Referring to the circuit depicted in Fig. 3.45, count the number of ( a ) nodes; ( b ) elements; ( c ) branches. FIGURE 3.45

Question

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Answer 1

Textbook Question

Chapter 3, Problem 1E

Referring to the circuit depicted in Fig. 3.45, count the number of (a) nodes;

(b) elements; (c) branches.

Chapter 3, Problem 1E, Referring to the circuit depicted in Fig. 3.45, count the number of (a) nodes; (b) elements; (c)

FIGURE 3.45

(a)

Expert Solution

To determine

Find the number of nodes in the circuit.

Answer to Problem 1E

Number of nodes in the circuit is 5.

Explanation of Solution

The circuit diagram is redrawn as shown in Figure 1.

Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf, Chapter 3, Problem 1E

Refer to the redrawn Figure 1.

A point where two or more branches have common connection is known as node.

In Figure 1 two branches are connected at point a, three branches are connected at point b, two branches are connected at point c, two branches are connected at point d and three branches are connected at point e. From this it concludes that the number of nodes in the given circuit is 5.

Conclusion:

Thus, the number of nodes in the circuit is 5.

(b)

Expert Solution

To determine

Find the number of elements in the circuit.

Answer to Problem 1E

Number of elements in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each component (either passive or active device) present in the electrical circuit is an element.

There are 2 current source and 4 resistors available in the circuit. So, the total number of elements is 6.

Conclusion:

Thus, the number of elements in the circuit is 6.

(c)

Expert Solution

To determine

Find the number of branches in the circuit.

Answer to Problem 1E

Number of branches in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each electrical element or device present in the circuit is known as branch.

There are 2 current source and 4 resistors present in the circuit. Therefore, total number of branches is 6.

Conclusion:

Thus, the number of branches in the circuit is 6.

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Answer 2

Textbook Question

Chapter 3, Problem 1E

Referring to the circuit depicted in Fig. 3.45, count the number of (a) nodes;

(b) elements; (c) branches.

Chapter 3, Problem 1E, Referring to the circuit depicted in Fig. 3.45, count the number of (a) nodes; (b) elements; (c)

FIGURE 3.45

(a)

Expert Solution

To determine

Find the number of nodes in the circuit.

Answer to Problem 1E

Number of nodes in the circuit is 5.

Explanation of Solution

The circuit diagram is redrawn as shown in Figure 1.

Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf, Chapter 3, Problem 1E

Refer to the redrawn Figure 1.

A point where two or more branches have common connection is known as node.

In Figure 1 two branches are connected at point a, three branches are connected at point b, two branches are connected at point c, two branches are connected at point d and three branches are connected at point e. From this it concludes that the number of nodes in the given circuit is 5.

Conclusion:

Thus, the number of nodes in the circuit is 5.

(b)

Expert Solution

To determine

Find the number of elements in the circuit.

Answer to Problem 1E

Number of elements in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each component (either passive or active device) present in the electrical circuit is an element.

There are 2 current source and 4 resistors available in the circuit. So, the total number of elements is 6.

Conclusion:

Thus, the number of elements in the circuit is 6.

(c)

Expert Solution

To determine

Find the number of branches in the circuit.

Answer to Problem 1E

Number of branches in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each electrical element or device present in the circuit is known as branch.

There are 2 current source and 4 resistors present in the circuit. Therefore, total number of branches is 6.

Conclusion:

Thus, the number of branches in the circuit is 6.

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Answer 3

Textbook Question

Chapter 3, Problem 1E

Referring to the circuit depicted in Fig. 3.45, count the number of (a) nodes;

(b) elements; (c) branches.

Chapter 3, Problem 1E, Referring to the circuit depicted in Fig. 3.45, count the number of (a) nodes; (b) elements; (c)

FIGURE 3.45

(a)

Expert Solution

To determine

Find the number of nodes in the circuit.

Answer to Problem 1E

Number of nodes in the circuit is 5.

Explanation of Solution

The circuit diagram is redrawn as shown in Figure 1.

Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf, Chapter 3, Problem 1E

Refer to the redrawn Figure 1.

A point where two or more branches have common connection is known as node.

In Figure 1 two branches are connected at point a, three branches are connected at point b, two branches are connected at point c, two branches are connected at point d and three branches are connected at point e. From this it concludes that the number of nodes in the given circuit is 5.

Conclusion:

Thus, the number of nodes in the circuit is 5.

(b)

Expert Solution

To determine

Find the number of elements in the circuit.

Answer to Problem 1E

Number of elements in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each component (either passive or active device) present in the electrical circuit is an element.

There are 2 current source and 4 resistors available in the circuit. So, the total number of elements is 6.

Conclusion:

Thus, the number of elements in the circuit is 6.

(c)

Expert Solution

To determine

Find the number of branches in the circuit.

Answer to Problem 1E

Number of branches in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each electrical element or device present in the circuit is known as branch.

There are 2 current source and 4 resistors present in the circuit. Therefore, total number of branches is 6.

Conclusion:

Thus, the number of branches in the circuit is 6.

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Answer 4

Textbook Question

Chapter 3, Problem 1E

Referring to the circuit depicted in Fig. 3.45, count the number of (a) nodes;

(b) elements; (c) branches.

Chapter 3, Problem 1E, Referring to the circuit depicted in Fig. 3.45, count the number of (a) nodes; (b) elements; (c)

FIGURE 3.45

(a)

Expert Solution

To determine

Find the number of nodes in the circuit.

Answer to Problem 1E

Number of nodes in the circuit is 5.

