An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density ρ = 200 nC/m³. What is the electric field at r = 8.0 cm?

Question

Quizplus · Accepted Answer

The electric field outside a uniformly charged cylinder is given by E = (ρ * R^2) / (2 * ε₀ * r), where R is the radius of the cylinder, r is the distance from the axis, and ε₀ is the permittivity of free space. Substituting the given values, E = (200 * 10^-9 C/m^3 * (0.04 m)^2) / (2 * 8.85 * 10^-12 C^2/N·m^2 * 0.08 m) ≈ 0.23 kN/C.

An Infinitely Long Cylinder of Radius 4