Question

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

• A. $2$
• B. $4$
• C. $16$
• D. $32$

Answer 1

Answer: (D)

$32$

The required voltage is 1000v and the capacitors are parallel as 250v.

So number of capacitors required will be 4 i.e$250\times 4=1000$ in series.

Now example of four capacitor in series will be equal $2\mu f$ (micro farade) but the equivalent capacitance required is given as $16\mu f$ so there must be 8 series of parallel arrange capacitors each of capacitor 2 micro farad hence total number of capacitor $=4\times 8=32$

Hence option (D) is corrct