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Physics Problems 227

# Physics Problems 227 - ω = | q | B m f = | q | B 2 πm P =...

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Chapt. 29 Magnetic Fields Causing Forces 223 But this is OK, since we don’t require Newton physics to hold if we are not in classical limit. One must use relativistic dynamics to understand motion when not in the classical limit. a) ( vectorv/c vector β ) × ( vector β × vector E ). b) ( vectorv/c vector β ) × ( vector β × vector E ). c) ( vectorv/c + vector β ) × ( vector β × vector E ). d) ( vectorv/c + vector β ) × ( vector β × vector E ). e) vectorv × ( vector β × vector E/c ). 029 qmult 00430 1 4 5 easy deducto-memory: circling charges or helixing charges Extra keywords: circling charges. 16. Charged particles moving in magnetic fields tend to: a) travel in straight lines. b) travel in sinusoidal curves. c) move in zigzags. d) stop and start constantly. e) move in circles or helixes. 029 qmult 00440 1 1 3 easy memory: cyclotron quantities 17. The cyclotron quantities for a free charge of charge q , mass m , and velocity in the plane perpendicular to the magnetic field v per moving in a uniform magnetic field vector B and acted on by
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Unformatted text preview: ω = | q | B m , f = | q | B 2 πm , P = 2 πm | q | B . It may be hard to memorize these quantities, but one can always rederive them at the drop of a hat by equating the magnitudes of the centripetal force and the magnetic force on the charge: i.e., a) mV 2 per r = | q | V per B . b) m V 2 per r = | q | B . c) m V 2 per r = | q | V per B . d) V 2 per r = | q | V per B . e) V 2 per mr = | q | V per B . 029 qmult 00450 1 1 1 easy memory: cyclotron radius 18. A charged particle (charge q and mass m ) in a uniform magnetic ±eld v B with velocity vV perpendicular to the ±eld will move in a circle with the cyclotron radius given by: a) mV | q | B . b) 2 πm | q | B . c) | q | B 2 πm . d) qvV × v B . e) μ I 2 πr . 029 qmult 00460 1 4 1 easy deducto-memory: aurora and helixing charged particles Extra keywords: aurora...
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