Electric Flux Calculation for Oppositely Charged Circular Plates

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Homework Statement


Two circular parallel metal plates are oppositely charged with q = ±1.0 nC. The two plates each have a radius of 5.00 cm and are separated by 1.00 mm. (a) Estimate the electric flux for a circular area of radius 5.00 cm sandwiched between the two plates. (b) Repeat for a circular area of radius 5.00 meters – the result would be essentially the same. Explain why this would be the case.

I don't know how to start. I thought that any charge outside a gauss surface is zero to that surface.
 
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This isn't really a Gauss's Law problem. Gauss's Law deals with flux through closed surfaces. Here, we have an open surface.

HINT: Let's start at the beginning. Can you state the definition of electric flux for me?
 

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