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A nonconducting sphere 1.3 m in diameter with its center on the x axis at x...

A nonconducting sphere 1.3 m in diameter with its center on the x axis at x = 4 m carries a uniform volume charge of density ρ = 4.9 µC/m3. Surrounding the sphere is a spherical shell with a diameter of 2.6 m and a uniform surface charge density σ = -0.9 µC/m2. Calculate the magnitude and direction of the electric field at the following locations.

(a) x = 4.6 m, y = 0
  N/C î +   N/C ĵ

(b) x = 4 m, y = 1.2 m
N/C î + N/C ĵ

(c) x = 2.0 m, y = 4.0 m
N/C î + N/C ĵ

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