This is my first question and appreciate all your help.
An infinitely wide conductor is parallel to two infinitely wide planes with surface charge density -2𝜎 and +𝜎 respectively.
How to find the induced charge density on both sides of the conductor?
I know the electric field generated by a charged plate with surface density 𝜎 is
𝐸=𝜎/2𝜖. While for a charged conductor the electric field is
But I'm not sure how to deal with the unbalanced charges on both sides of the conductor. I think after all the induced charges should add up to zero? So the induced charge densities can NOT be +2𝜎 and -𝜎 for the up and down side of the conductor?
this question is the case when both planes have equal but opposite charges, and in this case the set-up could be seen as two capacitor in parallel.