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Question

For given L−R circuit, growth of current as function of time t is shown in graph. Which of the following option represents value of time constant most closely for the circuit?
761397_429b067cf9bc451295ade9673da9a435.jpg

A
0.7 s
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B
1 s
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C
2.4 s
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D
0.4 s
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Solution

The correct option is B 1 s
In one time constant 63% change occurs in the value of current. The 63% of maximum current is 1.26 A. If is obvious from graph, the current 1.26 A corresponds to time which is slightly greater than 0.9s. Hence, option having 1 s is most appropriate.

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