
Concept explainers
Which elements (individual elements, not combinations of elements) of the networks in Fig. 7.64. are in series? Which are in parallel? As a check on your assumptions, be sure that the elements in series have the same current and that the elements in parallel have the same voltage. Restrict your decisions to single elements not combinations of elements.
Fig 7.64

(a)
The elements of the network that are in series and in parallel.
Answer to Problem 1P
R1,R2 and E elements are in series and R3,R4 and R5 elements are in parallel.
Explanation of Solution
Given:
A network is given as below.
Concept Used:
Elements in the series have the same current.
Elements in the parallels have the same voltage.
Calculation:
A network is given as below.
Since same current is flowing through R1,R2 and E.
So, R1,R2 and E are in series.
Also, since same voltage is flowing through R3,R4 and R5.
So, R3,R4 and R5 are in parallel.
Conclusion:
Hence, R1,R2 and E elements are in series and R3,R4 and R5 elements are in parallel.

(b)
The elements of the network that are in series and in parallel.
Answer to Problem 1P
R1 and E Elements are in series and R3,R4 and R2 elements are in parallel.
Explanation of Solution
Given:
A network is given as below.
Concept Used:
Elements in the series have the same current.
Elements in the parallels have the same voltage.
Calculation:
A network is given as below.
Since same current is flowing through R1 and E.
So, R1 and E are in series.
And since same voltage is flowing through R3,R4 and R2.
So, R3,R4 and R2 are in parallel.
Conclusion:
Hence, R1 and E elements are in series and R3,R4 and R2 elements are in parallel.

(c)
The elements of the network that are in series and in parallel.
Answer to Problem 1P
R1 and E Elements are in series and R4 and R2 elements are in parallel.
Explanation of Solution
Given:
A network is given as below.
Concept Used:
Elements in the series have the same current.
Elements in the parallels have the same voltage.
Calculation:
A network is given as below.
Since same current is flowing through R1 and E.
So, R1 and E are in series.
Since same voltage is across R4 and R2.
So, R4 and R2 are in parallel.
Conclusion:
Hence, R1 and E elements are in series and R4 and R2 elements are in parallel.
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