Help With Electromagnetic Induction Problem

In summary: EM has been asked to help me hereIn summary, the conversation is about a problem in electromagnetic induction where a wheel with a radius R is rotating freely in a horizontal plane with a magnetic field \vec B = -B_0\hat k that extends from r to R. The collapse of the magnetic field creates an emf that causes charges to move, providing angular acceleration to the wheel. To find the emf, Faraday's law is used and the \Delta t term should cancel out when calculating the angular impulse. The speaker has asked for help from AMEM in understanding this concept.
  • #1
ambuj123
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Hello
Well i am having this strange problem in electromagnetic induction can someone help me here?
 

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  • #2
ambuj123 said:
Hello
Well i am having this strange problem in electromagnetic induction can someone help me here?
It is not entirely clear to me how the diagram relates to the description but this is what it looks like: There is a wheel of radius R in a horizontal plane free to rotate about the z axis, the z axis being in the direction of [itex]\hat k[/itex]. The magnetic field is [itex]\vec B = -B_0\hat k[/itex] and extends over a 'doughnut' area from r to R. When the magnetic field collapses, Faraday's law states that there is an electro-motive force or voltage created in a closed loop which encloses the magnetic field. This emf causes the charges to move. Since the charges are 'pasted' to the rim of the wheel, the emf provides angular acceleration to the wheel.

To find the emf you would have to use Faraday's law:
[itex]V\Delta t = -N\Delta BA[/itex] where N = 1 (no. of windings) and A is the area of the magnetic field enclosed by the wheel rim. The [itex]\Delta t[/itex] term should fall out when you work out the angular impulse [itex]T\Delta t[/itex] in terms of [itex]V\Delta t [/itex].

AM
 
  • #3


Sure, I'd be happy to help with your electromagnetic induction problem. Can you provide more specific details about the problem you are facing? This will help me understand the issue better and provide you with a more accurate solution. Also, have you tried any troubleshooting steps or have any idea what could be causing the problem? Let me know and I'll do my best to assist you.
 

FAQ: Help With Electromagnetic Induction Problem

What is electromagnetic induction?

Electromagnetic induction is the process by which a changing magnetic field induces an electric current in a conductor. This phenomenon was first discovered by Michael Faraday in the 1830s.

How does electromagnetic induction work?

Electromagnetic induction occurs when a conductor, such as a wire, is placed in a changing magnetic field. The magnetic field will induce a current in the wire, which can then be used to power devices or perform other tasks.

What are some real-world applications of electromagnetic induction?

One common application of electromagnetic induction is in the functioning of generators, which convert mechanical energy into electrical energy. This process is also used in devices such as transformers, motors, and induction cooktops.

What factors affect electromagnetic induction?

The strength of the magnetic field, the speed of the change in the field, and the properties of the conductor, such as its length and material, can all affect the amount of induction that occurs. Additionally, the presence of other conductors or magnetic materials in the vicinity can also impact the process.

How can I solve problems related to electromagnetic induction?

To solve problems related to electromagnetic induction, you will need to use the equations and principles of electromagnetism, such as Faraday's law and Lenz's law. It is also important to carefully consider the specific variables and conditions given in the problem to accurately solve it.

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