In the figure, the rod moves to the right with a speed of 1.2 m/s and has a resi

Question

In the figure, the rod moves to the right with a speed of 1.2 m/s and has a resistance of 2.0 ohm .(Figure 1) The rail separation is l = 27.0 cm. The magnetic field is 0.31 T, and the resistance of the U-shaped conductor is 24.0 ohm at a given instant. Calculate the induced emf. Express your answer to two significant figures and include the appropriate units. e = Calculate the current in the U-shaped conductor. Express your answer to two significant figures and include the appropriate units. I = Calculate the external force needed to keep the rod's velocity constant at that instant. Express your answer to two significant figures and include the appropriate units. F =

Explanation / Answer

a) induced emf is e = B*l*v = 0.31*0.27*1.2 = 0.10044 V

B) Net resistance is Rnet = 2+24 = 26 ohm

current in U-shaped conductor is i = e/Rnet = 0.10044/26 = 3.86*10^-3 A

C) since the rod was moving due to magnetic force,so to move with a constant velocity ,we need to apply an exeternal force

Fext = B*i*L = 0.31*3.86*10^-3*0.27 = 3.2*10^-4 N

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