Expression for the change in magnetic fux for a loop of varying area and B.

In summary, the expression for the change in magnetic flux for a loop of varying area and B is given by ΔΦ = BΔA cosθ, where ΔΦ is the change in magnetic flux, B is the magnetic field strength, ΔA is the change in area of the loop, and θ is the angle between the magnetic field and the normal to the loop's surface. Magnetic flux is defined as a measure of the amount of magnetic field passing through a given area, represented by the symbol Φ and measured in units of webers (Wb). The cosine term in the expression for change in magnetic flux takes into account the angle between the magnetic field and the normal to the loop's surface, which affects the
  • #1
waqarrashid33
77
0
the expression for the magnetic flux changing area is :
change in m.flux=B.dA
and for varying magnetic field
change in m.flux=dB.A
but for when the both is changing then what will the expression
 
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  • #2
Hi waqarrashid33! :smile:

If the magnetic flux across a surface is B.A, then just apply the chain rule …

d(B.A) = B.dA + dB.A :wink:
 

Related to Expression for the change in magnetic fux for a loop of varying area and B.

1. What is the expression for the change in magnetic flux for a loop of varying area and B?

The expression for the change in magnetic flux for a loop of varying area and B is given by ΔΦ = BΔA cosθ, where ΔΦ is the change in magnetic flux, B is the magnetic field strength, ΔA is the change in area of the loop, and θ is the angle between the magnetic field and the normal to the loop's surface.

2. How is magnetic flux defined?

Magnetic flux is a measure of the amount of magnetic field passing through a given area. It is represented by the symbol Φ and is measured in units of webers (Wb).

3. What is the significance of the cosine term in the expression for change in magnetic flux?

The cosine term in the expression for change in magnetic flux takes into account the angle between the magnetic field and the normal to the loop's surface. This angle affects the amount of magnetic field that actually passes through the loop, as the magnetic field lines are perpendicular to the loop's surface.

4. Does the expression for change in magnetic flux apply only to loops of varying area?

No, the expression for change in magnetic flux can also be used for any surface, not just loops, as long as the magnetic field and area are perpendicular to each other.

5. How does the change in magnetic flux affect electromagnetic induction?

The change in magnetic flux is a key factor in electromagnetic induction, which is the process of generating an electric current by varying magnetic fields. According to Faraday's law of induction, a changing magnetic flux induces an electromotive force (EMF) in a conductor, which in turn creates an electric current.

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