2_2 - PHY 5346 HW Set 2 Solutions Kimel 5. 2.2 The system...

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Unformatted text preview: PHY 5346 HW Set 2 Solutions Kimel 5. 2.2 The system is described by a) Using the method of images x with y b) a2 y 0 1 4 0 q q y y |x | |x | , and q q |xa 0 x |xa n a y 0 1 4 0 x x y 2 2 q 2xy cos 1/2 y2 a2 x y 2 2 q 2xy cos 1/2 q 1 4 y 2 a 2 Note q induced a 2 d q 1 a 2 2a 1 4 q induced c) y2 a2 y2 a 1 2ay cos 3/2 1 1 dx y2 a2 2 y2 2ayx q 3/2 , where x cos q a a2 2 a a2 qq q 2 ay 1 , the force is attractive, to the right. 4 0 a 2 y 2 4 0 y y 2 d) If the conductor were fixed at a different potential, or equivalently if extra charge were put on the conductor, then the potential would be q q 1 x V 4 0 |x | y | |x y and obviously the electric field in the sphere and induced charge on the inside of the sphere would remain unchanged. |F| ...
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