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Unformatted text preview: R, ) = V (3 cos 2 ( ) 1), where V is a constant. Calculate the potential inside the sphere as a function of position r and angle . 5. (30 points) Two semi innite grounded conducting regions meet at right angles. In the region between them, there is a point charge q , at a position ( a, b ), situated as shown below. The grey region is conductor and at potential V = 0. The conductor extends innitely both into and out of the page. Set up the image conguration and calculate the potential in this region without conductor. y x V=0 a b q Additional Information: P ( x ) = 0 , P 1 ( x ) = x, P 2 ( x ) = 3 x 2 1 2 , P 3 ( x ) = 5 x 3 3 x 2 Basic equations for electrostatics: F = q E , E = , E = V, E = 0 In spherical coordinates 2 V = 1 r 2 r ( r 2 V r ) + 1 r 2 sin (sin V ) + 1 r 2 sin 2 2 V 2 ....
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- Winter '08