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Unformatted text preview: , and (b) the charge Q induced on the boss. Hint: use three image charges. q 3. Consider a potential problem in the half-space dened by z 0, with Dirichlet boundary conditions on the plane z = 0 (and at innity) (a) Write down the appropriate Greens function G ( r , r ). (b) If the potential on the plane z = 0 is specied to be = V inside a circle of radius a centered at the origin, and = 0 outside that circle, nd an integral expression for the potential at the point P specied in terms of the cylindrical coordinates ,,z . (c) Show, that along the axis of the circle = 0, the potential is given by = V 1-z a 2 + z 2...
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- Fall '10