DC Electrical Circuit Analysis: A Practical Approach

James M. Fiore

Chapter 6

Analysis Theorems and Techniques - all with Video Answers

Educators

Chapter Questions

Problem 1

For the circuit shown in Figure 6.38 , determine the equivalent current source.

Sheh Lit Chang

Sheh Lit Chang

University of Washington

Problem 2

Given the circuit shown in Figure 6.39 , determine the equivalent current source.

Sheh Lit Chang

University of Washington

Problem 3

Determine the equivalent current source for the circuit shown in Figure 6.40 .

Amit Srivastava

Amit Srivastava

Numerade Educator

Problem 4

For the circuit shown in Figure 6.41 , determine the equivalent current source.

Sheh Lit Chang

University of Washington

Problem 5

For the circuit shown in Figure $6.42,$ determine the equivalent voltage source.

Sheh Lit Chang

University of Washington

Problem 6

Given the circuit shown in Figure 6.43 , determine the equivalent voltage source.

Kajal Gautam

Numerade Educator

Problem 7

Determine the equivalent voltage source for the circuit shown in Figure 6.44

Amit Srivastava

Amit Srivastava

Numerade Educator

Problem 8

For the circuit shown in Figure $6.45,$ determine the equivalent voltage source.

Sheh Lit Chang

University of Washington

Problem 9

Given the circuit shown in Figure 6.46 , determine the equivalent voltage source.

Sheh Lit Chang

University of Washington

Problem 10

Using source conversion, find $V_{b}$ for the circuit shown in Figure 6.47 .

Thomas Thompson

Thomas Thompson

Numerade Educator

Problem 11

Using source conversion, find the current through the $3 \mathrm{k} \Omega$ resistor in the circuit of Figure 6.48 .

Ekaveera Kumar

Numerade Educator

Problem 12

Using source conversion, find $V_{b}$ for the circuit shown in Figure $6.49 .$

Kajal Gautam

Numerade Educator

Problem 13

Using source conversion, find $V_{a}$ for the circuit shown in Figure 6.50 .

Kajal Gautam

Numerade Educator

Problem 14

Using source conversion, find $V_{b}$ for the circuit shown in Figure 6.51 .

Thomas Thompson

Thomas Thompson

Numerade Educator

Problem 15

Using superposition, determine $V_{b}$ for the circuit shown in Figure 6.47 .

Sana Maqsad

Numerade Educator

Problem 16

Using superposition, find the current through the $3 \mathrm{k} \Omega$ resistor for the circuit of Figure 6.47

Km Neeraj

Numerade Educator

Problem 17

Using superposition, find the current through the $3 \mathrm{k} \Omega$ resistor for the circuit of Figure 6.48 .

Km Neeraj

Numerade Educator

Problem 18

Using superposition, determine $V_{a b}$ for the circuit shown in Figure 6.48 .

Sana Maqsad

Numerade Educator

Problem 19

Using superposition, determine $V_{b}$ for the circuit shown in Figure $6.49 .$

Sana Maqsad

Numerade Educator

Problem 20

Using superposition, find the current through the $4 \mathrm{k} \Omega$ resistor for the circuit of Figure 6.49

Varsha Aggarwal

Varsha Aggarwal

Numerade Educator

Problem 21

Using superposition, find the current through the $30 \mathrm{k} \Omega$ resistor for the circuit of Figure $6.50 .$

Shoukat Ali

Other Schools

Problem 22

. Using superposition, determine $V_{a}$ for the circuit shown in Figure 6.50 .

Sana Maqsad

Numerade Educator

Problem 23

Using superposition, determine $V_{b a}$ for the circuit shown in Figure 6.51 .

Sana Maqsad

Numerade Educator

Problem 24

Using superposition, find the current through the $10 \mathrm{k} \Omega$ resistor for the circuit of Figure 6.51

Sana Maqsad

Numerade Educator

Problem 25

Using superposition, find the current through the $1.5 \mathrm{k} \Omega$ resistor for the circuit of Figure 6.52 .

Varsha Aggarwal

Varsha Aggarwal

Numerade Educator

Problem 26

Using superposition, determine $V_{o b}$ for the circuit shown in Figure 6.52 .

