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Part 07 · Electric fields and potential · Card 10 of 10

Capacitance

The charge stored per volt, C = Q/V, in farads. A capacitor stores energy U = 1/2 C V squared.

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Analogy

A small tank that holds charge instead of water.

Example

Capacitor

Q = C V = 10e-6 x 12 = 120e-6 CU = 1/2 x 10e-6 x 144U = 7.2e-4 J

In practice

A 10 microfarad capacitor at 12 V holds 120 microcoulombs and 0.72 mJ.

Practice

Flashcards

  • What is the formula for energy stored in a capacitor?U = 1/2 C V^2.

Questions people ask

Why do capacitors store energy?

Putting charge on plates takes work against the repulsion from charge already there. That work stays as electric potential energy in the field between the plates, equal to 1/2 C V squared. Releasing the charge through a circuit returns the energy, as in a camera flash.

What does a dielectric do?

A dielectric is an insulator placed between the plates. Its atoms polarise and weaken the field, so the plates hold more charge for the same voltage. The capacitance rises by a factor called the dielectric constant, which is 80 for water and about 4 for glass.