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Essentials of Electrical and Computer Engineering

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

Chapter 4

AC Steady-State Analysis - all with Video Answers

Educators


Chapter Questions

03:30

Problem 1

Determine the frequency of the following two currents and the phase angle between them.
$$
\begin{aligned}
& i_1(t)=4 \cos \left(754 t-60^{\circ}\right) \mathrm{A} \\
& i_2(t)=3 \cos \left(754 t+20^{\circ}\right) \mathrm{A}
\end{aligned}
$$

Supratim Pal
Supratim Pal
Numerade Educator
03:30

Problem 2

Determine the frequency of the following voltages and the phase angle between them.
$$
\begin{aligned}
& v_1(t)=100 \sin \left(377 t+25^{\circ}\right) \mathrm{V} \\
& v_2(t)=60 \cos \left(377 t-40^{\circ}\right) \mathrm{V}
\end{aligned}
$$

Supratim Pal
Supratim Pal
Numerade Educator

Problem 3

Find $\mathbf{V}_1$ in the network in Figure P4.3.
Figure P4.3 can't copy

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Problem 4

In the circuit in Figure P4.4, $v_1(t)=12 \cos$ $\left(377 t+20^{\circ}\right)$ V. Find I.
Figure P4.4 can't copy

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02:26

Problem 5

In the circuit in Figure $\mathrm{P} 4.5, i(t)=2 \cos$ $\left(377 t+60^{\circ}\right)$ A. Find $\mathbf{V}_1$.
Figure P4.5 can't copy

Khoobchandra Agrawal
Khoobchandra Agrawal
Numerade Educator
03:14

Problem 6

Find the impedance $\mathbf{Z}$ shown in Figure P4.6. $\omega=377 \mathrm{r} / \mathrm{s}$.
Figure P4.6 can't copy

Khoobchandra Agrawal
Khoobchandra Agrawal
Numerade Educator
02:48

Problem 7

Determine the impedance $\mathbf{Z}$ shown in Figure P4.7. $f=60 \mathrm{~Hz}$.
Figure P4.7 can't copy

Khoobchandra Agrawal
Khoobchandra Agrawal
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03:39

Problem 8

Find $\mathbf{Z}$ in Figure $\mathrm{P} 4.8$ if $\omega=10 \mathrm{r} / \mathrm{s}$.
Figure P4.8 can't copy

Khoobchandra Agrawal
Khoobchandra Agrawal
Numerade Educator
00:48

Problem 9

Calculate the equivalent impedance at terminals $A-B$ in the circuit shown in Figure P4.9.
Figure P4.9 can't copy

Salamat Ali
Salamat Ali
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Problem 10

Determine the impedance $\mathbf{Z}$ shown in the circuit in Figure P4.10.
Figure P4.10 can't copy

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17:22

Problem 11

Find the equivalent impedance $\mathbf{Z}$ shown in the circuit in Figure P4.11.
Figure P4.11 can't copy

Salma El-Sawy
Salma El-Sawy
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00:36

Problem 12

Calculate $\mathbf{Y}_{\text {eq }}$ as shown in Figure P4.12.
Figure P4.12 can't copy

Erika Bustos
Erika Bustos
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Problem 13

Calculate the equivalent admittance $\mathbf{Y}_p$ for the network in Figure P4.13 and use it to determine the current $I$ if $\mathbf{V}_S=60 \angle 45^{\circ} \mathrm{V}$.
Figure P4.13 can't copy

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Problem 14

Determine the equivalent impedance $\mathbf{Z}$ shown in the network in Figure P4.14.
Figure P4.14 can't copy

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00:48

Problem 15

Calculate the impedance $\mathbf{Z}_{A B}$ at the terminals $A-B$ in the network in Figure P4.15.
Figure P4.15 can't copy

Salamat Ali
Salamat Ali
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Problem 16

Find $\mathbf{V}_0$ in the circuit in Figure P4.16.
Figure P4.16 can't copy

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Problem 17

Calculate $\mathbf{V}_0$ in the network in Figure P4.17.
Figure P4.17 can't copy

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Problem 18

Find $\mathbf{V}_0$ in the network in Figure P4.18.
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Problem 19

Find $\mathbf{V}_0$ in the circuit in Figure P4.19.
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Problem 20

In the circuit in Figure P4.20, find $\mathbf{V}_0$.
Figure P4.20 can't copy

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Problem 21

Find $\mathbf{V}_0$ in the network in Figure P4.21.
Figure P4.21 can't copy

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Problem 22

Calculate $\mathbf{I}_0$ in the circuit in Figure P4.22.
Figure P4.22 can't copy

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Problem 23

Find $\mathbf{I}_0$ in the network in Figure P4.23.
Figure P4.23 can't copy

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Problem 24

Determine the voltage across the current source in the network in Figure P4.24,
Figure P4.24 can't copy

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Problem 25

Find the current $\mathbf{I}$ in the network in Figure P4.25.
Figure P4.25 can't copy

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Problem 26

Find the currents $\mathbf{I}_1, \mathbf{I}_2$, and $\mathbf{I}_3$ in the network in Figure P4.26.
Figure P4.26 can't copy

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Problem 27

Find $\mathbf{I}_0$ in the network in Figure P4.27.
Figure P4.27 can't copy

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Problem 28

Draw a phasor diagram illustrating all currents and voltages for the network in Figure P4.28.
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Problem 29

