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

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Homework Help Overview

The discussion revolves around the conditions under which a current is generated when a magnet is moved through a solenoid, focusing on the principles of electromagnetic induction.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the movement of the magnet and the generation of current, referencing Faraday's law and Lenz's law. Questions arise regarding the completeness of the original explanation and the factors affecting the induced current, such as the speed of the magnet and the direction of the induced current.

Discussion Status

Participants are actively engaging with the concepts, with some suggesting additional considerations like Lenz's law to clarify the direction of the current. There is a recognition of the importance of the rate of change of magnetic flux and its impact on the induced EMF and current.

Contextual Notes

There is an implicit assumption that the solenoid is long enough for the effects of the induced current to be observed, and the discussion hints at the need for further elaboration on the relationship between the magnet's speed and the resulting current.

miaou5
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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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