How Do You Calculate the Electric Field of a Finite Charged Slab?

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To calculate the electric field of a finite charged slab with a charge density of rho=cx^2, one must apply Gauss's law, which involves the integral of the electric field over a closed surface. The problem specifies calculating the electric field at x=2 for a slab extending from x=-3 to x=3, infinite in the y and z directions. A suitable closed surface must be chosen for the integration, and the volume integral will be performed over this surface. Visualizing the problem with a diagram can aid in understanding the geometry involved. Properly setting up the integrals is crucial for solving the electric field calculation.
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Homework Statement



Need to calculate the electric field at x=2 for sheet of charge that extends from x=-3 and x=3 and is infinite in y and z. charge density rho=cx^2 c is a given numerical value

Homework Equations



integral(E.dS)= (1/epsilon)*volume integral(p dT)

The Attempt at a Solution



I'm completely at ends even where to start! Any help would be appreciated
 
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I would start by drawing a picture of the problem.

The integral you've given is Gauss's law. In order to solve it you need to integrate over a closed surface. So you need to think of an appropriate closed surface to integrate over. The volume integral will just be over the volume of the closed surface.
 

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