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bob012345
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Hello,
As a heuristic tool for a complex problem, I'm trying to understand a series of nested conducting loops each with a initial identical current on it. These perfectly conducting loops are in the same plane each with that current in either direction. Each nested loop is perfectly conducting but also perfectly elastic, it can grow or shrink and only has electromagnetic forces.
Starting with one loop, we add another loop and try and figure out how the first loop changes and what the final configuration is that minimizes overall energy. They can merge into one loop or remain separate loops.
What my conceptual issues are is when we get beyond a couple loops and one has induced currents and forces between the loops. I just want to get a handle on a systematic process of understanding what one might call paramagnetic or diamagnetic forces, depending on whether they attract or repel for each new loop and how each new loop effects the previous loops.
The magnitude of starting currents in each loop is fixed but can be in either direction but once set for a loop doesn't change.
I just need hints at a systematic approach. Thanks.
As a heuristic tool for a complex problem, I'm trying to understand a series of nested conducting loops each with a initial identical current on it. These perfectly conducting loops are in the same plane each with that current in either direction. Each nested loop is perfectly conducting but also perfectly elastic, it can grow or shrink and only has electromagnetic forces.
Starting with one loop, we add another loop and try and figure out how the first loop changes and what the final configuration is that minimizes overall energy. They can merge into one loop or remain separate loops.
What my conceptual issues are is when we get beyond a couple loops and one has induced currents and forces between the loops. I just want to get a handle on a systematic process of understanding what one might call paramagnetic or diamagnetic forces, depending on whether they attract or repel for each new loop and how each new loop effects the previous loops.
The magnitude of starting currents in each loop is fixed but can be in either direction but once set for a loop doesn't change.
I just need hints at a systematic approach. Thanks.
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