A cylindrical portion of radius \(r\) is removed from a solid sphere of radius \(R\) and uniform volume charge density \(\rho\) in such a way that the axis of the hollow cylinder coincides with one of the diameters of the sphere. \((r<<<R)\). Then the electric field at point \(A\) is
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**Assumptions**

- \(\hat{i}\) is a unit vector to the right

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