MIT6_641s09_exam2006

MIT6_641s09_exam2006 - 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 May 23, 2006 Spring 2006 Final Exam – Tuesday, May 23, 2006, 9 AM – noon. The 6.641 Formula Sheet is attached. You are also allowed to bring three 8 ½” x 11” sheet of notes (both sides) that you prepare. Problem 1 (25 points) y 0 (0 , ) c o s z Kx y K k y == A sheet of surface current of infinite extent in the y and z directions is placed at x = 0 and has distribution 0 , ) c o s z k y = = . The surface current flows in the z direction. Free space with no conductivity ( 0 σ = ) and magnetic permeability 0 μ is present for x < 0 while for 0 < x < s a perfectly insulating medium ( 0 = ) with magnetic permeability is present. The region for x > s is a grounded perfect conductor so that the magnetic field is zero for x > s. Because there are no volume currents anywhere, H χ = −∇ , where is the magnetic scalar potential. 0, = →∞ 0 0, = x z s a) What are the boundary conditions necessary to solve for the magnetic fields for x < 0 and for 0 < x < s ?
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This note was uploaded on 12/02/2010 for the course ECE 6.641 taught by Professor Zahn during the Spring '09 term at MIT.

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MIT6_641s09_exam2006 - MIT OpenCourseWare http:/ocw.mit.edu...

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