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phys documents (dragged) 6 - Chapter 2 Electricity &...

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Chapter 2 2.1 The Maxwell equations The classical electromagnetic feld can be described by the Maxwell equations . Those can be written both as diFFerential and integral equations: ± ± ± ( ± D · ± n ) d 2 A = Q free , included · ± D = ρ free ± ± ± ( ± B · ± n ) d 2 A =0 · ± B =0 ² ± E · d ± s = - d Φ dt ∇× ± E = - ± B t ² ± H · d ± s = I free , included + d Ψ dt ∇× ± H = ± J free + ± D t ±or the ²uxes holds: Ψ = ± ( ± D · ± n ) d 2 A , Φ = ± ( ± B · ± n ) d 2 A . The electric displacement ± D , polarization ± P and electric feld strength ± E depend on each other according to: ± D = ε 0 ± E + ± P = ε 0 ε r ± E , ± P = ± p 0 / Vol , ε r =1+ χ e , with χ e = np 2 0 3 ε 0 kT The magnetic feld strength ± H , the magnetization ± M and the magnetic ²ux density ± B depend on each other according to: ± B = μ 0 ( ± H + ± M )= μ 0 μ r ± H , ± M = ± m/ Vol , μ r =1+ χ m , with χ m = μ 0 nm 2 0 3 kT 2.2 Force and potential The Force and the electric feld between 2 point charges are given by: ± F 12 = Q 1 Q 2 4 πε 0 ε r r 2 ± e r ; ± E = ± F Q The LorentzForce is the Force which is Felt by a charged particle that moves through a magnetic feld. The
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