Problem.Set.2.S09

Problem.Set.2.S09 - Q uniformly distributed over a flat...

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Phys 411 Set 2 Jackson problem 1.3 Using the Dirac delta function in the appropriate coordinates express the following charge distributions as three dimensional charge densities ( r ) . 1. In spherical coordinates, a charge Q uniformly distributed over a spherical shell of radius R . 2. In cylindrical coordinates, a charge per unit length, , uniformly distributed over a cylindrical surface of radius b . 3. In cylindrical coordinates, a charge Q uniformly distributed over a flat circular disk of negligible thickness and radius R . 4. In spherical coordinates, a charge
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Unformatted text preview: Q uniformly distributed over a flat circular disk of negligible thickness and radius R . 5. Jackson problem 1.5 The time averaged potential of a neutral hydrogen atom is given by ( r ) = q e r r 1 + r 2 where q (= 4.8 10 10 statcoul ) is the magnitude of the electronic charge and = a / 2, a being the Bohr radius. Find the distribution of charge (both continuous and discrete) which will give this potential and interpret your result physically....
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This note was uploaded on 12/19/2010 for the course PHYS 411 taught by Professor G during the Spring '10 term at Missouri S&T.

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