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Unformatted text preview: Lecture 14 Lecture 141 Charged Particle Entering ⊥ Uniform Magnetic Field B 2 2 2 v qB f r m qB f m π π ω π = = = = Cyclotron frequency h proportional to B h proportional to q/m h independent of v 1 2 m T f qB π = = Cyclotron period Mass spectrometer 2 2 1 1 2 2 qBr mv m qV m = = Δ 22 2 m Br q V ∴ = Δ 2 v F ma qvB m r = ⇒ = Lecture 14 Lecture 142 Cyclotron • "Dees" in constant magnetic field B • Alternating voltage V is applied between the Dees at the orbital frequency f : • "Magnetic Resonance Accelerator" π π ω 2 2 B m q f c c = = •Particle will acquire an additional kinetic energy Δ T = qV each time it crosses the gap ( ie twice per revolution.. E =0 in Dees!). mv r qB = increases as v does problems → synchrotron Lecture 14 Lecture 143 More complicated situations? helical motion (spiral) v is not perpendicular to B Van Allen belts Also nonuniform B magnetic bottle electron in magnetic field Lecture 14 Lecture 144 Example a)Increase...
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This note was uploaded on 04/07/2008 for the course PHYS 241 taught by Professor Wei during the Spring '08 term at Purdue.
 Spring '08
 Wei
 Charge, Mass

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