A homegoneous poorly condcuting medium of resistivity `rho` fills up space between two thin coaxial ideally conducting cylinder is `l`. The radii of the cylinders are equal to `a` and `b` with `a lt b`, the length of each cylinder is `l`. Neglecting the edge effects , find the resistance of the medium between the cylinders.

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.

A conductor having resistivity rho is bent in the shape of a half cylinder as shown in the figure. The inner and outer radii of the cylinder are a and b respectively and the height of the cylinder is h . A potential difference is applied across the two rectangular faces of the conductor. Calculate the resistance offered by the conductor.

Find the self inductance of a unit length of a cable consisting of two thin walled coaxial metallic cylinders if the radius of the outside cylinder is eta (eta gt 1) times that of the inside one. The permeability of the medium between the cylinders is assumed to be equal to unity.

Under standard conditions helium fills up the space between two long coaxial cylinders. The mean radius of the cylinders is equal to R , the gap between them is equal to Delta R , with Delta R lt lt R . The outer cylinder rotates with a fairly low angular velocity omega about the stationary inner cylinder. Down to what magnitude should the helium pressure be lowered (keeping the temperature constant) to decrease the sought moment of friction forces n = 10 times if Delta R = 6 mm ?

A cylinder of length L and radius b has its axis coincident with x-axis. The electric field in this region is vecE = 200hati . Find the flux through the left end of the cylinder.

A cylinder of length L and radius b has its axis coincident with x-axis. The electric field in this region is vecE = 200hati . Find the flux through the left end of the cylinder.

Figure shown a section through two long thin concentric cylinders of radii a & b with a gt b . The cylinders have equal and opposite per unit length lambda . Find the electric field at a distance r from the axis for (i) r lt a (ii) a lt r lt b (iii) r gt b

Figure shown a section through two long thin concentric cylinders of radii a & b with a gt b . The cylinders have equal and opposite per unit length lambda . Find the electric field at a distance r from the axis for (i) r lt a (ii) a lt r lt b (iii) r gt b