Question

The Dielectric constant of a metal is

Answer 1

Dielectric constant:

1. The dielectric constant of a substance may be defined as the ratio of the permittivity of the substance to the permittivity of the free space.
2. This is an expression of the extent to which a material can concentrate electric flux, and it is the electrical equivalent of relative magnetic permeability.
3. It is mathematically expressed as: $K=\raisebox{1ex}{$\epsilon $}\!\left/ \!\raisebox{-1ex}{${\epsilon }_0$}\right.$ where $K$ is the dielectric constant,$\epsilon$ is the permittivity of the substance, ${\epsilon }_0$ is the permittivity of the free space.
4. At ambient conditions, the dielectric constant of liquid water is around $78.4$.
5. The dielectric constant of air is $1.00059$.
6. The dielectric constant of metals is infinite.
7. The dielectric constant of metal is infinite as the net electric field inside the metal is zero.

Thus, The Dielectric constant of a metal is infinite.