Question

Two capacitors of unknown capacities an produce maximum capacity 25farad and minimum 6 farad .When connected together .Find the capacity of each capacitor?​

Answer 1

Let $C_1$ and $C_2$ are capacities of two unknown capacitors.

if both are joined in parallel in then, equivalent capacity will be maximum and if both are joined in series combination, equivalent capacity will be minimum.

so, $C_{max}=C_1+C_2$

or, $C_1+C_2=25F$....(1)

and $C_{min}=\frac{C_1C_2}{C_1+C_2}$

or, $6F=\frac{C_1C_2}{C_1+C_2}$....(2)

from equations (1) and (2),

$C_1=10F$ and $C_2=15F$

hence, capacity of capacitors are 10F and 15F.