Under what conditions is a current generated w/ a magnet and solenoid?

AI Thread Summary
A current is generated in a solenoid when a magnet moves through it, as described by Faraday’s law, which states that a changing magnetic field induces an electric current. The movement of the magnet alters the magnetic field within the solenoid, leading to electromagnetic induction. The rate of change of magnetic flux is crucial; a faster-moving magnet produces a greater electromotive force (EMF) and, consequently, a stronger current. Lenz's law explains that the induced current will create a magnetic field opposing the motion of the magnet, resulting in a drag effect that can lead to terminal velocity. Understanding both Faraday’s and Lenz's laws is essential for a complete explanation of this phenomenon.
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Homework Statement



When putting a magnet into a solenoid, under what conditions is a current generated?

The Attempt at a Solution



In order for a current to be generated, the magnet needed to be moving as it passed through the solenoid. This is due to Faraday’s law, which states that an electric current can only be induced in a circuit through a changing magnetic field. By pushing the magnet through the coil of wire, the magnetic field is altered and a current is subsequently induced (also known as electromagnetic induction).

Is this a correct explanation, or is there something more I should add? I can't help but feel like the answer is super short, but I'm not sure if there's anything else I'm missing. Thank you all so much!
 
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I think is correct but you should further use Lenz's law which will specify the direction of the current.
 
EMF is generated across a coil when there is change in the magnetic flux associated with it. This EMF leads to a flow of current through a coil.
The generated depends upon the rate of change of magnetic flux associated with the coil.

EMF = d∅/dt

Greater the speed of the magnet, greater the EMF generated and inturn, greater the current flowiwng through the coil.
 
when the magnet falls through the coil a current will be produced according to Faraday's law as has been stated earlier .I wanted to add that this current will be such that(anticlock wise from top) it will create a magnetic field along the axis of the solenoid which will oppose the motion of the falling magnet itself.This is Lenz's law.So the magnet will experience a drag and if the solenoid is assumed to be long enough it will approach a terminal velocity.
 
Thank you all so much! That makes a lot of sense, and I will include Lenz's law as well in my answer. A big thank you again!
 
Anytime mate..!
 
Best of luck
 
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