Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be:

Explanation:

Equivalent capacitance of capacitors -

→Connected in series: When n capacitors C1, C2, C3, ... Cn are connected in series, the net capacitance (Cs) is given by:

\(⇒ \frac{1}{C_s} = \frac{1}{C_1} + \frac{1}{C_2}+ \frac{1}{C_3} + ... \frac{1}{C_n}\)

→Connected in parallel: When n capacitors C1, C2, C3, ... Cn are connected in parallel, the net capacitance (Cp) is given by:

⇒ Cp = C1 + C2  + C3 +...  Cn

Now, If Two capacitors of Capacitance 'C' are connected in series then the equivalent capacitance is C/2.

If Two capacitor of Capacitance 'C' are connected in parallel then equivalent capacitance is 2C

so, Ratio in these two cases will be= 1:4

Hence, Option 4) is the correct choice.