A rectangular circuit is moved at a constant velocity into, through, and then ou

Question

A rectangular circuit is moved at a constant velocity into, through, and then out of a uniform 1T magnetic field, as shown in the figure. The resistor in the circuit has a value of 10 Omega and the loop has a width of 20cm and a height of 30cm. The magnetic field region can be considered as much wider than the loop.

a) The induced current in the circuit has a magnitude of 0.3A as it moves into the magnetic field. How low large is the velocity of the loop?

b) Find the magnitude of the current induced in the circuit as it is moving out of the field. What is the direction of the current induced in the circuit moving out of the field (clockwise or counterclockwise)? Explain why.

Explanation / Answer

a.)Motional emf in wire = BVl

Current in the circuit from ohm law = Bvl/R

0.3 = 1*V*0.3/10

V = 10m/s

b.) Fore = q VxB experienced by electrons is in upward direction so current will flow downward in wire and hence direction of current in circuit is clockwise

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