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Magnetic energy stored in a cylindrical conductor
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[QUOTE="rude man, post: 6016415, member: 350494"] First, I agree with you that the B field outside the conductor must be added to that of the inside. I also agree with the given answer for just the inside mag field. Do you know how you got the energy (per unit length BTW) for the inside energy? If so, proceed exactly the same way for the outside: find energy in a cylindrical shell of thickness dr, length l and radius r. Compute the energy density at distance r from the center of the cylinder using the formula for B(r), r > a, which you already have. So differential energy = energy density times differential volume. The it should be obvious what the limits of integration over r have to be. Keep the length l throughout your computations so you can check dimensions as you go, then at the end you can make l=1. [/QUOTE]
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Magnetic energy stored in a cylindrical conductor
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