Hey, I need help to use the Gauss law in this problem:(adsbygoogle = window.adsbygoogle || []).push({});

We have A planar slab of charge with a charge density ρ_{v}=ρ_{vo}sin(2*pi/(2*a)),for -a<x<a

the thickness of the stab is 2*a.

the horizontal y axis passes through the middle of the stab.

the x axis is vertical

a) Find the electric field vector in the region -a<x<a.

I know I need to use the Gauss law.

But I have some problems to establish the integral.

What surface should I take?

I tried the cylinder as surface of integration.

I got:

FLUX=2(pi)x*L*D_{x}=Q_{enclosed}

Then I am stuck.

The Q_{enclosed}integration give me some problem.

Please can someone help me to establish the Gauss law to solve the problem?

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# Gauss law

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