Is EMF Induced in a Square Loop Moving Through a Magnetic Field?

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SUMMARY

The discussion centers on the concept of electromagnetic induction, specifically examining whether an electromotive force (EMF) is induced in a square loop moving through a uniform magnetic field. The established formula for induced EMF, emf = Blv, applies to straight conductors, where l is the length of the conductor, B is the magnetic field strength, and v is the velocity of movement. However, in the case of a square loop fully immersed in the magnetic field, there is no change in magnetic flux as it moves, leading to the conclusion that no EMF is induced. This is attributed to the fact that the area enclosed by the loop remains constant, unlike the scenario with a straight wire.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Familiarity with the concept of magnetic flux
  • Knowledge of the relationship between velocity, magnetic field strength, and induced EMF
  • Basic principles of electromagnetism and circuit theory
NEXT STEPS
  • Study the implications of Faraday's Law in varying magnetic fields
  • Explore the concept of magnetic flux and its calculation in different geometries
  • Investigate the behavior of induced EMF in different conductor shapes and orientations
  • Learn about applications of electromagnetic induction in real-world devices, such as generators
USEFUL FOR

Students of physics, educators teaching electromagnetism, and engineers involved in designing electromagnetic systems will benefit from this discussion.

clementc
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Homework Statement


Hey guys,
This is just a qualitative question.
So assume I have a massive super large magnetic field, and pull a straight, isolated conducting wire sideways through it with constant velocity. I know that the EMF induced is given by
emf = Blv where
l is the length of the conductor
B the magnetic field strength
and v the velocity with which the wire moves

But say I have a square loop entirely in the field, and move it again with velocity v (it still remains entirely in the field)
Is there still emf induced? By Faraday's law, there's no change in flux, so hence there should be no emf. By I just don't know why.
I mean if emf is induced even for an isolated straight wire, why isn't it for a square loop?
I'm thinking it's kind of because the 2 vertical sides of the square loop both have charges trying to move up/down them (depending on the direction B and which way the loop moves), so they kind of "crash" into each other at the top and bottom edges and cancel out each other?
I'm sorry if it's kind of confusing, but does anyone know?

Thank you very much!
 
Physics news on Phys.org
when a straight wire moves, it behaves as though the area enclosed by an imaginary loop with the wire as one edge is increasing. but for a square loop, the area remains constant.
 

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