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problem21_87

# University Physics with Modern Physics with Mastering Physics (11th Edition)

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21.87: a) = 29 + = + = + = y x dE y x a dy kQx dE y x a dy kQ y x dq k dE and ( with ) ( ) ( 2 3 2 2 2 2 2 2 . ) ( 2 3 2 2 y x a dy KQy + - Thus: + πε = + πε = + = a x a x x Q x a a x a Qx y x dy a Qx πε E 0 2 1 2 2 0 2 2 1 2 2 0 2 3 2 2 0 ) ( 4 1 ) ( 1 4 1 ) ( 4 1 + - - = + - = 2 1 2 2 0 0 2 3 2 2 0 ) ( 1 1 4 1 ) ( 4 1 a x x a Q πε y x ydy a Q πε E a y b) (a). in given are and where and y x y y x x E E qE F qE F - = - = c) . 2 4 1 2 4 1 ) ) / 1 ( 1 ( 4 1 , For 3 0 2 2 0 2 1 2 2 0 x qQa πε x a ax qQ πε x a ax qQ πε F a x y = + - = - Looks dipole-like in y -direction
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