A conducting rod is moving through a magnetic field, as in the drawing. The magn

Question

A conducting rod is moving through a magnetic field, as in the drawing. The magnetic field strength is 0.65 T, and the speed of the rod is 3.5 m/s. Suddenly, the field strength decreases to 0.48 T. To what value must the speed vof the rod be adjusted to reestablish the emf induced between the ends of the rod at its initial value?

A conducting rod is moving through a magnetic field, as in the drawing. The magnetic field strength is 0.65 T, and the speed of the rod is 3.5 m/s. Suddenly, the field strength decreases to 0.48 T. To what value must the speed vof the rod be adjusted to reestablish the emf induced between the ends of the rod at its initial value?

Explanation / Answer

Note that

emf = BL dx/dt = BLv

Thus, EMF is directly proportional to the speed.

As the initial emf is the smae as the final emf,

emf1 = emf2

--> B1 L v1 = B2 L v2

--> v2 = B1 v1 / B2

Thus,

v2 = 4.7 m/s   [ANSWER]

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