Thanks for the answer.
That's exactly what I did, but I have a small concern.
The field inside the hole should be λ_{0}/2πε_{0}r, because all we have in the hole is the line distribution. That is not result I get when I add the field from the above 3 distinct distributions. Do I miss anything...
Homework Statement
We have a infinite plate on the yz plane from x=-d/2 to x=d/2. The plate has a uniform volume charge distribution ρ_{0}. Parallel to the z axis at y=y_{0} we have a cylindrical hole with a radius a. At the center of the hole (paralle to the z-axis) we have an infinite line...