Answer to Question #322403 in Physics for Cring

Question

An RC circuit have a 9 V source and lies at a 54-seconds of time constant.

Then, find the voltage across the Capacitor after 153.6 seconds of charging.

Answer 1

$$V_C(t)=V_s\left(1-e^{-t/\tau}\right)$$

$$V_C(t)=9\:{\rm V}\left(1-e^{-153.6/54}\right)=8.48\:\rm V$$