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# The Dielectric constant of a metal is

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## Dielectric constant: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. 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.It is mathematically expressed as: $K=\epsilon }{{\epsilon }_{0}}$ where $K$ is the dielectric constant,$\epsilon$ is the permittivity of the substance, ${\epsilon }_{0}$ is the permittivity of the free space.At ambient conditions, the dielectric constant of liquid water is around $78.4$.The dielectric constant of air is $1.00059$.The dielectric constant of metals is infinite.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.

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