**Electric field due to uniformly charged thin shell—**

If point lies outside the shell.

Let us consider a thin spherical shell of radius “r”. Its surface charge density “σ”. Its charge distribution is uniform. By def^{n} of surface charge density

Eq^{n} 4 is general eq^{n} for electric field due to uniformly charged thin shell. If point P lies outside the shell

**Case-II** If point P lies on the surface of shell.

In this case radius of original shell and Gaussian sphere are equal

Eq^{n} 5 is general expression for electric field when point is on the surface of shell.

**Case-III.** If point lies inside the uniformy chared shell.

According to Gauss Law

ϕ = q/ε_{0} ...(6)

Where q is enclosed surface charge but Gaussian surface enclose no charge.

q = 0 ....(7)

ϕ = 0/ε_{0 }= 0 ε = 0 ....(8)

Inside the thin spherical shell electric field is zero.