Voltages in an induced current

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SUMMARY

The discussion centers on the relationship between voltage, induced current, and magnetic flux in a solenoid, referencing Ampère's and Faraday's laws. Voltage is defined as the difference in electric potential energy between two points, and current flows due to a non-zero potential difference. The conversation highlights the importance of the Lorentz force and Maxwell's equations in understanding how a changing magnetic field induces an electric field, which in turn affects the motion of charge carriers. The participants conclude that visualizing voltage in the context of a solenoid requires considering these fundamental principles.

PREREQUISITES
  • Understanding of Ampère's Law
  • Familiarity with Faraday's Law of Induction
  • Knowledge of Maxwell's Equations
  • Concept of the Lorentz Force
NEXT STEPS
  • Explore the implications of Maxwell's Equations in electromagnetic theory
  • Study the Lorentz Force and its effects on charge carriers in magnetic fields
  • Investigate the graphical representation of voltage across a solenoid's cross-section
  • Learn about practical applications of induced currents in electrical engineering
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and induced currents in solenoids.

Mzzed
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I've been messing around with ampere's and faraday's laws as we have recently been applying them in undergrad level physics. I'm confused as to how voltage fits in with these laws when used for a solenoid inducing a current in a material placed inside the solenoid. I know that the induced current will flow in a circular motion and the voltage is determined by change in magnetic flux over time. But at a specific radius that the current is flowing around within the solenoid, there should be a constant amount of changing flux along the perimeter of the same radius. So there is obviously something I am missing, but to me this would mean there is constant voltage along the circular path that the current flows which makes no sense to me since the current would usually flow from high to low voltage.

How can voltage be easily visualized in this situation? Or have I assumed anything incorrectly?
 
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Welcome to PF;
The voltage is the difference in electric potential energy between two points.
Current naturally flows between points where there is a non-zero potential difference.
But that is not the only way to move charges about.

Just like masses naturally roll down between places where there is a gravitational potential difference ... but that is not the only way to move masses around.
 
Simon Bridge said:
Welcome to PF;
The voltage is the difference in electric potential energy between two points.
Current naturally flows between points where there is a non-zero potential difference.
But that is not the only way to move charges about.

Just like masses naturally roll down between places where there is a gravitational potential difference ... but that is not the only way to move masses around.
Hmmmmm ok so does that then mean lens's/faraday's law (V = - change in flux / change in time) does not apply to this situation? if anything I now have more questions than I started with haha
 
It certainly does apply !
Mzzed said:
I now have more questions than I started with
Good condition for learning opportunities :smile:. Work out such questions a bit and post when stuck !

The underlying equation is one of the maxwell equations: a changing magnetic field causes an electric field. Then the motion of charge carriers follows from the Lorentz force, equally fundamental.
 
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BvU said:
It certainly does apply !
Good condition for learning opportunities :smile:. Work out such questions a bit and post when stuck !

The underlying equation is one of the maxwell equations: a changing magnetic field causes an electric field. Then the motion of charge carriers follows from the Lorentz force, equally fundamental.
AHH ok I think the thing I was missing is the lorentz force to enable a better visualisation of voltage in the coil, I think from this i can figure out roughly what a graph of voltage over the cross section of the coil would look like I hope. Thankyou!
 

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