General Physics II (2017Fall) Review problems: 1. A uniform rectangular coil of

Question

General Physics II (2017Fall) Review problems: 1. A uniform rectangular coil of dimensions 0.500 m × 1.00 m is oriented perpendicular to a uniform 3.0OT magnetic field. A clockwise current of 2.00 A is suddenly started in the coil. (a) About which axis (Ai or A2) will the coil begin to rotate? Why? (b) What is the magnitude of torque just after the current is started? 0.500 2· The current in the long, straight wire AB is upward and is increasing steadily at a rate did. At an instant when the current is i, (a) What is the total fux through the conduction loop? (b) What is the magnitude and direction of the induced emf in the loop? (c) What is the mutual inductance between straight wire AB and the conduction loop? 3. A circular conducting ring with radius ro lies on the xy-plane and is in time-varying uniform magnetic field B-W-X1 / 2 + 2(1 / 6) with to and B positive constants. Find (a) the magnetic flux through the ring; (b) the induced emf in the ring. Indicate the direction of the emf at time ly'2.

Explanation / Answer

1)
a) when a clockwise current is flowing in the loop

as the force on the 0.50 m sides will be zero

hence , the coil will begin to rotate about A2

b)

magnitude of torque = Area * I * B

magnitude of torque = 0.50 * 1 * 2 * 3

magnitude of torque = 3 N.m

the magnitude of torque is 3 N.m

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