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Ch28-31sheet - Ch 28 Biot-Savart ~ B = μ 4 π R Id ~ l ×...

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Unformatted text preview: Ch. 28 Biot-Savart: ~ B = μ 4 π R Id ~ l × r r 2 outside straight conductor: B = μ I/ (2 πx ) inside: B = μ I 2 πR r R parallel conds: F/L = μ I 1 I 2 / (2 πr ) B at center of circular current loop: B = μ NI/ (2 a ) for N loops Ampere’s Law: H ~ B · d ~ l = μ I encl = μ R ~ j · d ~ A inside solenoid: B = μ nI (n: turns/length) B toroid = μ NI 2 πr Ch. 29 motional emf: Δ V = vBL Faraday’s Law: V loop =- d Φ B dt =- d dt R surf ~ B · d ~ A Changing B, no motion: V loop =- N dB dt A for N loops Lenz’s Law: induced currents produce flux to oppose the original change in Φ B induced E field: E = 1 2 πr d Φ dt AC generator: Φ B = N ~ B · ~ A = NBA cos( ωt ) V =- d Φ B dt = NBAω sin( ωt ) mag dipole of orbiting particle: μ = evr 2 = e 2 m L (L = ang. mom.) mag materials: ~ B inside = ~ B + μ ~ M , where mag- netism ~ M = ~ μ tot /V B inside = K m B = (1+ χ m ) B ( K m : relative perme- ability (near 1), χ m : mag susceptibility) χ m : dia =- 10- 5 , para = 10...
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