Sana Maqsad

Numerade Educator

Problem 27

. Using superposition, determine $V_{b}$ for the circuit shown in Figure 6.53 .

Sana Maqsad

Numerade Educator

Problem 28

Using superposition, find the current through the $200 \Omega$ resistor for the circuit of Figure 6.53 .

Sheh Lit Chang

University of Washington

Problem 29

Using superposition, find the current through the $4 \mathrm{k} \Omega$ resistor for the circuit of Figure 6.54 .

Varsha Aggarwal

Varsha Aggarwal

Numerade Educator

Problem 30

Using superposition, determine $V_{b}$ for the circuit shown in Figure 6.54 .

Sana Maqsad

Numerade Educator

Problem 31

Is it possible to determine $V_{b}$ in Figure 6.54 by using source conversions instead of superposition? Why/why not?

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 32

Using superposition, determine $V_{b c}$ for the circuit shown in Figure $6.55 .$

Sana Maqsad

Numerade Educator

Problem 33

Using superposition, find the current through the $10 \mathrm{k} \Omega$ resistor for the circuit of Figure $6.55 .$

Sana Maqsad

Numerade Educator

Problem 34

Using superposition, find the currents through the $100 \Omega$ and $700 \Omega$ resistors for the circuit shown in Figure 6.56 .

Jilin Wang

Boston University

Problem 35

Using superposition, determine $V_{b d}$ for the circuit shown in Figure 6.56 .

Sana Maqsad

Numerade Educator

Problem 36

Is it possible to determine $V_{b d}$ in Figure 6.56 by using source conversions instead of superposition? Why/why not?

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 37

Using superposition, determine $V_{a d}$ for the circuit shown in Figure 6.57 .

Sana Maqsad

Numerade Educator

Problem 38

Using superposition, find the current through the $20 \mathrm{k} \Omega$ resistor for the circuit shown in Figure 6.57 .

Mirza Aslam Beig

Mirza Aslam Beig

Numerade Educator

Problem 39

Using superposition, find the current through the $12 \mathrm{k} \Omega$ resistor for the circuit shown in Figure 6.58 .

Shoukat Ali

Other Schools

Problem 40

Using superposition, determine $V_{b}$ for the circuit shown in Figure 6.58 .

Sana Maqsad

Numerade Educator

Problem 41

Using superposition, determine $V_{b}$ for the circuit shown in Figure $6.59 .$

Sana Maqsad

Numerade Educator

Problem 42

Using superposition, find the current through the $100 \Omega$ resistor for the circuit of Figure $6.59 .$

Sheh Lit Chang

University of Washington

Problem 43

. Using superposition, find the current through the $5 \mathrm{k} \Omega$ resistor for the circuit of Figure 6.60

Varsha Aggarwal

Varsha Aggarwal

Numerade Educator

Problem 44

Using superposition, determine $V_{c}$ for the circuit shown in Figure 6.60 .

Sana Maqsad

Numerade Educator

Problem 45

Given the circuit shown in Figure 6.61 , determine the Thévenin equivalent circuit that is driving the $4 \mathrm{k} \Omega$ resistor.

Kajal Gautam

Numerade Educator

Problem 46

Given the circuit shown in Figure 6.61 , determine the Norton equivalent circuit driving the $4 \mathrm{k} \Omega$ resistor.

Ekaveera Kumar

Numerade Educator

Problem 47

Given the circuit shown in Figure 6.61 , determine the Norton equivalent circuit driving the $12 \mathrm{k} \Omega$ resistor.

Kajal Gautam

Numerade Educator

Problem 48

Determine the Thévenin equivalent circuit driving the $12 \mathrm{k} \Omega$ resistor for the circuit shown in Figure 6.62 .

Kajal Gautam

Numerade Educator

Problem 49

Given the circuit shown in Figure 6.63 , determine the Thévenin equivalent circuit that is driving the $20 \mathrm{k} \Omega$ resistor.

Mirza Aslam Beig

Mirza Aslam Beig

Numerade Educator

Problem 50

For the circuit shown in Figure $6.63,$ determine the Norton equivalent circuit driving the $4 \mathrm{k} \Omega$ resistor.

