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For the R-L circuit shown, the current i(t) for unit step input voltage will rise to 0.63 in

For the R-L circuit shown, the current i(t) for unit step input voltage will rise to 0.63 in Correct Answer 0.5 s

Concept:

Time constant of a circuit is the time taken to rise the 63.2% of input voltage.

Time constant of R-L circuit (τ) = L/R

Time constant of R-C circuit (τ) = RC

Calculation:

The time taken for the current i(t) for unit step voltage will rise to 0.63 is one time constant.

Time constant of R-L circuit (τ) = L/R

From the given circuit, L = 1 H, R = 2 Ω

Time constant (τ) = L/R = 0.5 s

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