A long nonconducting cylinder (radius = 6.0 mm) has a nonuniform volume charge density given by αr2, where α = 6.2 mC/m5 and r is the distance from the axis of the cylinder. What is the magnitude of the electric field at a point 2.0 mm from the axis?

Question

Quizplus · Accepted Answer

Using Gauss's law, the electric field inside a nonconducting cylinder with a nonuniform charge density can be calculated. The charge enclosed by a Gaussian surface of radius 2.0 mm is integrated over the volume, and then the electric field is found using E = (1/ε₀) * (charge enclosed/area of the Gaussian surface). The calculation yields approximately 1.4 N/C.

A Long Nonconducting Cylinder (Radius = 6