Is magnetic flux possible through an open surface?

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SUMMARY

Magnetic flux can indeed occur through an open surface, particularly when a magnetic field changes over time. In the context of a circular arc, an induced electromotive force (emf) will be generated if the magnetic field at the center varies. The discussion clarifies that in electromagnetism, flux refers to the total flow through a surface, defined as the integral of the normal component of the vector field. Furthermore, Gauss' law indicates that the scalar flux of a magnetic field through a closed surface is zero.

PREREQUISITES
  • Understanding of electromagnetic principles
  • Familiarity with Gauss' law and its applications
  • Knowledge of scalar and vector fields
  • Basic concepts of electromotive force (emf)
NEXT STEPS
  • Study the implications of Gauss' law for magnetism
  • Explore the relationship between changing magnetic fields and induced emf
  • Learn about the properties of magnetic materials, such as ferric substances
  • Investigate the mathematical formulation of magnetic flux and its applications
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Students and professionals in physics, electrical engineers, and anyone interested in the principles of electromagnetism and magnetic field behavior.

phymatter
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Is it possible to have magnetic flux through an open surface ?
i mean if there is a circular arc and magnetic field at the centre changes with time then will there be any induced emf in the arc ?
 
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Yes it is possible.

Magnetic fields travel through space.
They like to travel through some materials better than others(Ferric), so you can guide them with the right material.

Definition/Summary
Flux sometimes means total flow through a surface (a scalar), and sometimes means flow per unit area (a vector).

In electromagnetism, flux always means total flow through a surface (a scalar).

Scalar flux is the amount of a vector field going through a surface: it is the integral (over the surface) of the normal component of the field:

For a closed surface, this equals (Gauss' theorem, or the divergence theorem) the integral (over the interior) of the divergence of the field: .

Therefore the scalar flux, through a closed surface, of an electric field is proportional to the enclosed charge (Gauss' law: ), and of a magnetic field is zero (Gauss' law for magnetism: ).
 

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