Find speed of wire with voltage, length, and magnetic field

[ettac]

Homework Statement

A voltage of 1.50 V is induced in a 30.0 m long wire as it moves perpendicularly to a 3.50× 10–3 T magnetic field. At what speed is the wire moving?
Answer is 14.2 m/s

Homework Equations

Fm=IlB
Fm=qvB
I=q/t

Thanks for all of your help! :)

 

[ideasrule]

As the wire moves through the magnetic field, the charges inside feel a force of Fm=qvB. At equilibrium, this is counteracted by an electric field pushing the charges in the opposite direction. Can you find this electric field? If so, the voltage difference is just the integral of the field over the length of the wire.

 

[ettac]

I also have the formula F_e = Eq, but with that I do not know the E or the q.
I can go F_e = F_m , Eq=qvB, E=vB, v=E/B, v=Vq/B from there I don't know the q and I am not using the length of the wire (30.0m).