Answer :

Given,


Charge density of the long-charged cylinder of length L and radius r is λ. Another same type of cylinder with radius R surrounded it.


Let E is the electric field produced in the space between the two cylinders.


Electric flux through a Gaussian surface is given by the Gaussian theorem as,


Φ = E(2πd)L


Where, d = distance of a point from common axis of the cylinders.


Let q be the total charge on the cylinder,


Φ = E(2πd)L =


Where, q = charge of the inner sphere of the outer cylinder


ϵ0 = permittivity of space


Thus,


E(2πd)L =



Hence, the electric field between cylinders,


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