True or False? A demonstration performed in class showed that a current-carrying

Question

True or False?

A demonstration performed in class showed that a current-carryingwire placed in a
magnetic field will gain kinetic energy as the wire accelerates inresponse to the magnetic
force. However, in applying our definition of work, we realize thatthe magnetic field
cannot do work on a charged particle because the force on theparticle is perpendicular to
its motion. From this we conclude that the magnetic force is anexception to the rule.

If this statement is true, prove it. If false, show why it isfalse.

Explanation / Answer

The force on a charge moving in a magnetic fieldis   F = q v x B Another form of this equation is F = iL x B where L is a length vectorin the direction of the current The wire moves in the direction of the force and the fielddoes work F x = W So the work done is in the direction of the force on the wirenot in the direction of the moving charge Another form of this equation is F = iL x B where L is a length vectorin the direction of the current The wire moves in the direction of the force and the fielddoes work F x = W So the work done is in the direction of the force on the wirenot in the direction of the moving charge

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