A long cylindrical non-conducting shell has inner radius and outer radius

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 long cylindrical non-conducting shell has inner radius a=2.0 cma = 2.0\,\text{cm} and outer radius b=5.0 cmb = 5.0\,\text{cm}. It carries a uniform volume charge density ρ=1.6×10−6 C m−3\rho = 1.6\times10^{-6}\,\text{C m}^{-3}. What is the magnitude of the electric field at a point situated r=3.0 cmr = 3.0\,\text{cm} from the axis (where a<r<ba < r < b)? (a) 3.0×103 N C−13.0\times10^{3}\,\text{N C}^{-1} (b) 1.5×104 N C−11.5\times10^{4}\,\text{N C}^{-1} (c) 6.3×103 N C−16.3\times10^{3}\,\text{N C}^{-1} (d) 3.0×104 N C−13.0\times10^{4}\,\text{N C}^{-1}

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