Question: 1. Consider a point charge q outside a grounded conducting sphere of radius R, at a distance a from its center. For Simplicity, assume the

1. Consider a point charge q outside a grounded conducting sphere of radius R, at a distance a from its center. For Simplicity, assume the point charge is on the z-axis and the center of the conducting sphere is at the origin. Find the charge density on the sphere as a function of 6.

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