Why is the static dielectric constant of some materials larger than their optical dielectric constant? How doesvdielectric constant vary with frequency?

Q4

The infinitesimal external work required to increase the overall dipole moment of a uniformly polarised dielectric substance from p to p + dp in an electric field E is SW = Edp. -SdT - pdE. i. Show that the Gibbs free energy is given by dG Establish the Maxwell relation: ii. as JE T The polarisation per unit volume of a dielectric substance is given by: € E T where €0 р = and C are constants and V is the (constant) volume of the system. E iii. Using a suitable Maxwell relation and the equation of state show that: მU JE T = 0

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