Science & engineering

Capacitor charge sharing

Calculate the ideal final voltage when two charged capacitors are connected in parallel.

Capacitor charge sharing
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A clear answer. Here’s how.

Uses conserved signed charge: Vfinal=(C₁V₁+C₂V₂)/(C₁+C₂), with consistently labelled plate polarity. Reports initial/final stored energies and the energy difference dissipated or radiated during equalisation. The ideal final-state model does not predict peak current, transient ringing, polarity suitability, ESR or ratings.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

First capacitance (µF)
100
First signed initial voltage (V)
5
Second capacitance (µF)
100
Second signed initial voltage (V)
0

Example result

Final common voltage
2.5 V
Total signed charge
0.0005 C
Initial stored energy
0.00125 J
Final stored energy
0.000625 J
Equalisation energy difference
0.000625 J