Charge of uniform density (20 nC/m²) is distributed over a cylindrical surface (radius = 1.0 cm), and a second coaxial surface (radius = 3.0 cm) carries a uniform charge density of −12 nC/m². Determine the magnitude of the electric field at a point 2.0 cm from the symmetry axis of the two surfaces. A) 2.3 kN/C B) 1.1 kN/C C) 1.7 kN/C D) 3.4 kN/C E) 4.5 kN/C

Question

Quizplus · Accepted Answer

The electric field at a point 2.0 cm from the symmetry axis can be found using Gauss's law. The net charge enclosed by a Gaussian surface at this radius includes the charge from the inner cylinder but not the outer one. The electric field is directly proportional to the enclosed charge and inversely proportional to the radius squared. Given the charge densities and radii, the correct calculation leads to an electric field magnitude of 1.1 kN/C.

Charge of Uniform Density (20 NC/m2) Is Distributed Over a Cylindrical

Charge of Uniform Density (20 NC/m²) Is Distributed Over a Cylindrical