The current in a conductor is found to be moving from (-1, 2, -3) m to (-4, 5, -6) m. Given that the

indimiamimactjcf 2022-05-10 Answered
The current in a conductor is found to be moving from (-1, 2, -3) m to (-4, 5, -6) m. Given that the force the conductor experiences is F = 12 ( a y + a z ) N and the magnetic field present in the region is B = 2 a x T, determine the current through the conductor. a.) -1 A;
b.) -2 A;
c.) This problem has no solution.
d.) 2 A;
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Answers (1)

partyjnopp9wa
Answered 2022-05-11 Author has 17 answers
Length of the conductor L = ( 4 , 1 ) a x + ( 5 , 2 ) a y + ( 6 , 3 ) a z = 3 a x + 3 a y 3 a z
We know that
magnetic force F = I ( l × B )
l × B = ( 3 a x + 3 a y 3 a z ) × 2 a x = ( 3 a x × 2 a x ) + ( 3 a y × 2 a x ) ( 3 a z × 2 a x ) = 0 + 6 a z 6 a y = 6 ( a y + a z )
Substituting this in equ
we get
12 ( a y + a z ) = I × 6 ( a y + a z ) I = 12 ( a y + a z ) 6 ( a y + a z ) = 2 A I = 2 A
Step 2
Answer
Current I=-2 A
Option b is the correct answer.
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