Draw a phasor diagram illustrating all currents and voltages for the network in Figure P4.29.
Figure P4.29 can't copy

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03:13

Problem 30

In the network in Figure P4.30, $\mathbf{V}_0$ is known to be $8 \angle 45^{\circ} \mathrm{V}$. Compute $\mathbf{V}_S$.
Figure P4.30 can't copy

Thomas Thompson
Thomas Thompson
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02:25

Problem 31

Use nodal analysis to find $\mathbf{V}_1$ and $\mathbf{V}_2$ in the circuit in Figure P4.31.
Figure P4.31 can't copy

Khoobchandra Agrawal
Khoobchandra Agrawal
Numerade Educator

Problem 32

Use nodal analysis to find $\mathbf{I}_0$ in the circuit in Figure P4.32.
Figure P4.32 can't copy

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Problem 33

Use nodal equations to find the current in the inductor in the circuit shown in Figure P4.33.
Figure P4.33 can't copy

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Problem 34

Determine $\mathbf{I}_0$ in the circuit shown in Figure P4.34 using nodal analysis.
Figure P4.34 can't copy

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Problem 35

Determine $\mathbf{V}_0$ in the circuit shown in Figure P4.35.
Figure P4.35 can't copy

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Problem 36

Find $\mathbf{I}_0$ in the circuit in Figure P4.36.
Figure P4.36 can't copy

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Problem 37

Use mesh analysis to find $\mathbf{V}_0$ in the circuit shown in Figure P4.37.
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Problem 38

Find the currents $\mathbf{I}_1$ and $\mathbf{I}_2$ in the circuit in Figure P4.38.
Figure P4.38 can't copy

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Problem 39

Find $\mathbf{V}_0$ in the network in Figure P4.39 using loop analysis.
Figure P4.39 can't copy

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Problem 40

Use loop analysis to find $\mathbf{I}_0$ in the circuit in Figure P4.40.
Figure P4.40 can't copy

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Problem 41

Find $\mathbf{V}_0$ in the network in Figure P4.41 using loop analysis.
Figure P4.41 can't copy

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Problem 42

Solve problem 4.31 using MATLAB.

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Problem 43

Solve problem 4.32 using MATLAB.

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Problem 44

Solve problem 4.38 using MATLAB.

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Problem 45

Solve problem 4.39 using MATLAB.

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Problem 46

Find $\mathbf{V}_0$ in the circuit in Figure $\mathrm{P} 4.46$ using superposition.
Figure P4.46 can't copy

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Problem 47

Use superposition to find $\mathbf{I}_0$ in the network in Figure P4.47.
Figure P4.47 can't copy

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00:39

Problem 48

Solve problem 4.37 using superposition.

Sana Maqsad
Sana Maqsad
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Problem 49

Use superposition to find $\mathbf{V}_0$ in the circuit in Figure P4.49.
Figure P4.49 can't copy

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Problem 50

Find $\mathbf{I}_0$ in the network in Figure P4.50 using superposition.
Figure P4.50 can't copy

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Problem 51

Use superposition to find $\mathbf{V}_0$ in the circuit in Figure P4.51.
Figure P4.51 can't copy

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Problem 52

Use source transformation to find $\mathbf{I}_0$ in the network in Figure P4.52.
Figure P4.52 can't copy

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Problem 53

Find $\mathbf{V}_0$ in the network in Figure P4.53 using source transformation.
Figure P4.53 can't copy

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Problem 54

Use source transformation to find $\mathbf{I}_0$ in the circuit in Figure P4.54.
Figure P4.54 can't copy

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Problem 55

Use source transformation to find $\mathbf{V}_0$ in the network in Figure P4.55.
Figure P4.55 can't copy

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Problem 56

Solve problem 4.41 using Thevenin's theorem.

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Problem 57

Solve problem 4.40 using Thevenin's theorem.

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Problem 58

Solve problem 4.39 using Thevenin's theorem.

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Problem 59

Solve problem 4.51 using Thevenin's theorem.

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Problem 60

Find $\mathbf{I}_0$ in the network in Figure P4.60 using Thevenin's theorem.
Figure P4.60 can't copy

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Problem 61

Solve problem 4.32 using Norton's theorem.

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Problem 62

Solve problem 4.40 using Norton's theorem.

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Problem 63

Use Norton's theorem to find $\mathbf{V}_0$ in the circuit in Figure P4.63.
Figure P4.63 can't copy

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Problem 64

Find the exponential Fourier series for the periodic function shown in Figure P4.64.
Figure P4.64 can't copy

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06:35

Problem 65

Find the Fourier coefficients for the waveform in Figure P4.65.
Figure P4.65 can't copy

Kajal Gautam
Kajal Gautam
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01:21

Problem 66

If the input voltage in Figure $\mathrm{P} 4.66$ is $v_s(t)=1-\frac{2}{\pi} \sum_{n=1}^{\infty} \frac{1}{\mathrm{n}} \sin 0.2 \pi n t \mathrm{~V}$, find the expression for the steady-state current $i_0(t)$.
Figure P4.66 can't copy

Khoobchandra Agrawal
Khoobchandra Agrawal
Numerade Educator

Problem 67

Determine the first three terms of the steadystate voltage $v_0(t)$ in Figure P4.67 if the input voltage is a periodic signal of the form.
Figure P4.67 can't copy

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