homework3 - Physics 321 Autumn Quarter 2015 Electrodynamics...

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Physics 321, Autumn Quarter 2015 Electrodynamics: Homework Assignment 3 (a) Turn in all problems and clearly note all constants and assumptions you use. (1-point penalty each otherwise) (b) Use 8 ½ x 11 paper & staple (1-point penalty each otherwise) Due 9:30 am Thursday October 22 1. Challenge problem. Equation 2.29 in Griffiths is the electrostatic potential at a field point in terms of a volume integral over all the charge in the system. What if, in addition, there’s a boundary somewhere with a specified electrostatic potential? Make use of “Green’s 2 nd Identity” (Griffiths problem 1.61d) to find the contribution to the electrostatic potential at the field point from this surface potential. Hints: V is a scalar function, as is 1/r. 2 1/ r ( ) = 4 πδ r ( ) . The contribution from the surface will undoubtedly involve an integration over that surface. Ignore the contribution from the gradient of the potential at the surface.
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