Energy of a capacitor

E=12CU2E=\tfrac12 CU^2

Result unit: J (joule)

What it describes

The energy stored in a charged capacitor.

Symbols

EE
energy
[J]
CC
capacitance
[F]
UU
voltage
[V]

Where it comes from

A charged capacitor stores energy in its electric field; it grows with the square of the voltage. Released, it gives a short pulse (e.g. a camera flash, a defibrillator).

When to use it

Energy stores, camera flashes, defibrillators.

Example

A 2 mF capacitor is charged to 100 V. Calculate the stored energy.
SubstitutionC=0.002C=0.002 F, U=100U=100 V.
ResultE=12⋅0.002⋅1002=10E=\tfrac12\cdot0.002\cdot100^2=10 J.

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