Combination of Capacitors: How Capacitors Are Connected: Parallel Combination of Capacitors (For CBSE, ICSE, IAS, NET, NRA 2022)

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Title: Combination of Capacitors

  • When several capacitors are connected in a series combination, reciprocal of the equivalent capacitance is the sum of the reciprocals of the individual capacitances.
  • When several capacitors are connected in a parallel combination, the equivalent capacitance is the sum of the individual capacitances.

How Capacitors Are Connected?

Parallel and Series Combination of Capacitor - YouTube
  • We are also interested to calculate the amount of charge stored in a system where two or more capacitors are connected.
  • Combination can be made in many ways.
  • Combination is connected to a battery to apply a potential difference (V) and charge the plates (Q) .
  • We can define the equivalent capacitance of the combination between two points to be

Parallel Combination of Capacitors

Parallel Combination of Capacitors

When capacitors are connected in parallel, the potential difference V across each is the same and the charge on C1, C2 is different i.e.. , Q1 and Q2, Q3

The total charge is Q given as:

Since,

Series Combination of Capacitors

Series Combination of Capacitors

When capacitors are connected in series, the magnitude of charge Q on each capacitor is same.

Total voltage will be:

Since,

In series, each capacitor stores same amount of charge, so,