Ncert Exercises & Solutions

Question 2.17:

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

The charge density of the long charged cylinder of length L and radius r is Another cylinder of the same length surrounds the previous cylinder. The radius of this cylinder is R.

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

The electric flux through the Gaussian surface is given by Gauss's theorem as,

ϕ = E (2 πd) L

Where d = Distance of a point from the common axis of the cylinders Let q be the total charge on the cylinder.

It can be written as

ϕ = E (2 πdL) = \frac{q}{ε_{0}}

Where, q Charge on the inner sphere Of the outer cylinder

ε_{0}

= permittivity of free space

\begin{array}{l} E (2 πdL) = \frac{λL}{ϵ_{0}} \\ E = \frac{λ}{2 {πϵ}_{0} d} \end{array}

Therefore, the electric field in the space between the two cylinders is

\frac{λ}{2 {πϵ}_{0} d}

NEET Information

courses

Company

Botany Questions

Chemistry Questions

Physics Questions

Zoology Questions