Help me understand magnetic flux linkage

In summary, the magnetic flux linkage is determined by the product of the magnetic field strength, the area of the conductor, and the number of coils. The reason for including the entire cross section of the coil, including the empty space, is due to the concept of flux. This is a scalar product of the vectorial field with the normal vector to the surface, which determines the number of lines of field passing through the surface. The normal vector is important in ensuring maximum intensity of the field and if the lines are inclined, the flux is decreased.
  • #1
Bradley Tafe
8
0
Magnetic flux linkage = BAN
B=magnetic field strength per unit area
A=Area of conductor moved through the magnetic field
N=Number of coils

I don't understand when my physics textbook says the area of a single coil of wire moved through the magnetic field is π×radius of coil^2 as most of the coil is just empty space.

So why does the A include the entier cross section of the coil, including the empty space? Surely empty space moving through a magnetic field has no effect on magnetic flux linkage? Yet the formula includes this empty space.

What is the reason for this?
 
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  • #2
the reason is due to the concept of flux: it is a scalar product of the vectorial field with the normal vector to the surface.
That is it is important to know how many lines of field pass throught the surface, also if it is empty.
 
  • #3
More lines of field enter, more intensive is the magnetic field and its linkage, that is electromagnetic induction, and then more electrons move into the coin.
 
  • #4
Thank you for your response Pierce610. What is the normal vector to the surface?
 
  • #5
It is a vector perpendicular to a surface which transform a scalar entity, the surface, in a vector.
 
  • #6
It means that, like in the static of fluid, it is important that the lines of the fields are parallel to the the normal vector or perpendicular to the surface, it is the same, to transfer a maximum intensity of the field.
If the lines are inclinated it need to modulate (attenuate) the field multiply it by cosinus of the angle due to inclination.
Obviously in this condition the flux, B A cos x, is decreased.
 
  • #7
Thank you Pierce610
 
  • #8
Nice to help you.
Bye
 

What is magnetic flux linkage?

Magnetic flux linkage is a measure of the number of magnetic field lines that pass through a closed loop or circuit. It is often represented by the symbol Φ, and its unit of measurement is weber (Wb).

How is magnetic flux linkage calculated?

Magnetic flux linkage is calculated by multiplying the magnetic flux (Φ) by the number of turns in the coil (N). This can be represented by the equation Φ= BAN, where B is the magnetic field strength and A is the area of the loop or coil.

What factors affect magnetic flux linkage?

The factors that affect magnetic flux linkage include the strength of the magnetic field, the number of turns in the coil, and the area of the loop or coil. Additionally, the material of the core and the angle of the loop or coil with respect to the magnetic field can also impact the magnetic flux linkage.

Why is magnetic flux linkage important?

Magnetic flux linkage is important in understanding the behavior of electric circuits, as it is directly related to the production of electric current. It is also used in the design of transformers, motors, and other electromagnetic devices.

How is magnetic flux linkage related to Faraday's law of induction?

Magnetic flux linkage is directly related to Faraday's law of induction, which states that a changing magnetic field will induce an electric current in a closed loop or circuit. This law is the basis for the functioning of generators, which use the motion of a coil in a magnetic field to produce electricity.

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