Explore BrainMass

# Finding the equation of motion in a magnetic field

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

The conductor bridge is giving an initial velocity V0 to the right. The circuit completed by this bridge has an increasing area as the bridge moves to the right which means an increasing magnetic flux. Thus we know from Faraday's law that a current is created in the circuit completed by this bridge proportional to its velocity. So if the bridge continues to move freely forever, we have an infinite source of energy through generation of current. How is this violation of energy conservation resolved?

Find the equation of motion of the bridge and show that it slows down to rest eventually.

https://brainmass.com/physics/lorentz-force-law/finding-equation-motion-magnetic-field-5234

#### Solution Preview

Answer: The bridge does not continue to move freely. In fact it experiences a force opposing its motion and bringing it to rest.

This force is predicted by the equation for the lorentz force: F = Qv x B which in the case of our conductor equals;
F = -ILB
where "L" is the length of ...

#### Solution Summary

The equation of motion in a magnetic field is examined.

\$2.49