Lecture13_Kim-s - Lecture 13-1 Lecture 13-2 Right-Hand Rule...

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1 Lecture 13-1 Chapter 26 The Magnetic Field 26-2 Motion of a Point Charge in a Magnetic Field 26-3 Torques on Current Loops and Magnets 26-4 The Hall Effect Lecture 13-2 Right-Hand Rule for (Review) F qv B = × ca a ca Lecture 13-3 Charged Particle Entering Uniform Magnetic Field B (1) . mv r const qB qB v r m = = = Constant speed circular motion v B a ca Mass spectrometer 2 v qB F ma qvB m v r r m = = = Lecture 13-4 Charged Particle Entering Uniform Magnetic Field B (2) 2 2 2 v qB f r m qB f m π ϖ = = = = Cyclotron frequency h proportional to B h proportional to q/m h 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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2 Lecture 13-5 Example: Proton in B Field • Consider a region of uniform magnetic field (green dots) coming out of the page with magnitude B = 1.2 mT. A proton with kinetic energy K = 8.48 10 -13 J enters the field, moving vertically from the bottom to the top. Question: Calculate the magnetic deflecting force on the proton. Answer: Use F = qvB sin θ . First, figure out the velocity v . K = 1 2 mv 2 v = 2 K m v = 2 8.48 10 - 13 J ( 29 1.67 10 - 27 kg = 3.2 10 7 m/s Lecture 13-6 Direction of F : Use Right Hand Rule Example: Proton in B Field (2) Small force but large acceleration for light particle ( 29( 29( 29 19 7 3 15 15 12 2 27 sin 1.60 10 C 3.2 10 m/s 1.2 10 T sin90 6.1 10 N 6.1 10 N 3.7 10 m/s 1.67 10 kg F qvB F F F a m - - - - - = = ° = = = = Angle between B -field direction and velocity of the proton:
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This note was uploaded on 02/21/2012 for the course PHY 241 taught by Professor Virgil.e.barnes during the Spring '11 term at Purdue University-West Lafayette.

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Lecture13_Kim-s - Lecture 13-1 Lecture 13-2 Right-Hand Rule...

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