A solid cylinder of length l and cross-sectional area A is made of a material whose resistivity depends on the distance r from the axis of the cylinder as `rho = k//r^(2)` where k is constant . The resistance of the cylinder is -

A long round conductor of cross-sectional area S is made of material whose resistivity depends only on a distance r from the axis of the conductor as rho=alpha//r^(2) , where alpha is a constant. Find the total resistance per unit length of the rod when potential difference is applied across its length.

A long cylindrical conductor of cross-sectional area A and radius a is made of material whose resistivity depends only on a distance r from the axis of conductor, given by rho = c/r^(2) , where c is a constant. Find the resistance per unit length of the conductor and the electric field strength due to which a current I flows in it.

The cross section of a cylindrical conductor is A. The resistivity of the material of the cylinder depends only on distance r from the axis of the conductor as rho=k/r^2 where k is a constant. Find the resistance per unit length of such a conductor.

A cylinder of length L has a charge of magnitude q. The electric intensity at a point at a distance r from the axis of the cylinder is

A cylinder of radius R and length l is made uo of a substnace whose thermal conductivity K varies with the distance x from the axis as K=K_(1)x+K_(2) Detemine the effective thermal conductivity between the flat faces of the cylinder .