Electric field in non conducting shell

1. The problem statement, all variables and given/known data

Q . Is the electric field zero inside a uniformly charged non conducting shell in the presence of an external charge ?

2. Relevant equations

3. The attempt at a solution

If the external charge had not been there ,then I am sure that the electric field inside at any point within the shell would be zero .Again,if it had been conducting shell,then too the electric field would have been zero even in the presence of an external charge.

But I think,the electric field will have a non zero value in the non conducting shell in the presence of an electric charge.

Could someone help me in clearing the doubt ?

Thanks

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