A capacitor filled with dielectric of permittivity `epsilon = 2.1` losses half the charge acquired during a time interval `tau = 3.0 min`. Assuming the charge to leak only thorugh the dielectric filler, calculate its resistivity.

A parallel plate capacitor filled with a dielectric of relative permittivity 5 between its plates is charged to acquire an energy E and isolated. If the dielectric is replaced by another of relative permittivity 2, its energy becomes

A point charge q = 3.0 m,uC is located at the centre of a spherical layer of uniform isotropic dielectric with permittivity epsilon = 3.0 . The inside radius of the layer is equal to a = 250 mm , the outside radius is b = 500 mm . Find the electrostatic energy inside the dielectric layer.

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 is filled by a dielectric whose relative permittivity varies with the applied voltage (U) as epsilon = alpha U where alpha = 2V^(-1) . A similar capacitor with no dielectric is charged to U_(0) = 78V . It is then is connected to the uncharged capacitor with the dielectric. Find the final voltage on the capacitors.

A parallel plate capacitor is filled by a dielectric whose relative permittivity varies with the applied voltage (U) as epsilon = alpha U where alpha = 2V^(-1) . A similar capacitor with no dielectric is charged to U_(0) = 78V . It is then is connected to the uncharged capacitor with the dielectric. Find the final voltage on the capacitors.

A dielectric of relative permittivity 3 fills up only three fourth of the space between the plates of a charged parallel plate capacitor. Calculate the percentage of energy stored in the dielectric.

A parallel-plate capacitor is filled with a delectric meterial having resistivity (rho) and dielectric constant K.The capcitor is charged and disconnected from the charging source. The capacitor is slowly discharged through the dielectric.Show that the time constant of the discharge is independent of all gepmetrical parameters like the plate area or separation between the plates. Find this time constant.

A parallel-plate capacitor is filled with a delectric meterial having resistivity (rho) and dielectric constant K.The capcitor is charged and disconnected from the charging source. The capacitor is slowly discharged through the dielectric.Show that the time constant of the discharge is independent of all gepmetrical parameters like the plate area or separation between the plates. Find this time constant.