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A conducting rod spans a gap of length L = 0.015 m and acts as the fourth side of a rectangular conducting loop, as shown

A conducting rod spans a gap of lengthL=0.015m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field with magnitudeB=0.55T pointing into the paper is in the region. The rod is pulled to the right by an external force, and moves with constant speedv=0.015m/s. The resistance in the wire isR=150.

(a)Express the magnitude of the magnetic flux going through the loop, , in terms of B, a and L.

(b)Express the change in the magnetic flux,, in terms ofB,L,vandt. (c)Express the magnitude of the average emf induced in the loop,, in terms ofB,L,v. (d)Calculate the emf, in volts. (e)Express the current induced in the loop,I, in terms ofandR. (f)Calculate the value ofI, in amperes. (g)What is the direction of the current?

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