To form a composite `16 muF, 1000 V` capacitor from a supply of identical capacitors market `8 muF, 250 V`, we require a minimum number of capacitors

Options

A. `40`
B. `32`
C. `8`
D. `2`

Answer

B

Explanation

Suppose `C = 8muF, C' = 16 muF`
and `V = 250V, V' = 1000 V`

Suppode `m` rows of given capacitors are connected in parallel and each row contains `n` capacitors then potential difference across each capacitor `V = (V')/(n)` and equivalent capacitance of network `C' = (mC)/(n)` on putting the values we get `n = 4` and `m = 8`.
`:.` Total capacitors `= n xx m = 4 xx 8 = 32`