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Dual-mode Mathematics Examination Paper Xuzhou
Starting from the equilibrium position, because it is a simple harmonic vibration, there are: v=v0cos2πTt,

Then the induced electromotive force E=BLv=BLv0cos2πTt,

The valid values are E=22Em=22BLv0.

Therefore, the average power of the driving force acting on the rod is p = e2r = (22blv0) 212r = b2l2v20r.

So choose B.