Consider a grounded conducting sphere of radius a in the, Physics

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Consider a grounded conducting sphere of radius a in the

Consider a grounded conducting sphere of radius "a" in the presence of a point charge "Q" a distance "D" away from the center of the sphere. How do you show the electric field E is everywhere normal of the sphere, and how do you find the induced charge per unit area of the sphere? Does this satisfies La'Place's equation

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