Show that for a dielectric slab completely filling the region between the plates of a…

PHYSICS · Subjective · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Show that for a dielectric slab completely filling the region between the plates of a parallel-plate capacitor, the bound surface charge density

\sigma_b

is related to the free surface charge density

\sigma_f

\sigma_b = \sigma_f\left(1 - \dfrac{1}{\kappa}\right)

, where

\kappa

is the dielectric constant of the material.