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user56199
user56199

I have seen Gauss Law being used for a uniformly charged hollow sphere rotating with $\omega$. How is that valid to use Gauss law since it is an electrostatic law and if it is valid, why do we get a net constant electric field outside the sphere inspite of the accelerating charges - does the net time dependence cancel out ? How do I see this cancellation intuitively ? Also, can I see intuitively why the net radiation emitted is zero instead of integrating the Poynting flux ?

I have seen Gauss Law being used for a charged sphere rotating with $\omega$. How is that valid to use Gauss law since it is an electrostatic law and if it is valid, why do we get a net constant electric field outside the sphere inspite of the accelerating charges - does the net time dependence cancel out ? How do I see this cancellation intuitively ? Also, can I see intuitively why the net radiation emitted is zero instead of integrating the Poynting flux ?

I have seen Gauss Law being used for a uniformly charged hollow sphere rotating with $\omega$. How is that valid to use Gauss law since it is an electrostatic law and if it is valid, why do we get a net constant electric field outside the sphere inspite of the accelerating charges - does the net time dependence cancel out ? How do I see this cancellation intuitively ? Also, can I see intuitively why the net radiation emitted is zero instead of integrating the Poynting flux ?

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user56199
user56199

Why would a rotating charged sphere not have time varying electric field?

I have seen Gauss Law being used for a charged sphere rotating with $\omega$. How is that valid to use Gauss law since it is an electrostatic law and if it is valid, why do we get a net constant electric field outside the sphere inspite of the accelerating charges - does the net time dependence cancel out ? How do I see this cancellation intuitively ? Also, can I see intuitively why the net radiation emitted is zero instead of integrating the Poynting flux ?