Induced Emf due to changing magnetic flux

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SUMMARY

The discussion centers on the phenomenon of induced electromotive force (emf) in a conducting loop when a magnet is moved through it, specifically addressing the implications of Lenz's law. When a magnet is pushed into the loop, the changing magnetic flux induces a current that flows in an anticlockwise direction. As the magnet is fully pushed through the loop, the magnetic flux begins to decrease, causing the induced current to reverse direction. This behavior is confirmed by the relationship between changing magnetic flux and induced emf, as illustrated in the referenced article.

PREREQUISITES
  • Understanding of Lenz's law and its implications on current direction
  • Familiarity with the concept of magnetic flux and its measurement
  • Basic knowledge of electromagnetism and induced emf
  • Experience with graphical representation of emf versus time
NEXT STEPS
  • Study the mathematical formulation of Faraday's law of electromagnetic induction
  • Explore the relationship between magnetic flux and induced current in more complex systems
  • Investigate practical applications of induced emf in electrical engineering
  • Review the graphical analysis of induced emf as demonstrated in the provided article
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Students of physics, electrical engineers, and anyone interested in understanding the principles of electromagnetism and their practical applications in technology.

Cookiey
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If we have a conducting loop, and a magnet (say North pole first) is pushed into it; that induces and emf and hence a current in the coil due to the changing magnetic flux, right? According to Lenz' law, the direction of the current is such that it opposes the change. So from the side the magnet was pushed in, it would be anticlockwise?

My question is, if we push the magnet completely through, after a point, won't the increasing flux actually start to decrease? And if that's right, then does the current change direction? I'm referring to a case where the pushinin of the magnet is done in a single motion/step. This feels intuitevely wrong to me, and all the resources I found only talk until the first bit i mentioned.

I'm thinking that my understanding of the concept of magnetic flux is wrong. It can be iterpreted as the number of field lines passing through an area, right?

Thanks for your time!
 
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Cookiey said:
My question is, if we push the magnet completely through, after a point, won't the increasing flux actually start to decrease?
Yes. I have a hairy anecdote to illustrate. A long time ago, some colleagues of mine were engaged to connect some medical instrumentation to a data center (at the same floor, but about 30m along a corridor). What happened was that they got intermittent high frequency high amplitude ground current (which interfered with the data transfer). After several days of head scratching, they noted:
  • Between the instrumentation and the data center, there was a door to the stairwell.
  • The stairwell contained a lift (elevator)
  • The mains in the two rooms were separately connected to a mains distributor in the basement
  • The protective ground were also connected in the basement
So - when the data cable set up a connection between the protective ground in both rooms, you had a ground loop - and a lift (with a current-carrying cable) going up and down through the loop, inducing all kinds of EMF in the ground loop!
 
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Yes, you are right. As you push the magnet, the magnetic field flux is increasing, causing a current through the wire loop. As the magnet gets pushed all the way through, and thus the magnetic field flux goes from increasing to decreasing, you will reach a point where the induced current switches directions in the loop.
 
2 more cents

Remember, the EMF is the from the change in magnetic flux.

Pushed part way in the flux increases, and the EMF is positive in a particular direction. Then pulled out the flux decrease, so the EMF must change sign.

This last bit is the same as pulling it out the other side.
 

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