Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
11th Edition
ISBN: 9780134746968
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Question
Chapter 4, Problem 1P

(a)

To determine

Find the number of branches present in the circuit.

(a)

Expert Solution
Check Mark

Answer to Problem 1P

The number of branches present in the circuit is 11 branches.

Explanation of Solution

Given data:

Refer to Figure given in the textbook.

The voltage source is 10V.

The current source is 8A.

The given circuit is modified as shown in Figure 1.

Electric Circuits. (11th Edition), Chapter 4, Problem 1P

A branch is defined as a single electrical device or elements.

In Figure 1, there are 11 branches in the circuit. They are, 8A, 10V, R1, R2,R3, R4, R5, R6, R7, R8, and 4ix.

That is, 1 branch with a dependent source, 2 branches with independent sources, and 8 branches with resistors.

Conclusion:

Thus, the number of branches present in the circuit is 11 branches.

(b)

To determine

Find the number of branches where the current is unknown.

(b)

Expert Solution
Check Mark

Answer to Problem 1P

The number of branches in which the current is unknown is 10 branches.

Explanation of Solution

Given data:

Refer to Figure 1 in Part (a).

In Figure 1, the only one known current in the circuit is the 8A current source. And the current is unknown in all other branches. Therefore, the current is unknown in 10 branches.

Conclusion:

Thus, the number of branches in which the current is unknown is 10 branches.

(c)

To determine

Find the number of essential branches in the circuit.

(c)

Expert Solution
Check Mark

Answer to Problem 1P

The number of essential branches in the circuit is 9 essential branches.

Explanation of Solution

Given data:

Refer to Figure 1 in Part (a).

Essential branch: It is defined as a path that attaches essential nodes without passing through an essential node.

The essential branches in the circuit are, 8A, R1, R2,R3, R6, R7, 4ix, (R810V), and (R4R5).

In the circuit, (R810V) and (R4R5) are essential branches with two elements and the rest of the seven branches are essential branches that contains single element.

Therefore, the circuit has 9 essential branches.

Conclusion:

Thus, the number of essential branches in the circuit is 9 essential branches.

(d)

To determine

Find the number of essential branches where the current is unknown in the circuit.

(d)

Expert Solution
Check Mark

Answer to Problem 1P

The number of essential branches where the current is unknown is 8 essential branches.

Explanation of Solution

Given data:

Refer to Figure 1 in Part (a).

From Part (c), the circuit has 9 essential branches.

In Figure 1, the current is known only in the essential branch that containing the 8A current source. And the current is unknown in all the other 8 essential branches. Therefore, in 8 essential branches the current is unknown.

Conclusion:

Thus, the number of essential branches where the current is unknown is 8 essential branches.

(e)

To determine

Find the number of nodes present in the circuit.

(e)

Expert Solution
Check Mark

Answer to Problem 1P

The number of nodes present in the circuit is 6 nodes.

Explanation of Solution

Given data:

Refer to Figure 1 in Part (a).

Node: It is defined as a connection point between two or more branches.

In Figure 1, the nodes present in the circuit are, a, b, c, d, e, and f. Therefore, 6 nodes are present in the circuit.

Conclusion:

Thus, the number of nodes present in the circuit is 6 nodes.

(f)

To determine

Find the number of essential nodes present in the circuit.

(f)

Expert Solution
Check Mark

Answer to Problem 1P

The number of essential nodes present in the circuit is 4 essential nodes.

Explanation of Solution

Given data:

Refer to Figure 1 in Part (a).

Essential node: It is a node that joins three or more electrical element or devices

In Figure 1, the essential nodes present in the circuit are, a, c, d, and f. Therefore, there are 4 essential nodes in the circuit.

Conclusion:

Thus, the number of essential nodes present in the circuit is 4 essential nodes.

(g)

To determine

Find the number of meshes present in the circuit.

(g)

Expert Solution
Check Mark

Answer to Problem 1P

The number of meshes present in the circuit is 6 meshes.

Explanation of Solution

Given data:

Refer to Figure 1 in Part (a).

Mesh: It is defined as a closed loop path that has no any other smaller loops present inside.

In Figure 1, the closed loops present in the circuit are, (8AR1), (R1R6R2), (R2R7R3), (10VR3R8), (R4R5R7R6), and (4ixR5R4). Therefore, there are 6 meshes present in the circuit.

Conclusion:

Thus, the number of meshes present in the circuit is 6 meshes.

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08:08

Chapter 4 Solutions

Electric Circuits. (11th Edition)