Ekaveera Kumar

Numerade Educator

Problem 51

Given the circuit shown in Figure 6.64 , determine the Norton equivalent circuit driving the $40 \Omega$ resistor.

Ekaveera Kumar

Numerade Educator

Problem 52

Determine the Thévenin equivalent circuit driving the $10 \Omega$ resistor for the circuit shown in Figure 6.64

Mirza Aslam Beig

Mirza Aslam Beig

Numerade Educator

Problem 53

Given the circuit shown in Figure $6.65,$ determine the Norton equivalent circuit driving the $12 \mathrm{k} \Omega$ resistor.

Kajal Gautam

Numerade Educator

Problem 54

Given the circuit of Figure 6.61 , determine the power in the $4 \mathrm{k} \Omega$ resistor. If this resistor can be replaced with any other value, is it possible to achieve a higher power? Why/why not?

Kajal Gautam

Numerade Educator

Problem 55

Given the circuit of Figure 6.62 , determine the power in the $12 \mathrm{k} \Omega$ resistor. If this resistor can be replaced with any other value, is it possible to achieve a higher power? Why/why not?

Kajal Gautam

Numerade Educator

Problem 56

Given the circuit of Figure $6.64,$ determine the power in the $40 \Omega$ resistor. If this resistor can be replaced with any other value, is it possible to achieve a higher power? Why/why not?

Luis Rios

Numerade Educator

Problem 57

Given the circuit of Figure $6.65,$ determine the power in the $6 \mathrm{k} \Omega$ resistor. If this resistor can be replaced with any other value, is it possible to achieve a higher power? Why/why not?

Kajal Gautam

Numerade Educator

Problem 58

Consider the $4 \mathrm{k} \Omega$ resistor to be the load in Figure 6.61 . Determine a new value for the load in order to achieve maximum load power. Also determine the maximum load power.

Ekaveera Kumar

Numerade Educator

Problem 59

Consider the $12 \mathrm{k} \Omega$ resistor to be the load in Figure 6.62 . Determine a new value for the load in order to achieve maximum load power. Also determine the maximum load power.

Ekaveera Kumar

Numerade Educator

Problem 60

Consider the $40 \Omega$ resistor to be the load in Figure 6.64 . Determine a new value for the load in order to achieve maximum load power. Also determine the maximum load power.

Ekaveera Kumar

Numerade Educator

Problem 61

. Consider the $6 \mathrm{k} \Omega$ resistor to be the load in Figure $6.65 .$ Determine a new value for the load in order to achieve maximum load power. Also determine the maximum load power.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 62

Redesign the circuit of Figure 6.52 so that it uses only current sources and produces the same component currents and voltages as the original circuit.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 63

Redesign the circuit of Figure 6.54 so that it uses only current sources and produces the same component currents and voltages as the original circuit.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 64

Redesign the circuit of Figure 6.58 so that it uses only voltage sources and produces the same component currents and voltages as the original circuit.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 65

Redesign the circuit of Figure 6.60 so that it uses only voltage sources and produces the same component currents and voltages as the original circuit.

Anurag Kumar

Numerade Educator

Problem 66

Convert the delta network of Figure 6.66 into a $Y$ network.

Thomas Thompson

Thomas Thompson

Numerade Educator

Problem 67

Convert the pi network of Figure 6.67 into a T network.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 68

Convert the $Y$ network of Figure 6.68 into a delta network.

Km Neeraj

Numerade Educator

Problem 69

Convert the T network of Figure 6.69 into a pi network.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 70

Redesign the circuit of Figure 6.70 so that it uses only current sources and produces the same node voltages as the original circuit.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 71

Using any combination of techniques, find the current through the $9 \mathrm{k} \Omega$ resistor for the circuit of Figure 6.70

Shoukat Ali

Other Schools

Problem 72

Using any combination of techniques, determine $V_{b c}$ for the circuit shown in Figure 6.70

Amit Srivastava

Amit Srivastava

Numerade Educator

Problem 73

Is it possible to determine $V_{b c}$ in Figure 6.70 by using just source conversions? Why/why not?

Thomas Thompson

Thomas Thompson

Numerade Educator

Problem 74

Using superposition, find the current through the $25 \Omega$ resistor for the circuit of Figure 6.71.

