Energy stored in charged ring current

AI Thread Summary
The discussion revolves around calculating the mass and work involved in constructing a charged, spinning ring, specifically in the context of Kerr-Newman black holes. The original poster expresses frustration over their inability to compute the work required to create such a ring and questions the infinite work needed to shrink an infinitely large charged ring to a finite radius. Responses indicate that the infinite result is indeed an artifact of assuming an infinitely thin wire. The conversation highlights the complexities of classical calculations in electrostatics and the implications of charge density and angular velocity on energy considerations. Overall, the thread emphasizes the challenges faced in theoretical physics calculations involving charged systems.
michael879
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I'm a little disappointed in myself for not being able to calculate this or find the answer online, but I've hit a bit of a mental block so I was hoping someone could help me out a bit. I was doing a thought experiment involving kerr-newmann black holes, and basically I would like to calculate what the mass of a charged, spinning ring would be CLASSICALLY.

So let's say there is a ring of radius r, charge density λ, and angular velocity ω. How much work would it take to construct such a ring?

A more simple question, that I'm struggling with as well (not proud of myself here) is just to find the work required to shrink an infinitely large charged ring to radius r. The answer I get is infinite but I find that very hard to believe...
 
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