What Velocity Is Needed to Generate a 1 μA Current in a Magnetic Field?

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Homework Statement


Two parallel conducting rails are separated by 50 cm. These are connected together
by a fixed wire and by a third rail, constrained to lie transverse to the two parallel rails,
which can slide back and forth. There is a 100 ohm resistance in the fixed wire. All three rails lie in the xy-plane, in the presence of a magnetic field B = 10 μT k(direction vector). What velocity must one slide the rail in order to generate a current of 1 μA?


Homework Equations


V=IR
F=q(E+vxB)


The Attempt at a Solution


A current of 1 μA and resistance of 100 ohm means that the voltage should be 1x10-3 V. What should I do next?
 
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A current of 1 μA and resistance of 100 ohm means that the voltage should be 1x10-3 V
Micro means 10^-6.
Induced emf = rate of change of flux. And flux = field*area