The gap between the plates of a prallel-plate capacitor is filled up with two dielectric layers 1 and 2 thickness `d_(1)` and `d_(2)` permittivities `epsilon_(1)` and `epsilon_(2)` and resistivities `rho_(1)` and `rho_(2)`. A dc voltage `V` is applied to the capacitor with electric field directed from layer 1 to layer 2 find `sigma` the surface density of extraneous charges at the boundary between the dielectric layers and the condition under with `sigma = 0`.

The space between the plates of a parallel-plate capacitor is filled consecutively with two dielectric layers 1 and 2 having the thickness of d_(1) and d_(2) and the permittivities espilon_(1) and espilon_(2) respectively. The area of each plate is equal to S . Find :

The space between the plates of a parallel plate capacitor is filled conseutively with two dielectric layers fo thickness d_(1) and d_(2) having relative permittvities in_(1) and in_(2) respectively. If A is area of each plate, what is the capacity of the capacitor ?

If the gap between the plates of a parallel plate capacitor is filled with medium of dielectric constant k=2 , then the field between them

Deduce an expression for the capacitance of a parallel plate capacitor with a simple dielectric (of permittivity epsilon) .

The gap between the plates of a parallel-plate capacitor is filled with istropic dielectrc whose permittlvity epsilon varies linearly from espilon_(1) to epsilon_(2) (epsilon_(2) gt epsilon_(1)) in the direction perpendicular to the plates. The area of each plate equals S , the separation between the plates is equal to d . Find : (a) the capacitance of the capacitor, (b) the space density of the bound chagres as a function of a if the charge of the capacitor is q and E in it is directed toward the growing epsilon values.

A cylindrical capacitor is filled with two cyclindrical layers of dielectric with permittivity espilon_(1) and espilon_(2) . The inside radii of the layers are equal to R_(1) and R_(2) gt R_(1) . The maximum permissible values of electric field strength reaching teh breakdown value for both dielectrics simulttaneously ?