An uncharged 1.0-μF capacitor is connected in series with a 23-kΩ resistor, an ideal 7.0-V battery, and an open switch. What is the voltage across the capacitor 11 ms after closing the switch?
A) 2.7 V
B) 1.6 V
C) 2.6 V
D) 0.62 V

Question

Quizplus · Accepted Answer

The voltage across the capacitor in an RC circuit is given by V(t) = V0(1 - e^(-t/RC)), where V0 is the battery voltage, R is the resistance, C is the capacitance, and t is the time. Substituting the given values: V0 = 7.0 V, R = 23,000 Ω, C = 1.0 μF = 1.0 x 10^-6 F, and t = 11 ms = 11 x 10^-3 s, we get V(t) ≈ 7.0(1 - e^(-11 x 10^-3 / (23,000 x 1.0 x 10^-6))) ≈ 2.7 V.

An Uncharged 1