Three capacitors each of capacitance C are connected in series. Their equivalent capacitance is `C_(s)`. The same three capacitors are now connected in parallel. Their equivalent capacitance becomes `C_(p)`. Find the ratio `((C_(p))/(C_(s)))`
(Working must be shown).

Explanation

To find the ratio of the equivalent capacitance of three capacitors connected in parallel to that of the same capacitors connected in series, we can follow these steps:

### Step 1: Calculate the equivalent capacitance for capacitors in series

For capacitors in series, the formula for equivalent capacitance \( C_s \) is given by:

\[
\frac{1}{C_s} = \frac{1}{C} + \frac{1}{C} + \frac{1}{C}
...