a magnetic field of 0.080 t is in the y-direction. the velocity of wire segment s has a magnitude of 78 m>s and components of 18 m>s in the x-direction, 24 m>s in the y-direction, and 72 m>s in the z-direction. the segment has length 0.50 m and is parallel to the z-axis as it moves. (a) find the motional emf induced between the ends of the segment. (b) what would the motional emf be if the wire segment was parallel to the y-axis?



Answer :

The wire segment was parallel to the y-axis E = 0.72 volt ;E = 0 volt are the answer.

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Given that – Length of segment = 0.50m

1.  E = L * (V x R)

E = 0.50k {(18i + 24j +72k) x (0.800j)}

E = 0.50 * 18 * 0.800 + 0

E = 0.72 volt

Thus, the motional emf will be 0.72 volt

2.  If the wire segment is parallel to y-axis

E = 0.50j * {(18 x 0.080) k – (72 x 0.800) i)}

E = 0 volt

Thus, the motional emf in this situation is zero.

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