Question

How many time constants will elapse before the charge on a capacitors falls to 0.1% of its maximum value in a discharging RC circuit?

Answer 1

Answer:

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Answer 2

Before the capacitor charge falls to 0.1 percentage of its maximum value, 6.9 constants will elapse in a discharging RC circuit.

Explanation:

Across a capacitor, the charge decay is  

q = Qe - tRC

Here, Q = 1 $\times$ 10−3 Q and q = 0.1 %

⇒ 1 $\times$ 10−3 Q = Qe – tRC

⇒ e-tRC= 10−3

⇒trC = –6.9 = 6.9

Let t = nRC

⇒n = 6.9