Question

From a supply of identical capacitors rated $8mF,250V$, the minimum number of capacitors required to form a composite $16mF,1000V$ is :

• A. $2$
• B. $4$
• C. $16$
• D. $32$

Answer 1

The correct option is D $32$

Let 'n' such capacitors are in series and such 'm' such branch are in parallel.
Total potential across n capacitors $=250\times n$
here, $250n=1000\Rightarrow n=4$
also $8/n\times m=16\Rightarrow m=16n/8=16\left(4\right)/8=8$
The number of capacitors$=mn=8\left(4\right)=32$