The dielectric constant for a metal is

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(B) The dielectric constant $K$ (or relative permittivity $\varepsilon_r$) is defined as the ratio of the permittivity of the medium $\varepsilon$ to

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Infinite

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(B) The dielectric constant $K$ (or relative permittivity $\varepsilon_r$) is defined as the ratio of the permittivity of the medium $\varepsilon$ to the permittivity of free space $\varepsilon_0$, i.e., $K = \frac{\varepsilon}{\varepsilon_0}$.For a metal, the electric field inside the material in an electrostatic condition is zero $(E_{in} = 0)$.Since the induced electric field exactly cancels the external electric field, the effective permittivity of a metal is considered to be infinite.Therefore, the dielectric constant for a metal is infinite.

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