Infinite sheets of charge w/ conducting slab

AI Thread Summary
The discussion centers on a physics homework problem involving two infinite sheets with surface charge densities σ1 and σ2, and a conducting slab with a net charge density σC between them. The participant has successfully calculated the x-component of the net electric field at x = 0 but is uncertain about determining the surface charge density on each side of the slab. It is clarified that the surface charge densities on the slab's sides must sum to the total surface charge density of the slab. The participant seeks guidance on how to approach this calculation. Understanding the relationship between the electric fields and the charge densities is crucial for solving the problem effectively.
rgalvan2
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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\muC/m^2
σ2=1.5\muC/m^2
σC=-3\muC/m^2
a=2cm

Homework Equations


E=\sigma/2\epsilon0

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!
 
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What are you asked to find?
 
Oops sorry:
Calculate the x-component of the net electric field at x = 0.
I figured that part out though.
The next part asks to calculate the surface charge density on each side of the slab. I'm not sure how to do that. I do know that both sides need to equal the total surface charge density of the slab. Is that right?
 

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