Question

The space between the plates of a parallel-plate capacitor is filled consecutively with two dielectric layers 1 and 2 having the thicknesses d1 and d2 and the permittivities ε1 and ε2 respectively. The area of each plate is equal to *. Find:

(a) the capacitance of the capacitor;

(b) the density σ' of the bound charges on the boundary plane if the voltage across the capacitor equals V and the electric field is directed from layer 1 to layer 2.

Answer 1

(a) As it is series combination of two capacitors,

(b) Let, σ be the initial surface charge density, then density of bound charge on the boundary plane.