Current Electricity: Capacitance

Description

This note covers the topic of capacitance. It provides an overview of the formula for capacitance, parallel plate capacitors and the energy stored by capacitors. It is aimed at a leaving certificate student or someone who has an interest in learning more about capacitance.
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Resource summary

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Capacitance  Scalar quantity Unit = farad Symbol = C

C = Q/V Q = charge V = voltage

Capacitor An electric device capable of storing electric charge In an electric circuit, electrons flow from the negative battery terminal to the right-hand plate of the capacitor, and then from the left-hand plate of the capacitor to the positive battery terminal

Parallel Plate CapacitorPair of metal plates separated by a dielectric (thin sheet of insulated material)Factors affecting capacitance: Common area shared by the plates Permittivity of medium between the plates Distance between the plates

Capacitance of a parallel plate capacitor: C = εA/d ε = permittivity A = common area d = distance

Energy stored in a capacitor: The work done by the battery to charge the capacitor W = 1/2 CV²

Capacitors conduct A.C. but not D.C.  When connected to an A.C. supply, electron flow changes direction as the polarity changes. In a D.C. circuit, the current flows in one direction. Once the capacitor is charge to the same voltage as the battery, no more current flows.

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