If the magnetic field B is uniform in space, show that this is consistent with writing A = 5 (B x r) and show that V · A = 0. Are there other choices of A that would produce the same B?

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If the magnetic field B is uniform in space, show that this is consistent with writing A = 1/2 (B×r) and show that div A=0. Are there other choices of A that would produce the same B?

If the magnetic field B is uniform in space, show that
this is consistent with writing A = 3 (B x r) and show
that V· A = 0. Are there other choices of A that would
produce the same B?
Transcribed Image Text:If the magnetic field B is uniform in space, show that this is consistent with writing A = 3 (B x r) and show that V· A = 0. Are there other choices of A that would produce the same B?
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