problem22_57

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

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22.57: a) The total charge: ] / [ 4 ) / 1 ( 4 0 3 0 0 2 2 0 Rdr r dr r dr r R r q R R R - = - = π ρ π . 3 12 4 12 4 ] 4 3 [ 4 3 3 0 3 3 3 0 Q πR Q πR ρ πR R R πρ q = = = - = b) , R r all the charge Q is enclosed, and: , / ) 4 ( 2 0 4 1 0 2 r Q πε E ε Q πr E = = = Φ the same as a point charge. c) ). then , 3 3 R r q( Q(r) R r = ( 29 . 4 ) 1 ( 4 ) ( Also, 4 3 0 2 0 4 3 R r r πρ dr r R r ρ π r Q - = - = - = - = - = R r R r kQ R r R r r kQ
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