1_4 - PHY 5346 HW Set 1 Solutions Kimel 3 1.4 Gauss's Law E...

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Unformatted text preview: PHY 5346 HW Set 1 Solutions Kimel 3. 1.4 Gauss's Law: E da Q enclosed 0 Q a) Conducting sphere: all of the charge is on the surface 4a 2 Q E4r 2 0, r a E4r 2 0 , r a E 0, r a E Q r, r a 4 0 r 2 b) Uniform charge density: E4r 2 E4r 2 4 3 Q a 3 , r a, 0, r a. Qr , ra 4 0 a 3 Q E , ra 4 0 r 2 E Qr 3 3 0a Q 0 c) A r n Q 4 r 2 drAr n 4Aa n3 / n 3 0, r a E4r 2 n3 Q Q 4r n3 / n 3 E n3 4 0 r 2 4 0 a Q E , ra 4 0 r 2 E Q , 4 0 ra ra r n3 a n3 , ra n3 Q n r ,ra 4a n3 1. n 2. E Q , ra 4 0 r 2 2. n 2. Qr 3 , 4 0 a 5 Q E , 4 0 r 2 E ra ra ...
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This note was uploaded on 01/10/2012 for the course PHYSIS 506 taught by Professor Smith during the Spring '08 term at University of Arkansas Community College at Morrilton.

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