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 ?

Find the capacitance of an isolated ball-shaped conductor of radius R_(1) surrounded by an adjacent concentric layer of dielectric with permittivity epsilon and outside radius R_(2) .

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 capacitance of two concentric spherical shells of radii R_(1) and R_(2) (R_(2) gt R_(1)) is

The capacitance of two concentric spherical shells of radii R_(1) and R_(2) (R_(2) gt R_(1)) is

The capacitance of a capacitor, filled with two dielectrics of same dimensions but of dielectric constants K_1 and K_2 respectively as shown will be -

Half the space between two concentricv elecrodes of a sphereical capacitor is filled , as shwon in Fig, with unifrom istropic dielectric with permittively epsilon . The charge of the capacitor is q . Find the magnitude of the electric field strength between teh electrodes as a function of distance r from the curvature centre of teh electrodes.

A parallel plate capacitor has capacitance C. If it is equally filled with parallel layers of materials of dielectrics K_1 and K_2 —

Two spheres of radii R_(1) and R_(1) respectively are charged and joined by wire. The ratio of electric field of spheres is