A positively charged nonconducting infinite sheet that has a uniform surface charge density (sigma) lies in an

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A positively charged nonconducting infinite sheet that has a uniform surface charge density \(\sigma\) lies in an \(x y\) plane. As shown in Figure P24.102, a circular region of radius \(R\) has been cut out of the sheet.

(a) What is the electric field magnitude at the center of the circle? 

\((b)\) Use superposition to calculate the electric field, both magnitude and direction, at a distance \(z=4 R\) above the center of the circle.

Data from Figure P24.102

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