The electric field due to a charged circular disk of radius \( R \) and uniform charge density \( \sigma \) along a perpendicular bisector of length \( x \) through the exact center of the disk is:\[E_x = \frac{\sigma}{2\varepsilon_0} \left( 1 - \frac{x}{\sqrt{R^2 + x^2}} \right)\]A system is made of 2 charged disks, each with a diameter of 12 cm, that are parallel to each other and spaced 2 cm apart. The left disk has a charge of -7.1 mC and the right disk has a charge of -7.1 mC.What is the area charge density \( \sigma \) (in C/m\(^2\)) of the left charged disk?

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