problem23_84

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

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23.84: a) We have : So ). 3 ( ) , , ( 2 2 2 z y x A z y x V + - = k j i k j i E ˆ 2 ˆ 6 ˆ 2 ˆ ˆ ˆ Az Ay Ax z V y V x V - + - = - - - = b) A charge is moved in along the z -axis. So the work done is given by: = + = - = = 0 0 2 0 2 0 0 0 ) ( ) 2 ( ˆ z z qz W A z Aq dz Az q dz q W k E . m V 640 m) 250 . 0 )( C 10 5 . 1 ( J 10 00 . 6 2 2 6 5 = × × = - - A c) . ˆ m V 320 - ˆ m) 250 . 0 ( ) m V 640 ( 2 ) 250 . 0 , 0 , 0 ( 2 k k E = - = d) In every plane parallel to the y z x , plane - is constant, so: , ) , , ( 2 2 2 2 2 R A C V z x C Az Ax z y x V + = + - + = which is the equation for a circle since
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  • Work, ∂x ∂y ∂z, E=− i− j−

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