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I was wondering the most suitable Gaussian Surface to choose that would allow me solve the electric field easily.

Given 2 insulating infinitely long plates that have charge separation. We need to find the Electric Field Intensity at points 1,2 and 3 respectively.

Diagram

What would be the most suitable Gaussian Surface to choose for this problem?

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The charge separation is of no use, think of it as four big plates and use the formula of infinite plate $\frac{Q}{2a}\epsilon_0$ and keep in mind the direction of the field exerted by the plates at the given point . If you want it to solve it by taking a Gaussian surface then take it as a cuboid passing through the plates.

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