Question

A long charged cylinder of linear charge density \(\lambda\) is surrounded by a hollow coaxial conducting cylinder. The magnitude of electric field in the space between the two cylinders at a distance \(R\) from the common axis of the cylinders is

• A. \(\dfrac{\lambda}{4\pi\varepsilon_0R}\)
• B. \(0\)
• C. \(\dfrac{\lambda}{2\pi\varepsilon_0R}\)
• D. \(\dfrac{\lambda}{\pi\varepsilon_0R}\)

Hint:

For an infinitely long line charge, \[ \boxed{ E=\frac{\lambda}{2\pi\varepsilon_0r}. } \] The surrounding conducting cylinder does not alter the electric field in the empty region between the two cylinders; only the enclosed charge matters in Gauss' law.

Answer 1

The Correct Option is C