Question

The electric field inside a spherical shell of uniform surface charge density is____.

Answer 1

Gauss law:

1. Gauss Law states that the total electric flux ($\mathrm{E}$) out of a closed surface is equal to the charge ($\mathrm{q}$) enclosed divided by the permittivity(${\mathrm{\epsilon }}_0$) i.e. $\mathrm{E}=\frac{\mathrm{q}}{{\mathrm{\epsilon }}_0}$
2. The electric flux is the total number of electric field lines passing a given area in a unit of time.
3. All the charges are concentrated on the outside surface of the shell, and the electric field inside the shell is zero ($\mathrm{q}=0$).
4. So the according to gauss law, $\mathrm{E}=\frac{0}{{\mathrm{\epsilon }}_0}=0$.

Therefore, the electric field inside a spherical shell of uniform surface charge density is zero.