MIT6_641s09_quiz2009

MIT6_641s09_quiz2009 - 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 Mid-Term Exam March 17, 2009 6.641 Formula Sheets appear at the end of this exam. In addition, an 8 ½ x 11” formula sheet (both sides) that you have prepared is allowed. 1. (25 points) R 0 S S ± 0 , T F ± A perfectly conducting hollow sphere of radius R is perfectly insulating ( T ± 0 )and filled with a uniform distribution of volume charge: S ± S 0 0 ² r ² R within a medium with permittivity F . The sphere is grounded at r ± R so that the scalar electric potential at r ± R is zero, ' ( r ± R ) ± 0 . There is no point charge at r ± 0 so that Er ( ± 0) must be finite. r a) What is the EQS electric field () ² r ² R ? E r for 0 b) What is the scalar electric potential where E r ±³´ ' r () ' r ?
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MIT6_641s09_quiz2009 - MIT OpenCourseWare http:/ocw.mit.edu...

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