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QPages 198-203: Q71: HC Verma: Concepts of Physics - Volume 2 Electric Current in Conductors Pages 198-203: Q71 Solution: How many time constants will elapse before the charge on a…

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?

Step-by-Step Verified Solution

**Answer:** t=6.9taut = 6.9\\tau. **Step-by-Step Explanation:** q=q0e−t/tauq = q_0 e^{-t/\\tau}. For q=0.001q0q = 0.001 q_0: e−t/tau=0.001Rightarrowt=tauln1000=6.9taue^{-t/\\tau} = 0.001 \\Rightarrow t = \\tau \\ln 1000 = 6.9\\tau [citation:2].

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