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3. (25 points) Two parallel, resistance free rails lie in the horizontal plane and are a distance W apart. The are connected by a resistance free wire at one end. A rod, mass m and length W is placed at rest on the rails at the point defined to be 0. A magnetic field is turned on which points perpendicular to the rails in the direction shown. The strength of the magnetic field increases with time according to B(t) Boat where ? and Bo are known constants, what force would you have to apply, starting at t-0, in order for the rod to remain at rest? (Ignore self inductance.) Law Application

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