A nonconducting sphere 1.8 m in diameter with its center on the x axis at x = 4 m carries a uniform volume charge of density ρ = 4.6 µC/m3. Surrounding the sphere is a spherical shell with a diameter of 3.6 m and a uniform surface charge density σ = -1.5 µC/m2. Calculate the magnitude and direction of the electric field at the following locations.
(a) x = 4.8 m, y = 0
____N/C î + ____N/C ĵ
(b) x = 4 m, y = 1.7 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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