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MIT OpenCourseWare http://ocw.mit.edu 6.641 Electromagnetic Fields, Forces, and Motion Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.641 Electromagnetic Fields, Forces, and Motion Quiz 1 March 22, 2006 6.641 Formula Sheet appears at the end of this quiz. You are also allowed to bring one 8 ½” x 11” sheet of notes (both sides) that you prepare. 1. z q ε 0 σ = ∞ A charge q of mass m in free space is above a perfectly conducting ( σ = ) ground plane for z<0. The charge is released from rest at position z=d at t=0. Neglect the effects of gravity. (a) What is the velocity of the charge as a function of position z? (b) How long does it take the charge to reach the z=0 ground plane? Hint : dz = − ( z ) + d 3/ 2 tan 1 z zd d 1 1 1/ 2 d z [ ] z d Page 1 of 3 Image by MIT OpenCourseWare.
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