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Question

A direct voltage of 200 V is suddenly applied to a series RL circuit having R=20Ω and L=0.2H. The rate of change of current at t=0.02sec is______ A/sec.

A
112.67
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B
154.65
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C
135.33
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D
56.9
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Solution

The correct option is C 135.33
As the voltage is applied suddenly
The current in the circuit
i(t)=I(II0)et/τ

time constant,τ=LR=0.220=0.01s

i(t)=1010e100t

didt=1000e100t

didtt=0.02s=1000e100×0.02

didtt=0.02s=135.33A/s

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