Q. The combined capacity of the parallel combination of two capacitors is four times their combined capacity when connected in series. This means that
A) Their capacities are equal
B) Their capacities are $1\mu F$ and $2\mu F$
C) Their capacities are $0.5\mu F$ and $1\mu F$
D) Their capacities are infinite
Explanation
(a) $C_{p} = 4C_{s} \Rightarrow \left( C_{1} + C_{2} \right) = 4\frac{C_{1}C_{2}}{(C_{1} + C_{2})}$
$\Rightarrow \left( C_{1} - C_{2} \right)^{2} = 0 \Rightarrow C_{1} = C_{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.