The two square faces of a rectangular dielectric slab dielectric constant 4.0) of dimensions 20 cm × 20 cm × 1.0 mm are metal-coated. Find the capacitance between the coated surfaces.

Given,

dielectric constant of slab = 4.0


Area of slab = 20 cm × 20 cm


Separation between slab, the thickness of the slab= 1.0 mm


We know capacitance is given by



Where


A= area of cross section


K = dielectric constant


d= separation between the slab and


0 = permittivity of free space = 8.85×10-12


Hence, capacitance is given by-




1