I am having trouble understanding how to find symmetries given a problem.(adsbygoogle = window.adsbygoogle || []).push({});

Ex:

Cylinder, infinite in z, that is a conductor in electrostatics.

My reasoning is: assuming a homogenous charge distribution, the E-field should be symmetric for translations in z and phi so those derivatives are zero. But how do I do for the components? My only guess was to take the divergence and curl and use helmholtz theorem, but in the curl I still have dEz/drho and an Ephi term. Is the convention to use faradays law and assuming Ez and Ephi are the trivial solutions to the PDE so the Efield only has a rho component?

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# Homework Help: I am having trouble understanding how to find symmetries given a

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