The axis of a long hollow metallic cylinder (inner radius = 1.0 cm,outer radius = 2.0 cm)coincides with a long wire.The wire has a linear charge density of -8.0 pC/m,and the cylinder has a net charge per unit length of -4.0 pC/m.Determine the magnitude of the electric field 3.0 cm from the axis.
A)5.4 N/C
B)7.2 N/C
C)4.3 N/C
D)3.6 N/C
E)2.4 N/C

Question

Quizplus · Accepted Answer

The electric field at a distance of 3.0 cm from the axis can be found using Gauss's law. The net charge per unit length is the sum of the linear charge density of the wire and the cylinder. The electric field is calculated using the formula E = λ / (2πε₀r), where λ is the net charge per unit length, ε₀ is the permittivity of free space, and r is the distance from the axis.

The Axis of a Long Hollow Metallic Cylinder (Inner Radius