Question

Two capacitors each of capacity 2 μF are connected in parallel. This system is connected in series with the third capacitor of 12μF capacity. Find the equivalent capacity of the system.  

Answer 1

Here, C₁ and C₂ are in parallel.

∴ C_AB = C₁ + C₂ = 2 μF + 2 μF = 4 μF 

Here, C_AB and C₃ are in series,

∴ `1/"C"_"AC" = 1/(4mu) + 1/(12mu)`

∴ C_AC = 3μF

The equivalent capacity of the system is 3μF.