MIT6_641s09_exam2009

MIT6_641s09_exam2009 - MIT OpenCourseWare http:/ocw.mit.edu...

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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 Final Exam 5/20/2009 NOTE: 6.641 Formula Sheets at the end of exam. You are also allowed both sides of two 8½“x11” pages for 6.641 course material that you have prepared yourself. 1. 25 points y 0 (, 0 ) s i n s x yk σσ == x Depth D 0 V = a a 2 ε 0 x 1 b - b 0 V = A sheet of surface charge with surface charge distribution 0 ( , 0) sin s x x σ = = is placed at 0 y = , parallel and between two parallel grounded perfect conductors at zero potential at yb = − 2 and . The regions above and below the potential sheet have dielectric permittivities of ya = and 1 . Neglect fringing field effects. a) What are the electric potential solutions in the regions 0 and ? 0
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MIT6_641s09_exam2009 - MIT OpenCourseWare http:/ocw.mit.edu...

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