Electrostatics, Gauss' Law

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What is the electrical field inside a nonconducting charged hollow sphere?

My Explanation:
In both cases, conducting and nonconducting hollow sphere, the flux inside is zero because there is no charge inside
However in conducting sphere electrical field is zero anywhere inside due to rearrangement of charges and not because flux is zero
But in case of nonconducting charged sphere, electrical field is not zero inside the sphere due to lack of rearrangement (flux in this case is still zero).
Question: how do you calculate electrical field at inside point in case of nonconducting charged sphere? ( a little off centre of course)

Thanks!
 

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