A series combination of a 48.0-$\mu$F capacitor and a resistor are connected to a 12-V battery.After one second,the voltage across the capacitor is 10 V.What is the resistance of the resistor?
A)11.6 kΩ
B)3.47 kΩ
C)37.3 kΩ
D)208 kΩ

Question

Quizplus · Accepted Answer

The voltage across a charging capacitor in an RC circuit is given by $ V(t) = V_0(1 - e^{-t/RC}) $. Here, $ V(t) = 10 $ V, $ V_0 = 12 $ V, $ t = 1 $ s, and $ C = 48.0 \times 10^{-6} $ F. Solving for $ R $ gives $ R \approx 11.6 $ kΩ.

A Series Combination of a 48 μ\muμ F Capacitor and a Resistor Are Connected to a 12-V

A Series Combination of a 48 $\mu$ F Capacitor and a Resistor Are Connected to a 12-V