A solid sphere of radius has 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 sphere of radius RR has volume charge density ρ=ρ0r2\rho=\rho_0r^2, where ρ0\rho_0 is a constant and rr is the distance from the centre. At a distance xx from its centre, where x<Rx<R, the electric field is directly proportional to: (a) 1x2\frac{1}{x^2} (b) 1x\frac{1}{x} (c) x3x^3 (d) x2x^2

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