Ch. 4.7 - Use the mesh-current method to find the mesh...Ch. 4.7 - Use the mesh-current method to find the power...Ch. 4.8 - Find the power delivered by the 2 A current source...Ch. 4.8 - Find the power delivered by the 4 A current source...Ch. 4.9 - Use a series of source transformations to find the...Ch. 4.10 - Find the Thévenin equivalent circuit with respect...Ch. 4.10 - Find the Norton equivalent circuit with respect to...Ch. 4.10 - A voltmeter with an internal resistance of 100 kΩ...Ch. 4.11 - Find the Thévenin equivalent circuit with respect...Ch. 4.11 - Find the Thévenin equivalent circuit with respect...Ch. 4.12 - Find the value of R that enables the circuit shown...Ch. 4.12 - Assume that the circuit in Assessment Problem 4.21...Ch. 4 - For the circuit shown in Fig. P4.1, state the...Ch. 4 - If only the essential nodes and branches are...Ch. 4 - Assume the voltage vs in the circuit in Fig. P4.3...Ch. 4 - A current leaving a node is defined as...Ch. 4 - Look at the circuit in Fig. 4.4. Write the KCL...Ch. 4 - Use the node-voltage method to find vo in the...Ch. 4 - Find the power developed by the 40 mA current...Ch. 4 - A 100 Ω resistor is connected in series with the...Ch. 4 - Use the node-voltage method to find how much power...Ch. 4 - Use the node-voltage method to find v1 and v2 in...Ch. 4 - Use the node-voltage method to find v1 and v2 in...Ch. 4 - Use the node-voltage method to find the branch...Ch. 4 - Use the node-voltage method to find v1, v2, and v3...Ch. 4 - The circuit shown in Fig. P4.14 is a dc model of a...Ch. 4 - Use the node-voltage method to find the total...Ch. 4 - Use the node-voltage method to show that the...Ch. 4 - Use the node-voltage method to calculate the power...Ch. 4 - Use the node voltage method to find vo for the...Ch. 4 - Use the node-voltage method to find the total...Ch. 4 - Use the node-voltage method to find vo in the...Ch. 4 - Find the node voltages v1, v2, and v3 in the...Ch. 4 - Use the node-voltage method to find the value of...Ch. 4 - Use the node-voltage method to find the branch...Ch. 4 - Use the node-voltage method to find the value of...Ch. 4 - Use the node-voltage method to find the power...Ch. 4 - Use the node-voltage method to find io in the...Ch. 4 - Use the node-voltage method to find υ0 and the...Ch. 4 - Use the node-voltage method to find vo in the...Ch. 4 - Use the node-voltage method to find the power...Ch. 4 - Assume you are a project engineer and one of your...Ch. 4 - Show that when Eqs. 4.13, 4.14, and 4.16 are...Ch. 4 - Solve Problem 4.12 using the mesh-current...Ch. 4 - Solve Problem 4.14 using the mesh-current...Ch. 4 - Solve Problem 4.25 using the mesh-current...Ch. 4 - Solve Problem 4.26 using the mesh-current...Ch. 4 - Use the mesh-current method to find the branch...Ch. 4 - Use the mesh-current method to find the total...Ch. 4 - Solve Problem 4.17 using the mesh-current...Ch. 4 - Use the mesh-current method to find the power...Ch. 4 - Use mesh-current method to find the power...Ch. 4 - Use the mesh-current method to find the power...Ch. 4 - Use the mesh-current method to find vo in the...Ch. 4 - Solve Problem 4.10 using the mesh-current...Ch. 4 - Solve Problem 4.21 using the mesh-current...Ch. 4 - Use the mesh-current method to find how much power...Ch. 4 - Use the mesh-current method to solve for iΔ in...Ch. 4 - Use the mesh-current method to determine which...Ch. 4 - Use the mesh-current method to find the total...Ch. 4 - Solve Problem 4.23 using the mesh-current...Ch. 4 - Use the mesh-current method to find the total...Ch. 4 - Assume the 20 V source in the circuit in Fig....Ch. 4 - Use the mesh-current method to find the branch...Ch. 4 - Find the branch currents ia − ie for the circuit...Ch. 4 - The variable de voltage source in the circuit in...Ch. 4 - The variable de current source in the circuit in...Ch. 4 - Assume you have been asked to find the power...Ch. 4 - A 4 kΩ resistor is placed in parallel with the 10...Ch. 4 - Would you use the node-voltage or mesh- current...Ch. 4 - Use source transformations to find the current io...Ch. 4 - Find the current io in the circuit in Fig. P4.60...Ch. 4 - Make a series of source transformations to find...Ch. 4 - Use a series of source transformations to find i0...Ch. 4 - Use source transformations to find vo in the...Ch. 4 - Prob. 64PCh. 4 - Find the Norton equivalent with respect to the...Ch. 4 - Find the Norton equivalent with respect to the...Ch. 4 - Find the Thévenin equivalent with respect to the...Ch. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - A Thévenin equivalent can also be determined from...Ch. 4 - Prob. 72PCh. 4 - The Wheatstone bridge in the circuit shown in Fig....Ch. 4 - Prob. 74PCh. 4 - Find the Norton equivalent with respect to the...Ch. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Find the Thévenin equivalent with respect to the...Ch. 4 - Find the Thévenin equivalent with respect to the...Ch. 4 - Prob. 80PCh. 4 - Find the Norton equivalent with respect to the...Ch. 4 - The variable resistor in the circuit in Fig. P4.82...Ch. 4 - Prob. 83PCh. 4 - a) Calculate the power delivered for each value of...Ch. 4 - Find the value of the variable resistor Ro in the...Ch. 4 - A variable resistor R0 is connected across the...Ch. 4 - The variable resistor (R0) in the circuit in Fig....Ch. 4 - The variable resistor (Ro) in the circuit in Fig....Ch. 4 - The variable resistor (RL) in the circuit in Fig....Ch. 4 - Prob. 90PCh. 4 - The variable resistor in the circuit in Fig. P4.91...Ch. 4 - Use the principle of superposition to find the...Ch. 4 - Prob. 93PCh. 4 - Use the principle of superposition to find the...Ch. 4 - a) In the circuit in Fig. P4.95, before the 10 mA...Ch. 4 - Use the principle of superposition to find the...Ch. 4 - Use the principle of superposition to find the...Ch. 4 - Use the principle of superposition to find vo in...Ch. 4 - Prob. 99PCh. 4 - Prob. 100PCh. 4 - Assume your supervisor has asked you to determine...Ch. 4 - Prob. 102PCh. 4 - Laboratory measurements or a dc voltage source...Ch. 4 - Prob. 104PCh. 4 - Prob. 105PCh. 4 - Repeat Problem 4.105 if Ig2 increases to 17 A and...Ch. 4 - Prob. 107PCh. 4 - Use the results given in Table 4.2 to predict the...
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