MIT6_641s09_exam2006 - MIT OpenCourseWare http:/

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
MIT OpenCourseWare 6.641 Electromagnetic Fields, Forces, and Motion Spring 2009 For information about citing these materials or our Terms of Use, visit: .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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 ?
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

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.

Page1 / 5

MIT6_641s09_exam2006 - MIT OpenCourseWare http:/

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online