A long non-conducting cylinder (radius = 12 cm) has a charge of uniform density (5.0 nC/m3) distributed throughout its column.Determine the magnitude of the electric field 5.0 cm from the axis of the cylinder.

Question

Quizplus · Accepted Answer

The electric field inside a uniformly charged non-conducting cylinder is given by Gauss's law: E = (ρ * r) / (2 * ε₀), where ρ is the charge density, r is the distance from the axis, and ε₀ is the permittivity of free space. Substituting the given values, E = (5.0 x 10^-9 C/m³ * 0.05 m) / (2 * 8.85 x 10^-12 C²/N·m²) ≈ 14 N/C.

A Long Non-Conducting Cylinder (Radius = 12 Cm) Has a Charge