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Define dielectric constant of a medium. What is the value of dielectric constant for a metal?

Answer
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Hint: The relative permittivity, or dielectric constant, of a cloth is its permittivity expressed as a ratio relative to the vacuum permittivity. Permittivity may be a material's property that affects the Coulomb force between two point charges within the material.

Complete answer:
The dielectric constant of a medium is defined on the ratio of permittivity of medium to the permittivity of free space. The dielectric constant is additionally called the relative permittivity of the medium. The value of dielectric constant for a metal is infinity.The Dielectric constant (K) of the medium is the ratio of the permittivity of the substance to permittivity of the free space.

As Permittivity of medium and permittivity of free space both have same units ( Farad/meter) dielectric constant becomes dimensionless quantity.The dielectric constant of metals is infinite. The dielectric constant of metal is infinite because the net field inside the metal is zero. The dielectric constant is defined because of the ratio of the permittivity of a substance to the permittivity of free space. Dielectric strength is measured because the maximum voltage required to supply a dielectric breakdown through a cloth.

Note: The dielectric constant of a metal is infinite. The electric field inside a conductor is zero therefore the dielectric constant, which is that the ratio of applied field to the reduced electric field, is going to be infinite for a metallic conductor.