Introductory Circuit Analysis

Robert L. Boylestad

Chapter 8 Methods of Analysis and Selected Topics (dc) - all with Video Answers

Educators

Chapter Questions

Problem 1

For the network in Fig. 8.102:
a. Determine currents $I_2$ and $I_3$.
b. Find voltage $V_1$.
c. Find the voltage across the source $V_s$.
(FIGURE CAN'T COPY)

Check back soon!

Problem 2

For the network in Fig. 8.103:
a. Find current $I_2$. Comment on the impact of $R_p \gg R_1$ or $R_2$.
b. Calculate voltage $V_2$.
c. Find the source voltage $V_s$.
(FIGURE CAN'T COPY)

Check back soon!

03:28

Problem 3

Find voltage $V_s$ (with polarity) across the ideal current source in Fig. 8.104.
(FIGURE CAN'T COPY)

Kajal Gautam

Numerade Educator

Problem 4

For the network in Fig. 8.105:
a. Find voltage $V_s$.
b. Calculate current $I_2$.
c. Find the source current $I_s$.
(FIGURE CAN'T COPY)

Check back soon!

Problem 5

Find voltage $V_3$ and current $I_2$ for the network in Fig. 8.106.
(FIGURE CAN'T COPY)

Check back soon!

Problem 6

For the network in Fig. 8.107:
a. Find the currents $I_1$ and $I_x$.
b. Find the voltages $V_s$ and $V_3$.
(FIGURE CAN'T COPY)

Check back soon!

Problem 7

Convert the voltage sources in Fig. 8.108 to current sources.
(FIGURE CAN'T COPY)

Check back soon!

Problem 8

Convert the current sources in Fig. 8.109 to voltage sources.
(FIGURE CAN'T COPY)

Check back soon!

02:06

For the network in Fig. 8.110:
(FIGURE CAN'T COPY)
a. Find the current through the $2 \Omega$ resistor. Comment on the impact of $R_p=50 R_L$.
b. Convert the current source and $100 \Omega$ resistor to a voltage source, and again solve for the current in the $2 \Omega$ resistor. Compare the results.

Ekaveera Kumar

Numerade Educator

Problem 10

For the configuration in Fig. 8.111:
a. Convert the current source and $6.8 \Omega$ resistor to a voltage source.
b. Find the magnitude and direction of the current $I_1$.
c. Find the voltage $V_{a b}$ and the polarity of points $a$ and $b$.
(FIGURE CAN'T COPY)

Check back soon!

Problem 11

For the network in Fig. 8.112:
a. Replace all the current sources by a single current source.
b. Find the source voltage $V_s$
(FIGURE CAN'T COPY)

Check back soon!

Problem 12

Find the voltage $V_2$ and the current $I_1$ for the network in Fig. 8.113.
(FIGURE CAN'T COPY)

Check back soon!

Problem 13

Convert the voltage sources in Fig. 8.114 to current sources.
a. Find the voltage $V_{a b}$ and the polarity of points $a$ and $b$.
b. Find the magnitude and direction of the current $I_3$.
(FIGURE CAN'T COPY)

Check back soon!

Problem 14

For the network in Fig. 8.115:
a. Convert the voltage source to a current source.
b. Reduce the network to a single current source, and determine the voltage $V_1$.
c. Using the results of part (b), determine $V_2$.
d. Calculate the current $I_2$.
(FIGURE CAN'T COPY)

Check back soon!

03:34

Problem 15

Using branch-current analysis, find the magnitude and direction of the current through each resistor for the networks in Fig. 8.116.
(FIGURE CAN'T COPY)

Mayukh Banik

Numerade Educator

Problem 16

Using branch-current analysis, find the current through each resistor for the networks in Fig. 8.117. The resistors are all standard values.
(FIGURE CAN'T COPY)

Check back soon!

Problem 17

For the networks in Fig. 8.118, determine the current $I_2$ using branch-current analysis, and then find the voltage $V_{a b}$.
C(FIGURE CAN'T COPY)

Check back soon!

