27_Lec-13

27_Lec-13 - Physics 241 Lecture 13 Y. E. Kim October 5,...

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Physics 241 Lecture 13 Y. E. Kim October 5, 2010 Chapter 27, Sections 3 ² 7 October 5, 2010 University Physics, Chapter 25 and 26 1
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Physics 241 » Question 1 » October 5, 2010 To you, the Exam I was a. Much more difficult than expected b. More difficult than expected c. About as expected d. Easier than expected e. Much easier than expected
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Physics 241 » Question 2 » October 5, 2010 On the Exam I, you think you did a. Very well b. Well c. Average d. Poorly e. Very poorly
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October 5, 2010 University Physics, Chapter 27 4 Reminder ² Magnetic Force F qvB u Force exerted on charge q with velocity v moving at angle T relative to magnetic field B .
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October 5, 2010 University Physics, Chapter 27 5 Particle Orbits in Uniform B ± Recall centripetal acceleration ± 1HZWRQ·V VHFRQG ODZ ± So, for a charged particle q in circular motion in a magnetic field B ± Or m v 2 r qvB qB o p a 2 F A particle with charge and mass moves with velocity perpendicular to a uniform magnetic field . The particle will move in a circle with a constant speed and the magnetic force = will keep the particle moving in a circle.
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Charged Particle Entering A Uniform Magnetic Field B 2 . v qvB m r c on st qB Constant speed circular motion B A Mass spectrometer
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Charged Particle Entering A Uniform Magnetic Field B 22 2 v qB f r m SS ZS Cyclotron frequency ¾ proportional to B ¾ proportional to q/m ¾ independent of v 12 T S Cyclotron period Mass spectrometer 2 2 11 qBr q V §· ' ¨¸ ©¹ 2 Br ? ' 2 F a qvB ±
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Cyclotron ± "Dees" in constant magnetic field B ± Alternating voltage V is applied between the Dees at the orbital frequency f: Å "Magnetic Resonance Accelerator" S Z 2 2 B m q f c Å 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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27_Lec-13 - Physics 241 Lecture 13 Y. E. Kim October 5,...

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