A resistor and a capacitor are connected in series to a battery of terminal voltage

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Circuits · Electric Circuits

Problem

27. A resistor

R

and a capacitor

C

are connected in series to a battery of terminal voltage

V_{0}

. Which of the following equations relating the current I in the circuit and the charge Q on the capacitor describes this circuit? (A)

\mathrm{V}_{0}+\mathrm{QC}-\mathrm{I}^{2} \mathrm{R}=0

(B)

\mathrm{V}_{0}-\mathrm{Q} / \mathrm{C}-\mathrm{IR}=0

(C)

\mathrm{V}_{0}{ }^{2}-\mathrm{Q}^{2} / 2 \mathrm{C}-\mathrm{I}^{2} \mathrm{R}=0

(D)

\mathrm{V}_{0}-\mathrm{C}(\mathrm{dQ} / \mathrm{dt})-\mathrm{I}^{2} \mathrm{R}=0

(E)

\mathrm{Q} / \mathrm{C}-\mathrm{IR}=0