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Magnetic Flux-Definition, Unit, and Properties

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The total magnetic field that passes through a given area is defined as magnetic flux. It is an effective tool for describing the effects of the magnetic force on something in a specific location.
Magnetic flux is given by the dot product of the magnetic field and the area vector and it is a scalar quantity.
Weber (Wb) is the SI unit of magnetic flux. The unit of magnetic induction is the tesla (T).
1 weber per square meter = 1 tesla.

Magnetic flux is defined as the dot product of the magnetic field and the area vector and it is a scalar quantity.

Definition of Weber

The magnetic flux is a one-weber magnetic field passing through a conducting loop and decreasing to zero at a uniform rate of one second inducing a one-volt electric potential in the loop. A weber is equal to one volt per second.

Magnetic Flux Density

Magnetic flux is a quantity of magnetism that is defined as the total number of magnetic lines of force passing through a given area in a magnetic field. Magnetic flux through a plane A in a uniform magnetic field B can be expressed as:


ϕB​=B.A=BAcosθ

Magnetic Field Lines

Magnetic field lines, also known as magnetic lines of force, are a visual representation of the magnetic field. The magnitude and direction of the magnetic field are represented by the density and direction of the lines in space.
Magnetic field properties are as follows:

  • Two magnetic field lines will never cross.
  • This is because magnetic field lines indicate the direction of the net magnetic field, and if they intersect, the net magnetic field will have two directions, which is impossible.
  • Magnetic field lines connect to form a closed loop.
  • Magnetic field lines extend from the north pole to the south pole.

Electromagnetic Induction

Electromagnetic induction is the generation of an electric current in a conductor as a result of a change in magnetic flux.
It is the inverse of the magnetic effect of current, because in the magnetic effect of current, a magnetic field is produced by current, whereas in electromagnetic induction, an electric current is produced by a magnetic field.
Please rerfer to the full article of “Electromagnets”.

Magnetic Flux in Simple Terms

Magnetic flux is a measure of the total magnetic field passing through a given surface. It is defined as the product of the surface area and the component of the magnetic field perpendicular to that surface. The unit of magnetic flux is the weber (Wb), which is equivalent to a tesla meter squared (T·m²). Magnetic flux can be thought of as a measure of the amount of magnetic energy stored in a magnetic field, and it plays a crucial role in many electrical and electronic applications, such as transformers, generators, and motors.

Significance of Magnetic Flux

The significance of magnetic flux lies in the fact that it is a measure of the strength of the magnetic field and its effect on a given area. It is an essential quantity in the study of electromagnetic induction, where changes in magnetic flux can induce an electromotive force (EMF) in a conductor. This is the basis for the operation of generators, transformers, and inductors.

In addition, magnetic flux is also important in the study of electromagnetic waves and the behavior of electric circuits with magnetic components, such as inductors and transformers. The concept of magnetic flux is also crucial in the understanding of magnetic materials and their properties.

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Umair Javaid, PhD Student
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