Eddy Current in a rotationg disk

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SUMMARY

The discussion focuses on calculating the electromotive force (e.m.f.) generated by an Eddy Current in a rotating disk. The user derived the formula for e.m.f. as \( \frac{d\phi}{dt} = B \pi b^2 *\frac{\omega}{2\pi} \) and subsequently calculated the current \( I \) using \( I = \frac{ar \omega t}{\rho} \). The user expressed uncertainty about the simplicity of their approach, indicating a need for further clarification on the application of the formula \( F = BIL \) with respect to the geometry of the problem.

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  • Understanding of electromagnetic induction principles
  • Familiarity with the concept of Eddy Currents
  • Knowledge of the formulas for electromotive force (e.m.f.) and current calculation
  • Basic understanding of rotational dynamics
NEXT STEPS
  • Study the principles of electromagnetic induction in detail
  • Learn about the effects of Eddy Currents in conductive materials
  • Explore the application of the Lorentz force in rotating systems
  • Investigate advanced topics in rotational dynamics and their relation to electromagnetism
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Physics students, electrical engineers, and anyone interested in the practical applications of electromagnetism and Eddy Currents in rotational systems.

Delzac
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Homework Statement



As given in the picture.

The Attempt at a Solution



So this is what i have done.

I calculated:

[tex]\frac{d\phi}{dt} = B \pi b^2 *\frac{\omega}{2\pi} = e.m.f.[/tex]

[tex]R = \frac{\rho a}{at}[/tex]

Thus, [tex]I = emf/R = \frac{ar \omega t}{\rho}[/tex]

Sub in I into F = BIL taking L as a.

But i have a feeling that this is wrong, cause the working is too simple.

Any help will be greatly appreciated.
 

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Any help would be great.
 

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