure P3.26 can't copy

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Problem 27

Consider the network in Figure P3.27. At $t=0$, the switch opens. Find $v_0(t)$ for $t>0$.
Figure P3.27 can't copy

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Problem 28

Find $v_c(t)$ for $t>0$ in the network in Figure P3.28.
Figure P3.28 can't copy

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Problem 29

Consider the network in Figure P3.29. The switch closes at $t=0$. Find $v_0(t)$ for $t>0$.
Figure P3.29 can't copy

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Problem 30

Find $i_0(t)$ for $t>0$ in Figure P3.30.
Figure P3.30 can't copy

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Problem 31

Find $v_c(t)$ for $t>0$ in the circuit in Figure P3.31.
Figure P3.31 can't copy

Victor Salazar

Numerade Educator

Problem 32

Find $i_0(t)$ for $t>0$ in Figure P3.32.
Figure P3.32 can't copy

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Problem 33

Consider the circuit shown in Figure P3.33. The circuit is steady state prior to time $t=0$, when the switch is closed. Calculate the current $i(t)$ for $t>0$
Figure P3.33 can't copy

Keshav Singh

Numerade Educator

Problem 34

In the circuit in Figure P3.34 find $v_c(t)$ for $t>0$.
Figure P3.34 can't copy

Victor Salazar

Numerade Educator

Problem 35

In the network in Figure P3.35, find $i_L(t)$ for $t>0$.
Figure P3.35 can't copy

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Problem 36

Given the circuit shown in Figure P3.36, at $t=0$ the switch is opened. Calculate the current $i(t)$ for $t>0$.
Figure P3.36 can't copy

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Problem 37

Find $v_0(t)$ for $t>0$ in the circuit in Figure P3.37.
Figure P3.37 can't copy

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Problem 38

In the circuit shown in Figure P3.38, the switch opens at $t=0$. Find $i_1(t)$ for $t>0$.
Figure P3.38 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 39

Consider the network shown in Figure P3.39. If the switch opens at $t=0$, find the output voltage $v_0(t)$ for $t>0$.
Figure P3.39 can't copy

Varsha Aggarwal

Varsha Aggarwal

Numerade Educator

Problem 40

Find $v_0(t)$ for $t>0$ in the circuit in Figure P3.40.
Figure P3.40 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 41

The switch in the network in Figure P3.41 closes at $t=0$. Find $i_0(t)$ for $t>0$.
Figure P3.41 can't copy

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Problem 42

The switch in the network in Figure P3.42 opens at $t=0$. Find $v_0(t)$ for $t>0$.
Figure P3.42 can't copy

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Problem 43

Find $v_0(t)$ for $t>0$ in the circuit in Figure P3.43.
Figure P3.43 can't copy

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 44

Determine $i_0(t)$ for $t>0$ in Figure P3.44.
Figure P3.44 can't copy

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Problem 45

In the network in Figure P3.45, find $i_L(t)$ for $t>0$.
Figure P3.45 can't copy

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Problem 46

Given the series circuit in Figure P3.46 with the following network parameters $R=2 \Omega$, $L=\frac{1}{4} H$, and $C=\frac{1}{9} F$, determine the type of damping the network will exhibit.
Figure P3.46 can't copy

Averell Hause

Carnegie Mellon University

Problem 47

The resistor in the network in problem 3.46 is changed to $R=3 \Omega$. What impact does this change have on the circuit damping?

Vishal Gupta

Numerade Educator

Problem 48

If the resistor in the circuit in problem 3.46 is changed to $R=4 \Omega$, will this change have any effect on the circuit's damping? If so, what, and if not, why not?

Vishal Gupta

Numerade Educator

Problem 49

The parameters for the parallel RLC circuit in Figure P3.49 are $R=1 \Omega, L=1 H$, and $C=\frac{1}{4} F$. Determine the type of damping exhibited by the circuit.
Figure P3.49 can't copy

Narayan Hari

Numerade Educator

Problem 50

If the inductance in the network in problem 3.49 is decreased by a factor of 2 , determine the impact on the network's damping characteristics.

Narayan Hari

Numerade Educator

Problem 51

If the inductance in the circuit in problem 3.49 is changed to $L=\frac{4}{3} H$, determine the effect of this change on the network's damping characteristics.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 52

The series $R L C$ circuit shown in Figure P3.52 has the following parameters: $C=0.04 \mathrm{~F}$, $L=1 \mathrm{H}, R=6 \Omega, i_L(0)=4 A$, and $v_c(0)=-4 \mathrm{~V}$. Find the equation for the current $i(t)$.
Figure P3.52 can't copy

Ekaveera Kumar

Numerade Educator

Problem 53

For the underdamped circuit shown in Figure P3.53, determine the voltage $v(t)$ if the initial conditions on the storage elements are $i_L(0)=1 \mathrm{~A}$ and $v_c(0)=10 \mathrm{~V}$.
Figure P3.53 can't copy

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Problem 54

Determine the equation for the current $i(t)$, $t>0$, in the circuit shown in Figure P3.54.
Figure P3.54 can't copy

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Problem 55

In the circuit shown in Figure P3.55, find $v(t)$, $t>0$.
Figure P3.55 can't copy

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