In the figure below, a region with a constant magnetic field equal to 0.34 T out

Question

In the figure below, a region with a constant magnetic field equal to 0.34 T out of the page is shown. A single turn, rectangular loop of wire moves into this region with a speed of 15.7 m/s. The dimensions of the loop are a = 0.25 m and b = 0.51 m. The loop has a resistance of 3.03 omega. While the loop is moving into the region of constant magnetic field, the direction of the induced magnetic field in the loop is: Tries 0/20 While the loop is moving into the region of constant magnetic field, the magnitude of the induced EMF is Tries 0/3 While the loop is moving into the region of constant magnetic field, the magnitude of the magnetic force acting on the loop is Tries 0/20 While the loop is moving into the region of constant magnetic field, the direction of the magnetic force acting on the loop is: Tries 0/3

Explanation / Answer

the external magnetic field is in outward direction and as the loop enters the external outward magnetic field , the magnetic flux linked with loop increases in outward direction. hence loop induces magnetic field in inself to resist the increase. To resist the increase , the loop induces magnetic field in inward direction.

b = length of side crossing the external magnetic field = 0.51 m

B = external magnetic field = 0.34 T

v = speed of loop = 15.7 m/s

induced emf is given as

E = Bb v = 0.34 x 0.51 x 15.7 = 2.72 volts

i = current induced in the loop = E/R = 2.72/3.03 = 0.898 A

magnetic force is given as

F = i Bb = 0.898 x 0.34 x 0.51= 0.156 N

magnetic force is produced in such a direction so as to resist the motion of loop. hence magnetic force points in down direction

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