Physics help please! Uniform magnetic field, B = 1.2 T, points out of the page p

Question

Physics help please!

Uniform magnetic field, B = 1.2 T, points out of the page perpendicular to the loop.

A conducting loop is made from two parallel conducting rails connected by a 2.4-volt battery and a 12 ? resistor. The loop is completed by a conducting bar, which can slide without friction along the rails. The bar, which can slide either left or right, has a length L = 0.50 m. The width of the loop is initially 4.0 m. Assume the rails and rod have negligible resistance, and that the rails extend a long way both left and right out of the picture above.

If the rod slides to the left, it can pass over the resistor and battery without hitting them.

(c) After a very long time, the rod is observed to be moving at constant velocity. What is the current in the circuit when this happens?

(d) After a very long time, what is the speed of the rod?

Explanation / Answer

We can consider here the as the rod moving with connstant velocity with out any acceleration then rod can acts as a soulrce of emg to have current in the circuit , due to change in magnetic flux producing induced emf

induced emf = B*v*l

current in the circuit i = emf / R = B*v*l/R

change in magnetic flux = induced emf ==> d(B.A cos theta)/dt= e = B v l

d) given after long time so v = A/l = 4*0.5/0.5= 4 m/s

c) now emf = Bvl = 1.2*4*0.5, current is i = e/R = 1.2*4*0.5/12 = 0.2 A

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