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A rod AB with length L = 0.18 m is lying on a rectangular conducting loop of zer

ID: 1451897 • Letter: A

Question

A rod AB with length L = 0.18 m is lying on a rectangular conducting loop of zero resistance in a magnetic field as shown in the figure. The magnetic field has a constant magnitude B = 0.45 T. The rod is moving to the right with speed v = 0.61 m s. The resistance on AB is R = 85 ohm. Randomized Variables L = 0.18 m B = 0.45 T v = 0.61 m/s R = 85 ohm Express the change of the magnetic flux going through the loop 1, deltaphi_1, in terms of B. nu. L and deltat. Express the magnitude of the average emf induced in loop 1, epsilon_1, in terms of B, L and nu. Calculate the numerical value of epsilon_1 in volts. What's the direction of the current induced by epsilon_1? Express the change of the magnetic flux going through the loop 2. Deltaphi_2, in terms of B, nu, deltat.

Explanation / Answer

a) change in magnetic flux through loop1 = B*v*L*dt

b) induced emf in loop1, E1 = B*v*L*dt/dt

= B*v*L

c) E1 = 0.45*0.61*0.18

= 0.04941 volts

d) counterclockwise (According to Lens's law)

e) change in magnetic flux through loop2 = -B*v*L*dt

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