Electric filed of each plate of capacitor

hello
here in this problem as you see we want to obtain the pressure between thew plate of capacitor

my question is about the capacitor each plate electric filed equation.
as we know the electric filed of an infinite plate is

but the equation of an conductor plate is

as we know the each plate of capacitor is conductor.why in above problem the write use the infinite plate equation instead of conductor plate equation?

Thanks

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