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# A long charged cylinder of linear charge density k is surrounded by a hollow co-axial conducting cylinder. What is the electric field in the space between the two cylinders?

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A long charged cylinder of linear charge density k is surrounded by a hollow co-axial conducting cylinder. What is the electric field in the space between the two cylinders?

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1. Solution:
In Figure, A is a long charged cylinder of linear charge density k, length l and radius a. A hollow co-axial conducting cylinder B of of length l and radius b surrounds A. The charge q = kl spreads uniformly on the outer surface of A. It induces – q charge on the cylinder B, which spreads on the inner surface of B. An electric field E is produced in the space between the two cylinders, which is directed radially outwards. Let us consider a co-axial cylindrical Gaussian surface of radius r. The electric flux through the cylindrical Gaussian surface is The electric flux through the end faces of the cylindrical Gaussian surface is zero, as E is parallel to them. According to Gauss’s Check the complete chapter with solutions.

NCERT Solutions for 12th Class Physics: Chapter 2-Electrostatic Potential and Capacitance

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