What is the time period for a rotating coil in a constant magnetic field?

In summary, a circular coil with a radius of 10 cm and 25 turns rotates in a constant magnetic field of strength 2.4 T, with the axis of rotation perpendicular to the field. The coil rotates at a frequency of 50 Hz, and the induced peak voltage can be calculated using the equation emf=-Ndelta flux/delta t. To calculate the time, one would need to find an expression for the flux as a function of time and take the derivative. The time interval for one period is 0.02 seconds, as the flux is a periodic function with a period of 0.02 seconds.
  • #1
chukie
80
0
A circular coil, with radius of 10 cm, and 25 turns, rotates in a constant magnetic field of
strength 2.4 T, with the axis of rotation perpendicular to the direction of the magnetic
field.
If the coil rotates at a frequency of 50 Hz, what is the induced peak voltage?

Okay so I know the equation to use is:
emf=-Ndelta flux/delta t

I know all the variables in the equation except for time. I was wondering how you calculate the time. Is it just 1/50Hz?
 
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  • #2
What is happening during that 1/50 of a second? The coil is being spun around an axis perpendicular to the external magnetic field. So what is going on with the flux through the coil? (The magnetic field strength is not changing at all!)
 
  • #3
dynamicsolo said:
What is happening during that 1/50 of a second? The coil is being spun around an axis perpendicular to the external magnetic field. So what is going on with the flux through the coil? (The magnetic field strength is not changing at all!)

So is the change in time just 1/50=0.02s? The number seems a bit small to me.
 
  • #4
Have you had calculus and used derivatives yet?

You would start by figuring out an expression for the flux as a function of time, then take the derivative.
 
  • #5
chukie said:
So is the change in time just 1/50=0.02s? The number seems a bit small to me.

No. After 0.02s (or 1 period), the flux will be exactly what it was at 0.00s. This is because the flux is a periodic function of time, with period 0.02s.
 

What is Faraday's law of induction?

Faraday's law of induction states that when a conductor is placed in a changing magnetic field, an electromotive force (EMF) is induced in the conductor. This induced EMF can then lead to a current flow in the conductor.

What is the mathematical formula for Faraday's law of induction?

The mathematical formula for Faraday's law of induction is: EMF = -N(dΦ/dt) where EMF is the induced electromotive force, N is the number of turns in the coil, and dΦ/dt is the rate of change of the magnetic flux through the coil.

What is the significance of Faraday's law of induction?

Faraday's law of induction is significant because it explains how electricity can be generated from a changing magnetic field. This is the principle behind generators, which are used to produce electricity in power plants, as well as many other electrical devices.

What are some real-life applications of Faraday's law of induction?

Faraday's law of induction has many applications in everyday life. Some examples include: electric generators, transformers, induction cooktops, and even wireless charging technology for electronic devices.

Are there any limitations to Faraday's law of induction?

Yes, there are some limitations to Faraday's law of induction. It only applies to conductors that are in a changing magnetic field, and the induced EMF is dependent on the rate of change of the magnetic field. Additionally, the law does not hold true for non-linear materials and can only be used for idealized systems.

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