Two conductors of aribitary shape are embedded into an infinite homogenous poorly conducting medium with respectivity `rho` and permittivity `epsilon`. Find the value of a product `RG` for this system where `R` is the resistance of the medium between the conductors, and `C` is the mutual capacitance of the wires in the presence of the medium.

Two metal balls of the same radius a are located in a homongenous poorly conducting medium with resistivity rho . Find the resistance of the medium between the balls provided that the separation between them is mush greater than the radius of the ball.

Two metal balls of the same radius a are located in a homongenous poorly conducting medium with resistivity rho . Find the resistance of the medium between the balls provided that the separation between them is mush greater than the radius of the ball.

The space between two concentric metallic spheres is filled up with a unifrom poorly conducting medium of resistivity rho and permittivity epsilon . At what moment t = 0 the inside sphere obtains a certain charge. Find: (a) the relation between the vectros of displacement current density and conduction current density at an arbitarry point of the medium at the same moment of time, (b) the displacement current across an arbitrary closed surface wholly located in the medium and enclosing the internal sphere, if at the given moment of time the charge of that sphere is equal to q .

A conductor of orbitrary shape, carrying a charge q , is surrounded with uniform dielectric of permittivity epsilon (Fig). Find the total bound charges at the inner and outer surfaces of the dilectric.

The speed of an electromagnetic wave in a material medium of permeability mu and permittivity epsilon is

A metal ball of radius a is located at a distance l from an indinite ideally conducting plane. The space around the ball is filled with a homongeous poorly conducting medium with resistivity rho . In the case of a lt lt l find : (a) the current density at the conducting plane as a function of distance r from the ball if the potentail difference between the ball and the plane is equal to V , (b) the electric resistance of the medium between the balll and the plane.