ch29-p071 - b gb g 71. We use B x , y , z = 0 4 is r r 3 ,...

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71. We use Bxyz i s rr ,, bg b g µ 0 3 4 π∆ G G , where ∆∆ G ss = ± j and G G rxyz k =++ ±± i j . Thus, G G G is x i y z k xyz is z x s ± ± . ej ch = F H G I K J ×+ + ++ = 0 222 32 0 22 4 4 π π jj i k (a) The field on the z axis (at z = 5.0 m) is () ( )( )( ) 72 10 3/2 2 ˆ 4 10 T m/A 2.0A 3.0 10 m 5.0m i ˆ 0, 0, 5.0m (2.4 10 T)i. 400 5 . 0 m B −− ×⋅ × == × G π π (b) G B (0, 6.0 m, 0) = 0, since x = z = 0. (c) The field in the xy plane, at ( x, y ) = (7,7), is 2 11 2 ˆ (4 T m/A)(2.0A)(3.0 10 m)( 7.0m)k ˆ 7.0m,7.0m,0 ( 4.3 10 T)k. 4 7.0m 7.0m 0 B ×
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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