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A sphere with a uniform charge density ρ and radius R has a cavity of radius R/2 as shown in the figure below. Find the electric field at a point (x, y, z) outside the sphere. The center of the sphere is at (0, 0, 0), and the center of the cavity is at (R/2, 0, 0).

A sphere with a uniform charge density ρ and radius R has a cavity of radius R/2 as shown in the figure below. Find the electric field at a point (x, y, z) outside the sphere. The center of the sphere is at (0, 0, 0), and the center of the cavity is at (R/2, 0, 0).

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A sphere with a uniform charge density ρ and radius R has a cavity of radius R / 2 as shown in the figure below. Find the electric field at a point ( x , y , z ) outside the sphere. The center of the sphere is at ( 0 , 0 , 0 ) , and the center of the cavity is at ( R / 2 , 0 , 0 ) .

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