Induced Emf due to changing magnetic flux

In summary, the conversation discussed the concept of induced current in a conducting loop when a magnet is pushed through it, according to Lenz' law. The direction of the current is such that it opposes the change, causing it to be anticlockwise from the side the magnet was pushed in. The question was raised about the direction of the current when the magnet is pushed completely through, as the increasing flux starts to decrease. It was clarified that the current direction will indeed change as the flux changes direction. The concept of magnetic flux as the number of field lines passing through an area was also discussed. The conversation ended with a real-life example of a ground loop being induced by a lift going up and down through a loop, causing interference in data
  • #1
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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  • #2
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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  • #3
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.
 
  • #5
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.
 

Related to Induced Emf due to changing magnetic flux

What is induced emf due to changing magnetic flux?

Induced emf (electromotive force) is the voltage generated in a conductor when it is exposed to a changing magnetic field. This change in magnetic field can be due to the movement of the conductor, the movement of a magnet, or a change in the strength of the magnetic field.

How is induced emf calculated?

Induced emf can be calculated using Faraday's law of induction, which states that the magnitude of induced emf is equal to the rate of change of magnetic flux through a surface. This can be expressed as E = -N(dΦ/dt), where E is the induced emf, N is the number of turns in the coil, and dΦ/dt is the rate of change of magnetic flux.

What factors affect the magnitude of induced emf?

The magnitude of induced emf is affected by the strength of the magnetic field, the speed of the changing magnetic field, and the number of turns in the coil. It is also affected by the angle between the magnetic field and the conductor, with a perpendicular orientation resulting in the maximum induced emf.

What is Lenz's law and how does it relate to induced emf?

Lenz's law states that the direction of the induced emf will always be such that it opposes the change in magnetic flux that caused it. This means that if the magnetic flux is increasing, the induced emf will create a current that produces a magnetic field in the opposite direction, and vice versa.

What are some real-world applications of induced emf?

Induced emf has many practical applications, such as in generators, transformers, and induction motors. It is also used in technologies such as magnetic levitation trains, magnetic resonance imaging (MRI) machines, and wireless charging. Additionally, it plays a crucial role in the functioning of electrical power grids.

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