- #1
AxiomOfChoice
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How can you argue, by symmetry, that the vector potential inside a solenoid depends only on [itex]\rho[/itex], the perpendicular distance from the axis of the solenoid? And how can you argue that there is only a [itex]\hat{\phi}[/itex] (azimuthal) component of the vector potential, such that [itex]\vec{A}[/itex] takes the form
[tex]\vec{A}(\vec{r}) = A_\phi(\rho) \hat{\phi}[/tex]
My E&M teacher is fond of talking about how we can "use symmetry arguments" to reach these conclusions without actually providing the arguments for us. It's a little frustrating...what symmetry arguments is he talking about?
[tex]\vec{A}(\vec{r}) = A_\phi(\rho) \hat{\phi}[/tex]
My E&M teacher is fond of talking about how we can "use symmetry arguments" to reach these conclusions without actually providing the arguments for us. It's a little frustrating...what symmetry arguments is he talking about?
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