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Unformatted text preview: R carrying charge Q , immersed in a uniform external electric ²eld. (Hint: Take the z-axis parallel to the external ²eld, expressing its potential in spherical coordinates, taking the center of the sphere at the origin.) b) Now consider a hemispherical conductor of radius R attached to a grounded plane (the xy-plane) (i.e. the hemisphere-plane combination are all at zero potential). The top of the hemisphere is at z = R and its center is at the origin of coordinates. The electric ²eld, in the (empty) region above this conducting surface, approaches a uniform ²eld E ˆ z far from the hemisphere. Calculate the surface charge density everywhere on the conducting surface (plane and hemisphere). c) Calculate the total charge, on the hemisphere of part b), in terms of E and R . 15. J, Problem 3.4. 16. J, Problem 3.14. 1...
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This note was uploaded on 09/25/2011 for the course PHY 6346 taught by Professor Staff during the Spring '08 term at University of Florida.
- Spring '08