A capacitor with initial charge $q_0$ is discharged through a resistor. What multiple of the time constant $ au$ gives the time the capacitor takes to lose (a) the first 1/7-th of its charge and (b) 6/7-th of its charge?
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This is given by 1/7 = e^(-ntau), where n is the multiple of the time constant. Solving for n, we get n = ln(7). Show more…
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