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Unformatted text preview: Electromagnetic Theory II Midterm Examination 3 March 2010 Instructions: There are 4 questions. Single part questions are worth 20 points, and 2 part questions are 15 points per part. Explain your reasoning in each case. Use SI units through out. Points will be deducted for gaps in logic, for errors in calculation, and incorrect units. A sheet of useful formulas is provided at the end of the exam booklet. 1. A particle of charge q is moving in static uniform electric and magnetic fields that are perpendicular to each other. You may assume E = E y and B = B z , with 0 < E < cB . a) (15 points) Find all possible initial velocities v such that the particle experiences no acceleration throughout its subsequent motion. b) (15 points) Find the magnitude of the magnetic field B in an inertial frame in which the electric field E = 0. (Hint: It is sufficient to consider invariants.) 1 2. (20 points) A particle of charge q and mass m has an initial velocity with magnitude v = c/ 2, half the speed of light, and with direction perpendicular to a static uniform magnetic field B = B z , which is assumed to fill all of space. Show that the trajectory of the particle is circular and find the time it takes to complete one orbit....
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 Spring '08
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