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

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SUMMARY

The discussion centers on calculating the speed of a wire moving through a magnetic field, specifically a wire that induces a voltage of 1.50 V while being 30.0 m long and moving perpendicularly to a magnetic field of 3.50×10-3 T. The calculated speed of the wire is 14.2 m/s. Key equations referenced include Fm=IlB and Fm=qvB, which relate the magnetic force to current, length, and magnetic field strength. The discussion also touches on finding the electric field generated by the induced voltage.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the Lorentz force equation (Fm=qvB)
  • Knowledge of voltage, current, and electric field relationships
  • Basic calculus for integrating electric fields over a distance
NEXT STEPS
  • Study the derivation of the Lorentz force equation (Fm=qvB)
  • Learn about electromagnetic induction and Faraday's Law
  • Explore the relationship between electric fields and induced voltages
  • Investigate the concept of electric field strength (E) in moving conductors
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in understanding the principles of electromagnetic induction and calculating induced voltages in conductive materials.

ettac
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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! :)
 
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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.
 
I also have the formula Fe = Eq, but with that I do not know the E or the q.
I can go Fe = Fm , 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).
 

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