Question

To form a composite 16 $\mu F$, 1000V capacitor from a number of identical capacitors marked 8 $\mu F$, 250V, we require a minimum number of capacitors::-

• A. 8
• B. 16
• C. 24
• D. 32

Answer 1

The correct option is D 32

$C=8\mu F,C^{\prime }=16\mu F$

Now,

$\frac{C^{\prime }}{C}\times {\left(\frac{V^{\prime }}{V}\right)}^2=\frac{16}{8}{\left(\frac{1000}{250}\right)}^2=32$

Hence, Option $D$ is correct answer.