A line inside a cylindrical shell. The axis of a long hollow metallic cylinder (

Question

A line inside a cylindrical shell. 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 filed 3.0 cm from the axis. (A) 7.2 N/C (B) 4.3 N/C (C) 3.6 N/C (D) 2.4 N/C A uniformly charged cylindrical shell. Charge of uniform density (3.54 nC/m^3) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.0 cm and 3.0 cm. Determine the magnitude of the electric field at a point which is 8.0 cm from the symmetry axis. (A) 1 N/C (B) 2 NIC (C) 3 N/C (D) 4 N/C

Explanation / Answer

1) Here E = 2 k lambda enclosed /r

= 2*9e9 *|(-8e-12 + 4e-12)| /0.03

= 2.4 N/C answer

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