The conducting rod ab shown in the figure 1 makes frictionless contact with meta

Question

The conducting rod ab shown in the figure 1 makes frictionless contact with metal rails ca and db. The apparatus is in a uniform magnetic field of 1.00 T, perpendicular to the plane of the figure.

Part A

Find the magnitude of the emf induced in the rod when it is moving toward the right with a speed 8.80 m/s.

Part B

In what direction does the current flow in the rod?

-The current in the rod is from a to b.

-The current in the rod is from b to a.

-The current in the rod is zero.

Part C

If the resistance of the circuit abcd is a constant 3.50 ohm find the direction of the force required to keep the rod moving to the right with a constant speed of 8.80 m/s.

-The force is directed to the right.

-The force is directed to the left.

- No force is needed.

Part D

Find the magnitude of the force mentioned in part (C).

Explanation / Answer

Part A E=Blv =1 x 50x10^-2x8.8 =4.4 v Part B The current in the rod is from b to a. Part C The force is directed to the right. Part C F=Bil =1x (4.4/3.5)x 50 x 10^-2 =0.6285 N

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