Explain why those are the answers and the equations used. Thanks! A conducting r

Question

Explain why those are the answers and the equations used. Thanks!

A conducting rod of length 0.20 m makes slides without friction on conducting metal rails, as shown in the sketch. The apparatus is in a uniform magnetic field that has magnitude B = 0.400 T and that is directed into the page. The resistance of the circuit is a constant R = 5.00 Ohm. a) At the instant that the bar is moving to the right at a speed of v = 12.0 m/s. what are the magnitude and direction (clockwise or counterclockwise) of the induced current in the circuit?

Explanation / Answer

a) I = Bvl/R = 0.4*12*0.2/5 = 0.192A counterclockwise

b) (Bvl)^2 / R = Fv

F = (Bl)^2 * v / R = (0.4*0.2)^2 * 12 / 5 = 0.01536N

c) work = power * time = 0.01536 * 12*3 = 0.55296 J

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