Referring to the circuit depicted in Fig. 3.45, count the number of (a) nodes;
(b) elements; (c) branches.
FIGURE 3.45
(a)
Find the number of nodes in the circuit.
Answer to Problem 1E
Number of nodes in the circuit is
Explanation of Solution
The circuit diagram is redrawn as shown in Figure 1.
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
Conclusion:
Thus, the number of nodes in the circuit is
(b)
Find the number of elements in the circuit.
Answer to Problem 1E
Number of elements in the circuit is
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
Conclusion:
Thus, the number of elements in the circuit is
(c)
Find the number of branches in the circuit.
Answer to Problem 1E
Number of branches in the circuit is
Explanation of Solution
Refer to the redrawn Figure 1.
Each electrical element or device present in the circuit is known as branch.
There are
Conclusion:
Thus, the number of branches in the circuit is
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Chapter 3 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
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