I'm a bit confused about how to calculate the $E-\text{field}$ in a spherical capacitor.
As many sources state out, its calculated the same way as for a point charge e.g. for a charged sphere: $E = Q/(4\pi\epsilon r^2)$ for $r\geq\text{the radius of the sphere}$.
This is equal to the eletric field of the inner part of the capacitor, again only for $r\geq\text{ the radius of the inner part}$.
This leads me to the following question: What's the electric field "produced" by the outer part of the capacitor inside the capacitor?
Many sources in german language state out, that the electric field inside a conductive hollow sphere is zero. It seems logic to me that this is the case for the center of the sphere, but what about a point near the rim of the sphere?
Edit: I understand that field lines go from positive to negative charges. Since we have no negative charges inside a empty hollow sphere we have no field lines there ergo no electric field. But in case of a capacitor we put a charged sphere inside the the shell with opposite sign of the charge as the shell. Why do we then ignore the field from the shell?