E1.3 **Problem 3**A rectangle with sides \(a\) and \(b\) is placed in the \(xy\)-plane and centered at the origin, with its sides parallel to the \(x\)- and \(y\)-axes. Assume the rectangle carries a uniform charge with charge density \(\rho_s\).Tasks:a. Use Coulomb's law to find the electric field \(\vec{E}\) at the point \((0, 0, z)\).b. Find the electric potential \(V\) at the point \((0, 0, z)\).c. Let \(a \to \infty\) and \(b \to \infty\). Use part (a) to find the electric field due to an infinite sheet of charge.

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