Moving a bar magnet through a coil

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When a bar magnet is moved through a coil at a constant speed, the magnetic flux through the loop changes over time, initially increasing as the magnet enters, remaining constant while fully inside, and then decreasing as it exits. The graph of induced current will reflect the negative change in flux, showing a peak during the entry and exit phases of the magnet, with a plateau when the magnet is fully inside the coil. The induced current is generated by the rate of change of flux, leading to a negative slope during the transitions. This results in a distinct shape for both graphs, with the flux showing a normal curve and the current exhibiting a corresponding pattern. Understanding these relationships is crucial for analyzing electromagnetic induction.
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Homework Statement



You move a bar magnet through a coil at a constant speed. Graph the flux through the loop as a function of time. Graph the induced current in the loop as a function of time.

Homework Equations





The Attempt at a Solution



Graph of flux vs time:

I'm thinking is should look like a normal curve but once part of the magnet enters the loop will it be constant until the other end of the magnet exits the coil?

Graph of induced current vs time:

Same as flux vs time?
 
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Flux out the North end of the magnet is the same as flux into the South end.
.. so, there should be a fairly long "plateau" on the top of the "normal" curve.

but the Current is induced by the NEGative CHANGE of flux ( neg. slope)
 
So there will be a flat plateau where "bar" of the magnet is inside the loop?
 
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