When Does the Rate of Change of Magnetic Flux Equal Zero?

In summary, the rate of change of magnetic flux in linkage with a coil rotating in a uniform magnetic field equals zero when the angle between the perpendicular to the area and the magnetic field varies with time as the angular speed of the rotation. This can be determined by differentiating the equation ##\Phi = A B N \cos(\theta)## and setting it equal to zero.
  • #1
Neha98
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When does the rate of change of magnetic flux in linkage with a coil rotating in a uniform magnetic field equal zero?
 
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  • #2
Hello Neha, :welcome:

PF rules want you to show a bit more: equations, and an attempt at solution. To get started:

In general you have something like ##\Phi = A B N \cos(\theta) =A B N \cos(\omega t) ## with ##\Phi## the flux, A area, B magnetic field, N number of turns and the angle ##\theta## between the perpendicular to the area and the magnetic field ##\vec B## varies with time as ##\omega t##. ##\omega## is the angular speed.

The rate of change is ##{d\Phi\over dt}## and I expect you can do the differentiation and find when it gives zero ?
 

Related to When Does the Rate of Change of Magnetic Flux Equal Zero?

1. What is electromagnetic induction?

Electromagnetic induction is the process of generating an electric current by moving a conductor through a magnetic field or by changing the magnetic field around a conductor.

2. How does electromagnetic induction work?

Electromagnetic induction works by creating a magnetic field around a conductor, which can be a wire. When a magnet is moved near the wire or the wire is moved near a magnet, the magnetic field around the conductor changes, inducing an electric current in the wire.

3. What are the applications of electromagnetic induction?

Electromagnetic induction has many applications, including generators, motors, transformers, and wireless charging. It is also used in various household appliances, such as refrigerators and washing machines.

4. What is Faraday's law of electromagnetic induction?

Faraday's law of electromagnetic induction states that the induced electromotive force (EMF) in a circuit is directly proportional to the rate of change of the magnetic flux through the circuit.

5. How is electromagnetic induction related to electricity?

Electromagnetic induction is closely related to electricity as it is one of the fundamental mechanisms by which electricity is generated and used. It allows for the transformation of mechanical energy into electrical energy and vice versa.

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