04:57

Problem 18

For the network in Fig. 8.119:
a. Write the equations necessary to solve for the branch currents.
b. By substitution of Kirchhoff's current law, reduce the set to three equations.
c. Rewrite the equations in a format that can be solved using third-order determinants.
d. Solve for the branch current through the resistor $R_3$.
(FIGURE CAN'T COPY)

Ahmad Reda

Numerade Educator

Problem 19

For the transistor configuration in Fig. 8.120:
a. Solve for the currents $I_B I_C$ and $I_E$ using the fact that $V_{R E}$ $=0.7 \mathrm{~V}$ and $V_{C E}=8 \mathrm{~V}$.
b. Find the voltages $V_B, V_C$, and $V_E$ with respect to ground.
c. What is the ratio of output current $I_C$ to input current $I_B$ ? [Note: In transistor analysis, this ratio is referred to as the dc beta of the transistor $\left(\beta_{d c}\right)$.]
(FIGURE CAN'T COPY)

Check back soon!

Problem 20

Find the current through each resistor for the networks in Fig. 8.116.

Check back soon!

Problem 21

Find the current through each resistor for the networks in Fig. 8.117.

Check back soon!

03:13

Problem 22

Find the mesh currents and the voltage $V_{a b}$ for each network in Fig. 8.118. Use clockwise mesh currents.

Amit Srivastava

Numerade Educator

02:04

Problem 23

a. Find the current $I_3$ for the network in Fig. 8.119 using mesh analysis.
b. Based on the results of part (a), how would you compare the application of mesh analysis to the branch-current method?

Amit Srivastava

Numerade Educator

02:06

Problem 24

Using mesh analysis, determine the current through the $5 \Omega$ resistor for each network in Fig. 8.121. Then determine the voltage $V_d$
(FIGURE CAN'T COPY)

Ekaveera Kumar

Numerade Educator

03:21

Problem 25

Write the mesh equations for each of the networks in Fig. 8.122. Using determinants, solve for the loop currents in each network. Use clockwise mesh currents.
(FIGURE CAN'T COPY)

Supratim Pal

Numerade Educator

Problem 26

Using the supermesh approach, find the current through each element of the networks in Fig. 8.124.
(FIGURE CAN'T COPY)

Check back soon!

Problem 27

Using the supermesh approach, find the current through each element of the networks in Fig. 8.124.
(FIGURE CAN'T COPY)

Check back soon!

Problem 28

Using the format approach, write the mesh equations for the networks in Fig. 8.116. Is symmetry present? Using determinants, solve for the mesh currents.

Check back soon!

Problem 29

a. Using the format approach, write the mesh equations for the networks in Fig. 8.117.
b. Using determinants, solve for the mesh currents.
c. Determine the magnitude and direction of the current through each resistor.

Check back soon!

Problem 30

a. Using the format approach, write the mesh equations for the networks in Fig. 8.118.
b. Using determinants, solve for the mesh currents.
c. Determine the magnitude and direction of the current through each resistor.

Check back soon!

02:04

Problem 31

Using mesh analysis, determine the current $I_3$ for the network in Fig. 8.119. Compare your answer to the solution of Problem 18 .

Amit Srivastava

Numerade Educator

03:13

Problem 32

Using mesh analysis, determine $I_{S A}$ and $V_a$ for the network in Fig. 8.121 (b).

Amit Srivastava

Numerade Educator

Problem 33

Using mesh analysis, determine the mesh currents for the networks in Fig. 8.122.

Check back soon!

Problem 34

Using mesh analysis, determine the mesh currents for the networks in Fig. 8.123.

Check back soon!

Problem 35

Write the nodal equations for the networks in Fig. 8.125. Using determinants, solve for the nodal voltages. Is symmetry present?
(FIGURE CAN'T COPY)

Check back soon!

Problem 36

a. Write the nodal equations for the networks in Fig. 8.126.
b. Using determinants, solve for the nodal voltages.
c. Determine the magnitude and polarity of the voltage across each resistor.
(FIGURE CAN'T COPY)

Check back soon!

Problem 37

a. Write the nodal equations for the networks in Fig. 8.122.
b. Using determinants, solve for the nodal voltages.
c. Determine the magnitude and polarity of the voltage across each resistor.

Check back soon!

Problem 38

For the networks in Fig. 8.127, write the nodal equations and solve for the nodal voltages.
(FIGURE CAN'T COPY)

Check back soon!

