A solid non-conducting sphere of radius carries a uniform volume charge density

PHYSICS · Single correct · AP · Physics C: Electricity and Magnetism · Electric Charges Fields and Gauss's Law · Electric Charges Fields and Gauss's Law

Problem

A solid non-conducting sphere of radius R=0.20 mR = 0.20\,\text{m} carries a uniform volume charge density ρ=5.0×10−8 C m−3\rho = 5.0\times10^{-8}\,\text{C m}^{-3}. Determine the magnitude of the electric field at a point located 0.10 m from the centre of the sphere. (a) 3.8×102 N C−13.8\times10^{2}\,\text{N C}^{-1} (b) 5.7×102 N C−15.7\times10^{2}\,\text{N C}^{-1} (c) 1.9×102 N C−11.9\times10^{2}\,\text{N C}^{-1} (d) 1.9×103 N C−11.9\times10^{3}\,\text{N C}^{-1}

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