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Unformatted text preview: SOLUTIONS, ASSIGNMENT 18 27.1.I DENTIFY and S ET U P : Apply Eq.(27.2) to calculate . F r Use the cross products of unit vectors from Section 1.10. E XECUTE : ( 29 ( 29 4 4 ˆ ˆ 4.19 10 m/s 3.85 10 m/s = + × +  × v i j r (a) ( 29 ˆ 1.40 T = B i r ( 29 ( 29 ( 29 ( 29 8 4 4 ˆ ˆ ˆ ˆ 1.24 10 C 1.40 T 4.19 10 m/s 3.85 10 m/s q = × =  × × ×  × × F v B i i j i r r r ˆ ˆ ˆ ˆ ˆ 0, × = × =  i i j i k ( 29 ( 29 ( 29 ( 29 ( 29 8 4 4 ˆ ˆ 1.24 10 C 1.40 T 3.85 10 m/s 6.68 10 N =  × × =  × F k k r E VALUATE : The directions of and v B r r are shown in Figure 27.1a. The righthand rule gives that × v B r r is directed out of the paper (+ zdirection). The charge is negative so F r is opposite to ; × v B r r Figure 27.1a F r is in the  z direction. This agrees with the direction calculated with unit vectors. (b) E XECUTE : ( 29 ˆ 1.40 T = B k r ( 29 ( 29 ( 29 ( 29 8 4 4 ˆ ˆ ˆ ˆ 1.24 10 C 1.40 T 4.19 10 m/s 3.85 10 m/s q = × =  × + × × × × F v B i k j k r r r ˆ ˆ ˆ ˆ ˆ ˆ , × =  × = i k j j k i ( 29 ( 29 ( 29 ( 29 ( 29 4 4 4 4 ˆ ˆ ˆ ˆ 7.27 10 N 6.68 10 N 6.68 10 N 7.27 10 N =  × + × = × + × F j i i j r E VALUATE : The directions of and v B r r are shown in Figure 27.1b. The direction of F r is opposite to × v B r r since q is negative. The direction of F r computed from the righthand rule agrees qualitatively with the direction calculated with unit vectors....
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This note was uploaded on 03/11/2010 for the course PHYSICS 1523 taught by Professor Dfs during the Fall '10 term at Dallas.
 Fall '10
 dfs

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