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

• ettac
In summary, a wire moving perpendicularly to a 3.50×10–3 T magnetic field induces a voltage of 1.50 V in a 30.0 m long wire. The speed of the wire can be calculated using the formula v=Vq/B, but further information is needed to find the value of q.
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?

## Homework Equations

Fm=IlB
Fm=qvB
I=q/t

Thanks for all of your help! :)

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).

## 1. How do I calculate the speed of a wire using voltage, length, and magnetic field?

The speed of a wire can be calculated using the formula v = B * L * V, where B is the magnetic field, L is the length of the wire, and V is the voltage applied.

## 2. Can I use this formula to find the speed of any wire?

Yes, this formula can be used to find the speed of any wire as long as the magnetic field, length, and voltage are known.

## 3. What unit of measurement should be used for the variables in the formula?

The unit of measurement for magnetic field is Tesla (T), length is meters (m), and voltage is volts (V). The resulting speed will be in meters per second (m/s).

## 4. Is there a specific direction for the magnetic field in this formula?

Yes, the magnetic field should be perpendicular to the direction of the wire's motion. This is known as the right-hand rule.

## 5. How accurate is this formula in determining the speed of a wire?

This formula provides a good estimate of the wire's speed, but it may not be completely accurate due to factors such as resistance and external forces acting on the wire.

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