# For the circuit given below, if the frequency of the source is 50 Hz, then a value of to which results in a transient free response is _________________

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For the circuit given below, if the frequency of the source is 50 Hz, then a value of to which results in a transient free response is _________________

(a) 0

(b) 1.78 ms

(c) 7.23 ms

(d) 9.21 ms

The question was posed to me in final exam.

I would like to ask this question from Region of Convergence in section Laplace Transform and System Design of Signals and Systems

by (42.1k points)
Correct answer is (b) 1.78 ms

For explanation: T = $\frac{L}{R}$

Or, T = $\frac{0.01}{5}$ = 0.002 s = 2 ms

For the ideal case, transient response will die out with time constant.

Practically, T will be less than 2 ms.

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