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Nov 26, 2022 at 10:46 vote accept neel g
Nov 25, 2022 at 18:53 comment added Jim @neelg $B$ is not a measure of energy directly. To generate a magnetic field using, say, a wire is easy. However, if that magnetic field would interact with another object such that there's a transfer of energy, that acts like increased resistance in the wire. You need to pump in more voltage (energy) to run it. Having a constant $B$ is not the same thing as a constant input of energy
Nov 25, 2022 at 17:53 answer added Dale timeline score: 2
Nov 25, 2022 at 17:27 history edited neel g CC BY-SA 4.0
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Nov 25, 2022 at 17:24 comment added neel g @Jim The source of the external $B$ could be set constant - i.e, there is a constant amount of energy going into the system in the form of the $B$ electric field. You could generate it with a variety of apparatus. What matters it that the energy input-ted is the same. The definition of $B$ is defined per unit length of the conductor, so you can assume that is indeed constant.
Nov 25, 2022 at 15:50 review Close votes
Nov 26, 2022 at 10:51
Nov 25, 2022 at 15:34 comment added Dale The geometry of this is unclear. Are you intending a straight conductor? If so are you allowing charge to build up at the end or do you have a return path of some sort that you are neglecting? Or are you intending the wire to form a loop? In which case a different formula would be more appropriate. Please edit the question to clarify
Nov 25, 2022 at 14:46 comment added Jim What is generating your external $B$ field? Is it possible that this is providing a source of energy? The scenario with $kL$ is no more a violation of conservation of energy than the scenario without $k$. Where did the energy transferred to the wire come from in the first case? It's safe to say the energy in the second case comes from the same source, it simply draws more energy from that source
Nov 25, 2022 at 14:26 history edited Qmechanic CC BY-SA 4.0
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Nov 25, 2022 at 14:09 history asked neel g CC BY-SA 4.0