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 = 4.1 cm?

Question

Quizplus · Accepted Answer

The electric field outside a uniformly charged cylinder can be calculated using Gauss's law. For r = 4.1 cm, which is outside the cylinder, the electric field is given by E = (ρ * R^2) / (2 * ε₀ * r), where ρ is the charge density, R is the radius of the cylinder, and r is the distance from the axis. Substituting the given values, the electric field is approximately 0.44 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