An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density $\rho$ = 200 nC/m³.What is the electric field at r = 8.0 cm? A)0.23 kN/C B)0.11 kN/C C)57 N/C D)0.44 kN/C E)zero

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The electric field outside an infinitely long charged cylinder is given by E = (ρ * R^2) / (2 * ε₀ * r), where ρ is the charge density, R is the radius of the cylinder, ε₀ is the permittivity of free space, and r is the distance from the axis. 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 ρ\rhoρ = 200 NC/m3

An Infinitely Long Cylinder of Radius 4 $\rho$ = 200 NC/m³