Graph of Voltage vs Length for Moving Rod in Magnetic Field

AI Thread Summary
The discussion revolves around determining the graph of voltage versus the length of a rod moving through a magnetic field. The key equations provided include the induced electric field, E_y = -v * B, and the electromotive force (EMF), EMF = -v * B * L. The main question is whether the graph will show a constant slope or a constant value as the rod moves at a constant velocity. Participants are exploring the implications of these equations on the expected behavior of the voltage reading. The conclusion suggests that understanding the relationship between velocity, magnetic field strength, and rod length is crucial for visualizing the voltage graph.
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Homework Statement



Here is the problem:

Given a rod of Length L with one end centered at the origin and the other at y=L and given a magnetic field of strength B that points out of the page, what is the graph of the magnitude of the voltage read by a voltmeter as a constant velocity is applied to the rod as it moves across the field?



Homework Equations



E_y, Induced = -v *B (electric field induced)
EMF = -v*B*L



The Attempt at a Solution




I am having trouble visualizing the specifics of the motion, if it is a constant velocity should i expect a constant slope for the graph of the voltage with traits similar to X=Y or is it simply a constant value? (which seems unreasonable)
 
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Can't you use this equation to derive the answer? ;-).

"EMF(voltage) = -v*B*L"
 
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