You charge an initially uncharged 72.5 mF capacitor through a 42.9 $\Omega$ resistor by means of a 9.00 V battery having negligible internal resistance. Determine the time constant $\tau$ of the circuit. $\tau$ = s What is the charge $Q(t)$ on the capacitor $t = 1.55\tau$ after the circuit is closed? $Q(1.55\tau)$ = C What is the charge $Q_0$ after a long amount of time has passed? $Q_0$ = C
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In this case, $R = 42.9 \, \Omega$ and $C = 72.5 \, mF = 72.5 \times 10^{-3} \, F$. Therefore, $\tau = (42.9 \, \Omega)(72.5 \times 10^{-3} \, F) = 3.10975 \, s$. Rounding to three significant figures, we get $\tau = 3.11 \, s$. Show more…
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