Understanding EMF and Charge Separation in a Changing Magnetic Field

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SUMMARY

The discussion centers on the principles of electromotive force (emf) and charge separation in a solenoid subjected to a changing magnetic field. It is established that when a solenoid experiences a changing magnetic flux, emf is induced, resulting in a voltage difference across its terminals. However, when the magnetic flux remains constant, as in the scenario described at point (c), charge separation can still occur without inducing emf, as the opposing voltages in the solenoid effectively cancel each other out, preventing current flow.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Familiarity with Ohm's Law (I = V / R)
  • Knowledge of magnetic flux concepts
  • Basic principles of electric circuits and voltage differences
NEXT STEPS
  • Study Faraday's Law in detail, focusing on the equation EMF = -N (delta phi / delta time)
  • Explore the concept of charge separation in static electric fields
  • Investigate the effects of moving conductors in magnetic fields
  • Learn about the behavior of inductors in AC circuits
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Physics students, electrical engineers, and educators seeking to deepen their understanding of electromagnetic principles and their applications in circuits and devices.

Icy98
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Homework Statement


When there is a changing magnetic flux, emf is induced in the solenoid. The solenoid is made up of circular loops of wire. My first question is, since emd is induced in the solenoid, is there a site of higher voltage and another site of lower voltage? My second question is, (as provided in the picture attached), it is said that at (c), flux does not change hence there is no emf, but there is separation of charges. How is this possible?

Homework Equations


EMF= -N ( delta phi/ delta time)

The Attempt at a Solution


For my second question, when there is separation of charges, isn't there an emf?[/B]
 

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Icy98 said:
My first question is, since emd is induced in the solenoid, is there a site of higher voltage and another site of lower voltage? My second question is, (as provided in the picture attached), it is said that at (c), flux does not change hence there is no emf, but there is separation of charges. How is this possible?
Have a look at this: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/genwir2.html

So when a winding is moved across the constant magnetic field, an emf will be induced in the right half and the left part of the winding, but the directions of the emf's will be opposite, hence the resulting emf ( the sum of emf's ) in the winding as a whole, will be zero, though there is a voltage difference between the top and bottom of the winding.

And to your attached: Determine whether a current is induced . . . .

Well, we don't know, because we don't know if the coil is loaded by e.g. a resistor, thereby creating a closed current loop.

A magnetic flux induces voltage, Ohm's law must take care of the resulting current ( I = V / R ).
 
Last edited:
Icy98 said:
For my second question, when there is separation of charges, isn't there an emf?
Think of the left and right-hand sides of the coil as two batteries of identical voltage hooked up + to + and - to -. So there is no current since the two voltages cancel each other.
But the + side is still at a different potential than the - side, by the amount of the battery voltage, right?
 

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