How Does the Speed of a Van Affect the Lorentz Force in a Magnetic Field?

AI Thread Summary
The discussion revolves around understanding how the speed of a van affects the Lorentz force in a magnetic field, particularly in relation to an induction problem. Participants express confusion about how to approach the problem, emphasizing the need to calculate velocity based on varying magnetic field strengths. It is noted that a loop of wire will not generate voltage unless the magnetic field is changing, highlighting the importance of the rate of change of the field. The equation V = - N d(phi)/dt is suggested as essential for solving the problem. Overall, clarity on the relationship between speed, magnetic induction, and induced voltage is sought.
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Homework Statement



Problem is http://imgur.com/bQIFJ

Homework Equations



I presume F=BIl and E=Blu.

The Attempt at a Solution



Not very well. I don't really understand how to start the question so if I could get some nudges in the right direction that'd be great. I'm not sure how the speed of the van comes into play here. I gather that I'll have to work out V once for the 38uT field density and then again for the 42uT and get the difference.
 
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You can find it using E= Bul
 


I don't think the question has enough information. A loop of wire will not produce any output voltage unless the field is varying. To calculate the output you need the rate at which the field is varying. Vehicle speed plus the two field strengths is not enough to establish the rate of change of the field.

The equation you need is V = - N d(phi)/dt

Do you have a picture/drawing of what this "detector" looks like?
 

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