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Unformatted text preview: EE 1 - Homework #3 Solutions Spring 2009 (1) (15 Points) Charge Q 1 is uniformly distributed over a thin spherical shell of radius a , and charge Q 2 is uniformly distributed over a second spherical shell of radius b , with b > a . Apply Gausss law to find E in the regions: (a) R < a , (b) a < R < b , and (c) R > b . (a) R < a Using Gausss Law, Z S ~ E ~ dS = Q enc and choosing a spherical surface within the region R < a , we see that no charge exists inside the surface. Therefore, ~ E = 0 (b) In the region a < R < b , the total charge inside is Q tot = Q 1 . Thus, Z S ~ E ~ dS = Q 1 E Z 2 Z R 2 sindd = Q 1 ~ E = R Q 1 4 R 2 (c) In the region b < R < c , the total charge inside is Q tot = Q 1 + Q 2 . Thus, ~ E = R Q 1 + Q 2 4 R 2 1 (2) (5 Points) Why is the electric potential at a point in space always defined relative to the potential at some reference point?...
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This note was uploaded on 06/06/2009 for the course EE EE 1 taught by Professor Ozcan during the Spring '09 term at UCLA.
- Spring '09