What is capacitance ? Explain when capacitor in series and parallel

Define Capacitance

The capacitance of a capacitor is given by the ratio of it’s charge to the P.D. across it’s plate. i.e.

capacitance formula =

Explanation when Capacitor In Series

Let, three capacitors are connected in series C1, C2 &C3. potential difference across the each capacitor is V1, V2 & V3 respectively.

P.D. across capacitor

Total voltage (v) = V1 + V2 + V3

Explanation When Capacitor In Parallel

Let three capacitors C1 , C2  & C3 are connected in parallel respectively by connected across P.D. now, charge on the capacitor C1

Q1 = C1V

Similarly,

Q2=C2V

Q3=C3V

If, C is the equivalent capacitance, of the circuit, the total charge

Q = C.V = Q1 + Q2 + Q3

= C1V + C2V + C3V

Q = V (C1 +C2 +C3)

C = C1 + C2 + C3  

OR, Q = VC

C = Q/V


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