241-27_Lec-13

# 241-27_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 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
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 Magnetic Force F qv B  Force F exerted on charge q with velocity v moving at angle q relative to magnetic field B .
October 5, 2010 University Physics, Chapter 27 5 Particle Orbits in Uniform B Recall centripetal acceleration Newton’s second law So, for a charged particle q in circular motion in a magnetic field B Or m v 2 r qvB m v r qB p r qB a v 2 r F ma A particle with charge q and mass m moves with velocity v perpendicular to a uniform magnetic field B . The particle will move in a circle with a constant speed v and the magnetic force F = qvB will keep the particle moving in a circle.

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Charged Particle Entering Uniform Magnetic Field B 2 . v qvB m r mv r const qB  Constant speed circular motion vB Mass spectrometer
Charged Particle Entering Uniform Magnetic Field B 22 2 v qB f rm qB f m    Cyclotron frequency proportional to B proportional to q/m independent of v 12 m T f qB Cyclotron period Mass spectrometer 2 2 11 qBr mv m q V m    2 m B r qV  2 v F ma qvB m r

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

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