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A nonconducting sphere 1.6 m in diameter with its center on the x axis at x...

A nonconducting sphere 1.6 m in diameter with its center on the x axis at x = 4 m carries a uniform volume charge of density ρ = 5.4 µC/m3. Surrounding the sphere is a spherical shell with a diameter of 3.2 m and a uniform surface charge density σ = -2 µC/m2. Calculate the magnitude and direction of the electric field at the following locations.

(a) x = 4.7 m, y = 0
N/C î +  N/C ĵ

(b) x = 4 m, y = 1.5 m
N/C î +  N/C ĵ

(c) x = 2.0 m, y = 3.0 m
N/C î +  N/C ĵ

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