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Lecture13_Kim - Lecture 13-1 PHYS241 Question 1 October 4...

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Lecture 13-1 PHYS241 Question 1 October 4, 2011 Are you here ? a.Yes b. No
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Lecture 13-2 Right-Hand Rule for (Review) F qv B
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Lecture 13-3 PHYS241 Question 2 October 4, 2011 A charge q is moving with velocity v in a region where magnetic field B is present. a. No force acts on the charge due to the magnetic field. b. A force that depends only on q acts on the charge. c. A force that depends only on B acts on the charge. d. A force that depends only on v acts on the charge. e. A force that depends on q , B , and v acts on the charge.
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Lecture 13-4 Charged Particle Entering Uniform Magnetic Field B (1) . mv r const qB qB v r m Constant speed circular motion v B Mass spectrometer 2 v qB F ma qvB m v r r m
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Lecture 13-5 Charged Particle Entering Uniform Magnetic Field B (2) 2 2 2 v qB f r m qB f m Cyclotron frequency proportional to B proportional to q/m independent of v 1 2 m T f qB Cyclotron period Mass spectrometer 2 2 1 1 2 2 qBr mv m q V m 2 2 2 m B r q V 2 v qB F ma qvB m v r r m
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Lecture 13-6 Cyclotron "Dees" in constant magnetic field B Alternating voltage V is applied between the Dees at the orbital frequency f : "Magnetic Resonance Accelerator" 2 2 B m q f c c Particle will acquire an additional kinetic energy T = qV each time it crosses the gap (ie twice per revolution.. E=0 in Dees!).
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