Mirza Aslam Beig

Mirza Aslam Beig

Numerade Educator

Problem 75

Using superposition, find $V_{a b}$ in the circuit of Figure 6.71 .

Thomas Thompson

Thomas Thompson

Numerade Educator

Problem 76

Redesign the circuit of Figure 6.71 using only voltage sources so that it achieves the same node voltages as the original.

Amit Srivastava

Amit Srivastava

Numerade Educator

Problem 77

Is it possible to determine $V_{b c}$ in Figure 6.72 by using just source conversions or just superposition? Why/why not?

Thomas Thompson

Thomas Thompson

Numerade Educator

Problem 78

Using any combination of techniques, find the current through the $100 \Omega$ resistor for the circuit shown in Figure 6.72 .

Sheh Lit Chang

University of Washington

Problem 79

Redesign the circuit of Figure 6.72 so that it uses only voltage sources and produces the same node voltages as the original circuit.

Amit Srivastava

Amit Srivastava

Numerade Educator

Problem 80

Determine the Thévenin and Norton equivalents driving the $40 \Omega$ resistor for the circuit shown in Figure 6.53 .

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 81

Determine the Thévenin and Norton equivalents driving the $12 \mathrm{k} \Omega$ resistor for the circuit shown in Figure 6.54.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 82

Given the circuit of Figure $6.63,$ determine if the $4 \mathrm{k} \Omega$ resistor is the optimal value to achieve maximum power dissipation in that resistor. If it is not, determine the value that will produce maximum power in the resistor along with the resulting power.

Arun Bana

Numerade Educator

Problem 83

For the circuit of Figure $6.73,$ determine an equivalent circuit using just a single voltage source.

Sheh Lit Chang

University of Washington

Problem 84

Using DC bias simulations, compare the original circuit of problem 1 to its converted equivalent. Do this by connecting a resistor to the output terminals, trying several different resistance values and checking to see if the two circuits always produce the same voltage across this resistor.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 85

Using DC bias simulations, compare the original circuit of problem 5 to its converted equivalent. Do this by connecting a resistor to the output terminals, trying several different resistance values and checking to see if the two circuits always produce the same voltage across this resistor.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 86

Perform a DC bias simulation on the circuit of problem 11 to verify the node voltages.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 87

Perform a DC bias simulation on the circuit of problem 13 to verify the node voltages.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 88

Perform a DC bias simulation on the circuit of problem 19 to verify the node voltages.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 89

Perform a DC bias simulation on the circuit of problem 21 to verify the resistor current.

Luis Rios

Numerade Educator

Problem 90

Create DC bias simulations of the original and equivalent circuits generated in problem 45 to determine if the equivalent circuit is truly equivalent. Do this by substituting several different values for the $4 \mathrm{k} \Omega$ resistor in both circuits to see if the same load voltage is obtained for both circuits.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 91

Create DC bias simulations of the original and equivalent circuits generated in problem 49 to determine if the equivalent circuit is truly equivalent. Do this by substituting several different values for the $20 \mathrm{k} \Omega$ resistor in both circuits to see if the same load voltage is obtained for both circuits.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 92

Create DC bias simulations of the original and equivalent circuits generated in problem 53 to determine if the equivalent circuit is truly equivalent. Do this by substituting several different values for the $12 \mathrm{k} \Omega$ resistor in both circuits to see if the same load voltage is obtained for both circuits.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 93

Perform a DC bias simulation on the circuit of problem 63 to verify that the node voltages of the new design match those of the original.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 94

Perform a DC bias simulation on the circuit of problem 65 to verify that the node voltages of the new design match those of the original.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 95

Using either Monte Carlo simulation or multiple DC bias simulations, verify that the resistance calculated in problem 55 achieves maximum power. Do this by trying several resistor values near the calculated value, and determining the power for each based on the squared load voltages.

Keshav Singh

Numerade Educator

Problem 96

Using either Monte Carlo simulation or multiple DC bias simulations, verify that the resistance calculated in problem 56 achieves maximum power. Do this by trying several resistor values near the calculated value, and determining the power for each based on the squared load voltages.

Keshav Singh

Numerade Educator