AP® Physics C: E & M

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Moderate

RC Parallel Circuit at Steady State

APPHEM-XJV9NX

A Circuit contains two identical resistors of resistance $\mathit{R}$ and a capacitor of capacitance $\mathit{C1}$ connected to a battery that provides an emf of $V$, as shown above.

At time zero the Capacitor is initially uncharged. Which of the following expressions would represent the power dissipated in resistor $\mathit{R_2}$ after a long time?

A

0

B

$\mathit{e^\cfrac{1}{RC}}$

C

$\mathit{\cfrac{V^2}{R}}$

D

$\mathit{\cfrac{V^2}{2R}}$

E

$\mathit{\cfrac{V^2}{4R}}$