4321_HW4FA08 - -q-q+qaaRabPhysics 4321 Homework Set 4...

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Unformatted text preview: -q-q+qaaRabPhysics 4321 Homework Set 4 September 22, 2008 Due: September 29, 2008 Recall that the units vectors parallel to x, y, and z are given by x^, y^,and z^, respectively. 1. Calculate the potential on the axis of a uniformly charged solid cylinder a distance zfrom its center. The length of the cylinder is L, its radius is R, and the charge density is a constant . You may assume that z> L/2 & you are outside the cylinder. 2. Check that the equation for the potential V(r) = (1/4o) [(r)/r-r&|]dsatisfies Poissons equation. Apply the Laplacian and use the properties of the Dirac delta function. 3. Use Gausss law and symmetry to find the electric field inside and outside a long, hollow cylindrical tube that carries a uniform surface charge density . Check that the result is consistent with the boundary condition for the electric field (equation 2.33). 4. Three charges are situated at the corners of a square of side aas shown. (a) How much work is required to bring in a fourth charge +...
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This note was uploaded on 02/20/2012 for the course PHYS 1101 taught by Professor Lowellwood during the Fall '10 term at University of Houston.

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