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emhw01 - Electromagnetic Theory I Problem Set 1 Due 29...

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Electromagnetic Theory I Problem Set 1 Due: 29 August 2011 This and all future homework will be posted on the course webpage: http://www.phys.ufl.edu/ thorn/homepage/eminfo.html In the homework assignments, I will refer to problems in Jackson by prefixing the problem number with J. 1. a) Solve for the motion of a point particle with charge q and mass m in constant homoge- neous electric and magnetic fields that are perpendicular to each other. For definiteness take B = B ˆ z parallel to the z -axis and E = E ˆ y parallel to the y -axis. Take the initial condition that the particle is at rest at the origin of coordinates. You may assume that the speed of the particle remains much smaller than the speed of light throughout the motion. b) What condition on the fields must hold if the motion stays nonrelativistic throughout? c) Draw the trajectory followed by the particle projected onto the x - y plane, indicating the coordinates of all the significant features of the motion.
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