Electric Fields of Concentric Cylinders

[roman15]

Homework Statement

A cylinder of radius r is surrounded by a concentric cylinder of inner radius Ra and outer radius Rb. The inner cylinder has a charge density lambda (charge per unit length) and the concentric cylinder has no net charge. I have to find the electric fields:
a)inside the inner cylinder
b)between the inner cylinder and the inner radius of the concentric cylinder
c)inside the volume of the concentric cylinder
d)outside the concentric cylinder

Homework Equations

The Attempt at a Solution

ok since the concentric cylinder has a net charge of zero, the electric field inside it is zero
and since it doesn't has a charge of zero, does that mean that there is no field outside the interior and exterior surfaces of the concentric cylinder too?
and then would the electric fields for inside the inner cylinder and outside of it just be the electric fields for any charged cylinder?

thanks for the help

 

[roman15]

oops, sorry what i wrote in the attempt, i said the concentric cylinder doesn't have a charge of zero, i meant it does!