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a bar of mass m=0.500 kg and resistance R=100 Ohms slides on two frictionless,pa

ID: 1701731 • Letter: A

Question

a bar of mass m=0.500 kg and resistance R=100 Ohms slides on two frictionless,parallel rails that are separated by a distance l= 10.0cm, and connected to a battery with a constant Emf of E= 100V. A uniform magnetic field of B= 0.500 T is directed out of the page. If the bar is initially at rest and the magnetic field exists everywhere, how far does it move after 2.00 seconds? Does the moving bar generate Emf?
I used ?s=1/2at^2 to find how far it moves, my answer is 0.2 m, but how do I find how much Emf it generates after 2.00 seconds . Can I use E=Blv ? Please help!

Explanation / Answer

mass of the bar is m = 0.500 kg

seperated distance is  L = 10.0cm

emf e = 100 V

magnetic field B = 0.500 T

           e = B L v

      100 V   = 0.500 T * 0.1 m * v

       v = 2*10^3 m/s

      distance d = 2 *10^3 m/s * 2.00s

                        = 4*10^3 m

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