Question

under static condition electric field inside a spherical conductor is Sigma surface charge density​

Answer 1

Field intensity inside spherical conductor:

• Since it is clearly mentioned that the object is a spherical conductor, we will consider it as an SPHERICAL SHELL.

• Now, $\sigma$ is the surface charge density on the shell.

Applying Gauss' Law:

$\displaystyle \oint \: \vec{E}. \vec{ds} = \frac{q_{e} }{ \epsilon_{0}}$

• $q_{e}$ is the enclosed charge.

• But in case of a shell, the enclosed charge inside the shell is zero (because there is no charge enclosed).

$\implies \displaystyle \oint \: E \times ds = \frac{0}{ \epsilon_{0}}$

$\implies \displaystyle \oint \: E \times ds = 0$

$\implies E = 0$

So, field intensity inside the conducting shell is zero.