Question:
Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities capacities in the two cases will be -
Correct Option: , 2
Solution:
(2)
Given that first connection
$\Rightarrow \frac{1}{C_{12}}=\frac{1}{C}+\frac{1}{C} \Rightarrow C_{12}=\frac{C}{2}$
Second connection
$C_{34}=C+C=2 C$
Now, the ratio of equivalent capacities in the two cases will be
$\Rightarrow \frac{C_{12}}{C_{34}}=\frac{C / 2}{2 C} \Rightarrow \frac{C_{12}}{C_{34}}=\frac{1}{4}$
