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How many time constants will elapse the current in a charging RC circuit drops to half of its initial value? Answer the same question for a discharging RC circuit.

How many time constants will elapse the current in a charging RC circuit drops to half of its initial value? Answer the same question for a discharging RC circuit.

Grade:10

1 Answers

Jitender Pal
askIITians Faculty 365 Points
8 years ago
Sol. Q/2 = Q(1 – e^-t/CR) ⇒ 1/2 = (1 – e^-t/CR) ⇒ e^-t/CR = ½ ⇒ t/RC = log2 ⇒ n = 0.69.

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