A nonconducting sphere 1.2 m in diameter with its center on the x axis at x =

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A nonconducting sphere 1.2 m in diameter with its center on the x axis at x = 4 m carries a uniform volume charge of density ρ = 5 μC/m3. Surrounding the sphere is a spherical shell with a diameter of 2.4 m and a uniform surface charge density σ = –1.5 μC/m2. Calculate the magnitude and direction of the electric field at

(a) x = 4.5 m, y = 0

(b) x = 4.0 m, y = 1.1 m and

(c) x = 2.0 m, y = 3.0 m.

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