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Electromagnetism Laws and Equations

Electromagnetism laws and EquationsAndrew McHutchonMichaelmas 2013 Contents1 ElectricE- andD-fields .. Force .. electric fields .. Gauss s Law .. Coulomb s Law .. Electric Potential .. difference in a capacitor .. Capacitors .. to capacitors .. capacitance .. force between plates .. The Method of Images ..82 MagneticH- andB-fields .. Ampere s Law .. Faraday s Law .. The Lorentz Force .. The Biot-Savart Law .. 121 ElectricE- andD-fieldsElectric fields are linear (obey superposition), vector the electric field strength andDis known as theelectric flux density. They are related by:D= 0 rEwhere, 0is thepermittivity of free space, and ris therelative permittivity. TheD-field is independent of thematerial, whereas theE-field is not. This is an important use ofD. The product 0 ris often written . Electrostatic ForceThe electric field strength and the force exerted on a charged particle by the field are related by,F=Eq(1)whereqis the charge on the particle in Uniform electric fieldsA uniform field is one in which the electric field is the same at every point.

1.1.2 Uniform electric elds A uniform eld is one in which the electric eld is the same at every point. It is most commonly encountered between two parallel, conducting plates, ignoring edge e ects.

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