Question

It is required to construct a $10\mu F$ capacitor which can be connected across a $200V$ battery. Capacitors of capacitance $10\mu F$ are available but they can withstand only $50V$ Design a combination which can yield the desired result

Answer 1

Let there are 'x' no of capacitors in series ie in a row

So, $x\times 50=200$

$\Rightarrow x=4$ capacitors

Effective capacitance in a row $=\frac{10}{4}$

Now, let there are 'y' such rows,

So, $\frac{10}{4}\times y=10$

$\Rightarrow y=4$ capacitor

So, the combinations of four rows each having $4$ capacitors each will form a $10\mu F$ capacitor that can withstand $200V$.