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Unformatted text preview: Solutions, Assignment 21 28.11. I DENTIFY and S ET U P : The magnetic field produced by an infinitesimal current element is given by Eq. (28.6). 2 4 I d r l r B r r = As in Example 28.2 use this equation for the finite 0.500mm segment of wire since the 0.500 mm l = length is much smaller than the distances to the field points. 2 3 4 4 I I r r = l r l r B r r r r = I is in the ( 29 3 direction, so 0.500 10 m z + l k r = E XECUTE : (a) Field point is at x = 2.00 m, y = 0, z = 0 so the vector r r from the source point (at the origin) to the field point is ( 29 2.00 m . r i r = ( 29 ( 29 ( 29 3 3 2 0.500 10 m 2.00 m 1.00 10 m + l r k i j r r = = ( 29 ( 29 ( 29 ( 29 ( 29 7 3 2 11 3 1 10 T m/A 4.00 A 1.00 10 m 5.00 10 T 2.00 m B j j r = = (b) ( 29 2.00 m , 2.00 m. r = r j r = ( 29 ( 29 ( 29 3 3 2 0.500 10 m 2.00 m 1.00 10 m  l r k j i r r = = ( 29 ( 29 ( 29 ( 29 ( 29 7 3 2 11 3 1 10 T m/A 4.00 A 1.00 10 m 5.00 10 T 2.00 m  =  B = i i r (c) ( 29 ( 29 ( 29 2.00 m , 2 2.00 m . r = r = i + j r ( 29 ( 29 ( 29 ( 29 ( 29 3 3 2 0.500 10 m 2.00 m 1.00 10 m + = l r = k i j j i r r ( 29 ( 29 ( 29 ( 29 (...
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 Fall '10
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