﻿ Combination of Capacitors | Electrostatic Potential and Capacitance - Zigya

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# Electrostatic Potential and Capacitance Quickly browse through questions and notes on related topics. You can also download and read this topic offline.

## Combination of Capacitors

Capacitors of capacitance C1, C2,…, Cn can be combined to obtain a system with some effective capacitance C. The effective capacitance depends on the way the individual capacitors are combined.

Combination of capacitors:

1. Capacitors in series
2. Capacitors in parallel

## Capacitors in parallel

When capacitors are connected in parallel, the potential difference V across each is same and the charge on C1, C2 and C3 is different i.e q1, qand q3. The total charge q is given by

q = q1+ q2 + q3

the potential across each capacitor is same thus q1 = C1V

q2 = C2V and q3 = C3V

If C is equivalent capacitance then

q = CV

Thus CV = C1V + C2V + C3V

Or

C = C1 + C2 + C3

Charge on capacitor

Let two capacitors are connected in parallel, let Q be the total charge, Let Q1 be the charge on a capacitor capacity C1 and Q2 be the charge on a capacitor capacity C2.
Since both capacitors have the same potential from formula V = Q/C we get, ## Capacitors in series

The capacitor is said to be connected in series if the charge on each individual capacitor is same.

In this situation, V = V1 + V2 + V3

If C is the effective capacitance of combination then we know that, 