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phys documents (dragged) 16

# phys documents (dragged) 16 - Chapter 2 Electricity...

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Chapter 2 Electricity & Magnetism 2.1 The Maxwell equations The classical electromagnetic field 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 E · ds = - d Φ dt ∇ × E = - B t H · ds = I free , included + d Ψ dt ∇ × H = J free + D t For the fluxes holds: Ψ = ( D · n ) d 2 A , Φ = ( B · n ) d 2 A . The electric displacement D , polarization P and electric field 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 field strength H , the magnetization M and the magnetic flux 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 field 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 field. The
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