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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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;

partyjnopp9wa · Accepted Answer

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 thatmagnetic 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 equwe 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  AStep 2AnswerCurrent I=-2 AOption b is the correct answer.

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

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