Problem 39

a. Determine the nodal voltages for the networks in Fig. 8.128.
b. Find the voltage across each current source.
(FIGURE CAN'T COPY)

Check back soon!

Problem 40

Using the supernode approach, determine the nodal voltages for the networks in Fig. 8.129.
(FIGURE CAN'T COPY)

Check back soon!

Problem 41

Using the format approach, write the nodal equations for the networks in Fig. 8.125. Is symmetry present? Using determinants, solve for the nodal voltages.

Check back soon!

Problem 42

a. Write the nodal equations for the networks in Fig. 8.126.
b. Solve for the nodal voltages.
c. Find the magnitude and polarity of the voltage across each resistor.

Check back soon!

Problem 43

a. Write the nodal equations for the networks in Fig. 8.127.
b. Solve for the nodal voltages.
c. Find the magnitude and polarity of the voltage across each resistor.

Check back soon!

Problem 44

Determine the nodal voltages for the networks in Fig. 8.128. Then determine the voltage across each current source.

Check back soon!

Problem 45

For the bridge network in Fig. 8.130:
a. Write the mesh equations using the format approach.
b. Determine the current through $R_5$.
c. Is the bridge balanced?
d. Is Eq. (8.2) satisfied?
(FIGURE CAN'T COPY)

Check back soon!

Problem 46

For the network in Fig. 8.130:
a. Write the nodal equations using the format approach.
b. Determine the voltage across $R_5$.
c. Is the bridge balanced?
d. Is Eq. (8.2) satisfied?

Check back soon!

Problem 47

For the bridge in Fig. 8.131:
a. Write the mesh equations using the format approach.
b. Determine the current through $R_5$.
c. Is the bridge balanced?
d. Is Eq. (8.2) satisfied?
(FIGURE CAN'T COPY)

Check back soon!

Problem 48

For the bridge network in Fig. 8.131:
a. Write the nodal equations using the format approach.
b. Determine the current across $R_5$.
c. Is the bridge balanced?
d. Is Eq. (8.2) satisfied?

Check back soon!

Problem 49

Write the nodal equations for the bridge configuration in Fig. 8.132. Use the format approach.
(FIGURE CAN'T COPY)

Check back soon!

Problem 50

Determine the current through the source resistor $R_s$ of each network in Fig. 8.133 using either mesh or nodal analysis. Explain why you chose one method over the other.
(FIGURE CAN'T COPY)

Check back soon!

Problem 51

Using a $\Delta$-Y or $\mathrm{Y}-\Delta$ conversion, find the current $I$ in each of the networks in Fig. 8.134.
(FIGURE CAN'T COPY)

Check back soon!

Problem 52

Repeat Problem 51 for the networks in Fig. 8.135.
(FIGURE CAN'T COPY)

Check back soon!

01:38

Problem 53

Determine the current $I$ for the network in Fig. 8.136.
(FIGURE CAN'T COPY)

Thomas Thompson

Numerade Educator

02:23

Problem 54

a. Replace the T configuration in Fig. 8.137 (composed of $6 \mathrm{k} \Omega$ resistors) with a $\pi$ configuration.
b. Solve for the source current $I_{I_1}$.
(FIGURE CAN'T COPY)

Ekaveera Kumar

Numerade Educator

Problem 55

a. Replace the $\pi$ configuration in Fig. 8.138 (composed of $3 \mathrm{k} \Omega$ resistors) with a $\mathrm{T}$ configuration.
b. Solve for the source current $I_s$.
(FIGURE CAN'T COPY)

Check back soon!

Problem 56

Using Y- $\Delta$ or $\Delta$-Y conversions, determine the total resistance of the network in Fig. 8.139.
(FIGURE CAN'T COPY)

Check back soon!

03:42

Problem 57

Using schematics, find the current through each element in Fig. 8.116.

Vishal Gupta

Numerade Educator

02:52

Problem 58

Using schematics, find the mesh currents for the network in Fig. 8.123(a).

Khoobchandra Agrawal

Numerade Educator

Problem 59

Using schematics, determine the nodal voltages for the network in Fig. 8.129(II).

Check back soon!

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59