Hello Niketan,
Dielectric c onstant is proportional to the ratio of polarization density (P) and electric field (E) which means dielectric constant is inversely proportional to electric field. The Electric field (E) inside a conductor is always zero under the static situation so the dielectric constant for the conductors is infinite. Dielectric constant is the ratio of permittivity of a medium to the permittivity of free space.
I hope your question has been answered properly.
All the best!
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