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hw4_p5406_s10

# hw4_p5406_s10 - HW 4 Phys5406 S10 due 1 Consider two innite...

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HW 4 Phys5406 S10 due 2/25/10 1) Consider two infinite area, conducting, parallel plates. The plates are separated by a distance D. They are maintained at constant potentials, V and V’ by baterries. Suppose there is an infinite plane of constant surface charge density σ between the plates a distance T from the plate at potential V’. The goal is to obtain the electric field everywhere between the plates. The problem is simple and can be solved in three ways so you can check your answer, however, you will see the ease and power of the Green function method.. a) Use only Gauss’s Law to calculate the field in terms of the given quantities. b) Obtain the particular solution for Φ for the given charge density, using Gauss’s Law. Add to it a solution of LaPlace’s equation to satisfy the boundary conditions. Then take the gradient to obtain the field. c) Use the reduced Green function g 1 to obtain Φ and then take the gradient. If there were

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