Question about electromagnetic induction

[stunner5000pt]

Lets say there's a bar magnet going at a speed V (North pole first) through the central axis of symmetry of the circular coil.

Sketch the graph of the graph of the magnetic flux through the circular loop as a function of time. Also sketch the graph of the corresponding emf as a function of time.

I hope you understand the question just tell me if yu don't ill put up a diagram.

When the magnet approaches the flux increases, peaks when the magnet is at the centre of the coil, and then reduces as the magnet recedes.
SO the graph would look like a smooth edged A with asymptotic sides on the X axis

Forthe plot of EMF vs Time, the EMF would constantly increase (??) as the magnet approaches, then reach a max when the magnet is at zero, and then start from negative infinity as the magnet receded??

Your help would be appreciated!

 

[member 553083]

The graph of the magnetic flux through the circular loop as a function of time would look like a smooth, symmetrical bell curve. The flux would start from zero, increase as the magnet approaches, peak when the magnet is at the center of the coil, and then decrease as the magnet recedes. The graph of the corresponding emf as a function of time would look like a straight line that increases as the magnet approaches and then decreases as the magnet recedes. The emf would reach its maximum value at the same time as the magnetic flux reaches its peak.

 

[wais]

Yes, I understand the question and it is a good one. The graph of magnetic flux through the circular loop as a function of time would indeed look like a smooth edged A, with the peak occurring when the magnet is at the center of the coil. This is because the magnetic flux is directly proportional to the magnetic field, and as the magnet moves closer to the coil, the magnetic field increases, reaching its maximum at the center, and then decreases as the magnet moves away.

As for the graph of EMF as a function of time, it would also have a peak at the center of the coil, but it would not start from negative infinity as the magnet recedes. This is because the EMF is induced by the change in magnetic flux, and as the magnet moves away, the change in magnetic flux decreases, resulting in a decrease in EMF. So the graph would have a peak at the center, and then decrease as the magnet moves away, but it would not go to negative infinity.

I hope this helps clarify your understanding of electromagnetic induction. It is a fascinating phenomenon that has numerous applications in our daily lives. If you have any further questions, please let me know.