A 24-V battery is attached to a 3.0-mF capacitor and a 100-ohm resistor.If the capacitor is initially uncharged,what is the voltage across the capacitor 0.16 seconds after the circuit is connected to the battery?
A)14 V
B)12 V
C)15 V
D)9.9 V
E)8.6 V

Question

Quizplus · Accepted Answer

The voltage across the capacitor as it charges can be found using the formula $V = V_0(1 - e^{-t/RC})$, where $V_0$ is the battery voltage, $R$ is the resistance, $C$ is the capacitance, and $t$ is the time. Plugging in the given values: $V = 24(1 - e^{-0.16/(100 \times 3.0 \times 10^{-6})})$, we get approximately 9.9 V.

A 24-V Battery Is Attached to a 3