prelim1sol08 - ECE 3030 Prelim 1 Solutions 2008/10/30...

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Unformatted text preview: ECE 3030 Prelim 1 Solutions 2008/10/30 Problem 1: Image problem with a 1 m thick perfect conductor. a. Refer to your workshop notes where I sketched the problem. b. vector E ( vector r = (0 , 8 , 0)) = Q 4 bracketleftbig 1 4 2 1 12 2 bracketrightbig r = 1 . 499 10 9 x V/m c. vector E ( vector r = (8 , 90 , 90 )) = 1 . 499 10 9 vector r V/m d. vector E ( vector r = (0 , 8 , 0)) = 0x V/m e. vector E ( vector r = (8 , 90 , 270 )) = 0 vector r V/m Problem 2: Battery with concentric spheres. a. (1) 1 ( r ) = C , 2 ( r ) = C 1 + C 2 r , 3 ( r ) = C 3 , 4 ( r ) = C 4 + C 5 r , 5 ( r ) = C 6 , 6 ( r ) = C 7 + C 8 r . b. The magnitude of the total charge on the inside and outside surfaces of the middle shell is the same, but have the opposite sign. So 2 c 2 c = 2 b 2 b and c = b 2 c 2 b . c. Boundary conditions: 2 ( a ) = 1 ( a ), 3 ( b ) = 4 ( b ), 4 ( c ) = 5 ( c ), 5 ( d ) = 6 ( d ),...
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This note was uploaded on 11/26/2009 for the course ECE 3030 at Cornell University (Engineering School).

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prelim1sol08 - ECE 3030 Prelim 1 Solutions 2008/10/30...

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