The figure below shows a zero-resistance rod sliding to the right on two zero-re

Question

The figure below shows a zero-resistance rod sliding to the right on two zero-resistance rails separated by the distance L = 2 m. The rails are connected by a 11 ohm resistor, and the entire system is in a uniform magnetic field with a magnitude of 0.75 T. If the bar is moving to the left at 12 m/s at the moment shown, this means at this moment: The magnetic flux through the circuit will be: decreasing and causing an emf of This emf creates an induced current in the circuit of: size: in order to fight the decreasing flux This will mean the power dissipated in the resistor at this moment will be: At this moment, the external B field is exerting a force on the bar of:

Explanation / Answer

a)

induced emf

E=BLV =0.75*2*12

E=18 V

b)

induced current

I=E/R =18/11

I =1.636 A

c)

power dissipated

P=I^2R =1.636^2*11

P=29.45 W

d)

magnetic force

F=BIL =0.75*1.636*2

F=2.45 N

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