Beginning with an uncharged capacitor in an RC circuit,how long would it take,in multiples of time constant $\tau$,for the capacitor to be 98% charged?
A)9$\tau$
B)0.9$\tau$
C)90$\tau$
D)4$\tau$

Question

Quizplus · Accepted Answer

The time it takes for a capacitor in an RC circuit to charge to a certain percentage of its final value is given by the formula $ V(t) = V_0(1 - e^{-t/\tau}) $. To find when the capacitor is 98% charged, set $ V(t) = 0.98V_0 $ and solve for $ t $. This gives $ t \approx 4\tau $.

Beginning with an Uncharged Capacitor in an RC Circuit,how Long τ\tauτ

Beginning with an Uncharged Capacitor in an RC Circuit,how Long $\tau$