Explanation of Solution

The circuit diagram is redrawn as shown in Figure 1.

Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf, Chapter 3, Problem 1E

Refer to the redrawn Figure 1.

A point where two or more branches have common connection is known as node.

In Figure 1 two branches are connected at point a, three branches are connected at point b, two branches are connected at point c, two branches are connected at point d and three branches are connected at point e. From this it concludes that the number of nodes in the given circuit is 5.

Conclusion:

Thus, the number of nodes in the circuit is 5.

(b)

Expert Solution

To determine

Find the number of elements in the circuit.

Answer to Problem 1E

Number of elements in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each component (either passive or active device) present in the electrical circuit is an element.

There are 2 current source and 4 resistors available in the circuit. So, the total number of elements is 6.

Conclusion:

Thus, the number of elements in the circuit is 6.

(c)

Expert Solution

To determine

Find the number of branches in the circuit.

Answer to Problem 1E

Number of branches in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each electrical element or device present in the circuit is known as branch.

There are 2 current source and 4 resistors present in the circuit. Therefore, total number of branches is 6.

Conclusion:

Thus, the number of branches in the circuit is 6.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

(a)

Expert Solution

To determine

Find the number of nodes in the circuit.

Answer to Problem 1E

Number of nodes in the circuit is 5.

Explanation of Solution

The circuit diagram is redrawn as shown in Figure 1.

Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf, Chapter 3, Problem 1E

Refer to the redrawn Figure 1.

A point where two or more branches have common connection is known as node.

In Figure 1 two branches are connected at point a, three branches are connected at point b, two branches are connected at point c, two branches are connected at point d and three branches are connected at point e. From this it concludes that the number of nodes in the given circuit is 5.

Conclusion:

Thus, the number of nodes in the circuit is 5.

(b)

Expert Solution

To determine

Find the number of elements in the circuit.

Answer to Problem 1E

Number of elements in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each component (either passive or active device) present in the electrical circuit is an element.

There are 2 current source and 4 resistors available in the circuit. So, the total number of elements is 6.

Conclusion:

Thus, the number of elements in the circuit is 6.

(c)

Expert Solution

To determine

Find the number of branches in the circuit.

Answer to Problem 1E

Number of branches in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each electrical element or device present in the circuit is known as branch.

There are 2 current source and 4 resistors present in the circuit. Therefore, total number of branches is 6.

Conclusion:

Thus, the number of branches in the circuit is 6.

Answer 8

(a)

Expert Solution

To determine

Find the number of nodes in the circuit.

Answer to Problem 1E

Number of nodes in the circuit is 5.

Explanation of Solution

The circuit diagram is redrawn as shown in Figure 1.

Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf, Chapter 3, Problem 1E

Refer to the redrawn Figure 1.

A point where two or more branches have common connection is known as node.

In Figure 1 two branches are connected at point a, three branches are connected at point b, two branches are connected at point c, two branches are connected at point d and three branches are connected at point e. From this it concludes that the number of nodes in the given circuit is 5.

Conclusion:

Thus, the number of nodes in the circuit is 5.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

Find the number of nodes in the circuit.

Answer 13

Answer to Problem 1E

Number of nodes in the circuit is 5.

Answer 14

Explanation of Solution

The circuit diagram is redrawn as shown in Figure 1.

Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf, Chapter 3, Problem 1E

Refer to the redrawn Figure 1.

A point where two or more branches have common connection is known as node.

In Figure 1 two branches are connected at point a, three branches are connected at point b, two branches are connected at point c, two branches are connected at point d and three branches are connected at point e. From this it concludes that the number of nodes in the given circuit is 5.

Conclusion:

Thus, the number of nodes in the circuit is 5.

Answer 15

(b)

Expert Solution

To determine

Find the number of elements in the circuit.

Answer to Problem 1E

Number of elements in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each component (either passive or active device) present in the electrical circuit is an element.

There are 2 current source and 4 resistors available in the circuit. So, the total number of elements is 6.

Conclusion:

Thus, the number of elements in the circuit is 6.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

Find the number of elements in the circuit.

Answer 20

Answer to Problem 1E

Number of elements in the circuit is 6.

Answer 21

Explanation of Solution

Refer to the redrawn Figure 1.

Each component (either passive or active device) present in the electrical circuit is an element.

There are 2 current source and 4 resistors available in the circuit. So, the total number of elements is 6.

Conclusion:

Thus, the number of elements in the circuit is 6.

Answer 22

(c)

Expert Solution

To determine

Find the number of branches in the circuit.

Answer to Problem 1E

Number of branches in the circuit is 6.

Explanation of Solution

Refer to the redrawn Figure 1.

Each electrical element or device present in the circuit is known as branch.

There are 2 current source and 4 resistors present in the circuit. Therefore, total number of branches is 6.

Conclusion:

Thus, the number of branches in the circuit is 6.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

Find the number of branches in the circuit.

Answer 27

Answer to Problem 1E

Number of branches in the circuit is 6.

Answer 28

Explanation of Solution

Refer to the redrawn Figure 1.

Each electrical element or device present in the circuit is known as branch.

There are 2 current source and 4 resistors present in the circuit. Therefore, total number of branches is 6.

Conclusion:

Thus, the number of branches in the circuit is 6.

Answer 29

Referring to the circuit depicted in Fig. 3.45, count the number of ( a ) nodes; ( b ) elements; ( c ) branches. FIGURE 3.45

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Answer to Problem 1E

Explanation of Solution

Answer to Problem 1E

Explanation of Solution

Answer to Problem 1E

Explanation of Solution

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