Help With Electromagnetic Induction Problem

AI Thread Summary
The discussion centers on a problem related to electromagnetic induction involving a rotating wheel in a magnetic field. The wheel, with radius R, rotates about the z-axis, and the magnetic field, represented as B = -B0k, collapses over a defined area. According to Faraday's law, this collapse induces an electromotive force (emf) in a closed loop, causing charges at the wheel's rim to accelerate the wheel. To calculate the emf, the formula VΔt = -NΔBA is suggested, where N is the number of windings and A is the area enclosed by the wheel rim. Further clarification on specific issues or troubleshooting steps is requested to provide more tailored assistance.
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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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 \hat k. The magnetic field is \vec B = -B_0\hat k 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:
V\Delta t = -N\Delta BA where N = 1 (no. of windings) and A is the area of the magnetic field enclosed by the wheel rim. The \Delta t term should fall out when you work out the angular impulse T\Delta t in terms of V\Delta t.

AM
 


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.
 
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