For three capacitors of capacitances and connected in parallel

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

For three capacitors of capacitances

C_1,\,C_2

and

C_3

connected in parallel, which one of the following expressions gives their equivalent capacitance

C_{\text{eq}}

? (a)

\displaystyle C_{\text{eq}}=\frac{C_1C_2 + C_2C_3 + C_3C_1}{C_1+C_2+C_3}

(b)

\displaystyle C_{\text{eq}}=C_1+C_2+C_3

(c)

\displaystyle \frac{1}{C_{\text{eq}}}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}

(d)

\displaystyle C_{\text{eq}}=\frac{C_1+C_2+C_3}{3}