# Infinite sheets of charge

## Homework Statement

Two infinite sheets with surface charge density σ1 and σ2, respectively, are oriented perpendicular to the x-axis. An infinite, conducting slab of thickness a is placed between the charged sheets as shown in the figure. The conducting plate has a net charge per unit area of σC.

σ1=8.85$$\mu$$C/m^2
σ2=1.5$$\mu$$C/m^2
σC=-3$$\mu$$C/m^2
a=2cm

## Homework Equations

E=$$\sigma$$/2$$\epsilon$$0

## The Attempt at a Solution

I figured since the magnitude of the electric field is not determined by displacement, I could just use the above equation. The only problem it that the conducting slab has different surface charge density on each side and I'm not sure how to start this. I have an exam tomorrow so any help is greatly appreciated!

I also attached a picture of the problem.

## The Attempt at a Solution

#### Attachments

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