Capacitance in parallel

Capacitance in parallel

Figure below shows the capacitors having all their left hand plates connected together and their night hand plates likewise. This arrangement is parallel connection of capacitors.

  As Q=CV, the charges on the individual capacitors are respectively.

       Q₁ = C₁V,   Q₂ = C₂V,    Q₃ = C₃V

The total charge on system of capacitor is

Q = Q₁+ Q₂+ Q₃  = (C₁+ C₂+ C₃)V

And the system is, therefore equivalent to a single capacitor of capacitance

C = Q/V  = (C₁+ C₂+ C₃)

For n capacitor in parallel

C = C₁+ C₂+ C₃+…………………………+C_n