# Electric field inside a charged conductor

Last updated on August 28th, 2023 at 04:11 am

In this post, we will find the nature of the electric field inside a charged conductor. We will show that the electric field inside a charged conductor is zero.

Also, read how to show that the electric potential inside a charged conductor is constant.

**Electric field inside a charged conductor**

When a conductor is charged, all charges will move onto the surface of the conductor, and **there will be no charge inside the conductor**.

Now, if we use Gauss’ theorem, then we can easily find the electric field value inside the charged conductor.

As per **Gauss’ theorem**, EA = Q/ε_{0}, where E is the electric field intensity, A = area of the closed surface that encloses the charge, and Q is the charge enclosed by the closed surface.

[Here, electric field lines are taken as perpendicular to the surface.]

Now, as inside the conductor Q = 0,

We can write, EA = 0.

As the area can’t be zero here, so certainly, E = 0.

**Thus, using Gauss’ theorem we can easily show that the electric field inside a charged conductor is zero.**