9C_D_Summary_Magnetism

# 9C_D_Summary_Magnetism - Circular loop(full and broken...

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Magnetic force F m Magnetic field B ~ F m q v Magnetic induction ( Faraday Electric induction ( Biot-Savart-Maxwell F 12 = μ 0 4 π q 2 v 2 × q 1 v 1 × ˆ r 12 ( 29 r 12 2 = q 2 v 2 × B r 2 ( 29 B r 2 ( 29 = μ 0 4 π q 1 v 1 × ˆ r 12 r 12 2 Faraday-Lenz's law: ε m = E dl c = - d dt B dA S c ∫∫ Ampere-Maxwell B dl c = μ 0 I c 0 ε 0 d dt E dA S c ∫∫ d F 12 = I 2 dl 2 × μ 0 4 π I 1 dl 1 × ˆ r 12 r 12 2 = I 2 dl 2 × d B r 2 ( 29 d B r 2 ( 29 = μ 0 4 π I 1 dl 1 × ˆ r 12 r 12 2 Wave equation: 2 E = 1 c 2 2 E t 2 c = 1 ε 0 μ 0 F m = q v × B or d F m = I dl × B Cyclotron: mv 2 r c = qvB Velocity selection: v = E B Hall effect: E H = - v d × B Motion emf: ε m = B l v Magnetic dipole: m = IAˆ n Torque on m : τ =m × B B r 2 ( 29 = μ 0 4 π I 1 dl 1 × ˆ r 12 r 12 2 c Straight segment

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Unformatted text preview: Circular loop (full and broken) Solenoid: B = μ o nI Combinations of them B= B 1 + B 2 + B 3 +⋅⋅⋅ Motion emf: ε m = B l v Flip coil Eddy current sliding rods on rails Back emf: ε m = L dI dt Solenoid: L =μ n 2 A l LR circuits: ε m = L dI dt Poynting Vector of an EM wave: (intensity) S = 1 μ E × B Ampere's law B ⋅ dl c ∫ = μ I c +μ ε d dt E ⋅ dA S c ∫∫...
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9C_D_Summary_Magnetism - Circular loop(full and broken...

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