P29 074

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74. Letting B

x

= B

y

= B

1

and B

z

= B

2

and using Eq. 29-2 and Eq. 3-30, we obtain (with SI units

understood)

F

=

q

v

×

B

4ˆi

20ˆj+ 12ˆk = 2

(4B

2

6B

1

)ˆi + (6B

1

2B

2

)ˆj + (2B

1

4B

1

) ˆ

k

.

Equating like components, we find B

1

=

3 and B

2

=

4. In summary (with the unit Tesla understood),

B =

3.0ˆi3.0ˆj4.0ˆk.


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