hmwk3q1 - Homework set 3 1. Jackson problem 3.1 Please do...

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Homework set 3 1. Jackson problem 3.1 Please do not completely solve this problem. Rather it is easier to split this problem into a sum of two problems by superposition: one which is completely symmetric and one which is antisymmetric. What are these two problems? What series of special functions would you use to solve for the potential? What property of these polynomials are you exploiting by splitting this problem into two problems? 2. For the example of a Sphere With a Speci±ed Potential presented in class (Sec. IA.2) a point charge is now introduced along the polar axis a distance d from the center of the sphere, but the charge is also added and redistributed on the sphere so as to maintain the above boundary condition. Now ±nd the potential for all a < r < d . 3. The surface of a nearly spherical conductor is speci±ed by r ( θ ) = a " 1 + X l =0 δ l P l (cos θ ) # , where δ l ¿ 1.
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hmwk3q1 - Homework set 3 1. Jackson problem 3.1 Please do...

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