In a long insulating cylinder of radius R a cylindrical tunnel of radius a located at a distance b from the axis of the cylinder as shown in the figure. R R b - The solid part of the cylinder has a uniform volume charge density P. Find the magnitude and direction of the electric field inside the tunnel.

A very long, solid insulating cylinder with radius R has a cylindrical hole with radius a bored along its entire length. The axis of the hole is at a distance b from the axis of the cylinder, where altbltR (as shown in figure). The solid material of the cylinder has a uniform volume charge density rho . Find the magnitude and direction of the electric field inside the hole, and show that this is uniform over the entire hole. .

A non-conducting sphere of radius R has a spherical cavity of radius R//2 as shown. The solid part of the sphere has a uniform volume charge density rho . Find the magnitude and direction of electric field at point (a) O and (b) A.

An infinity long cylinder of radius R has an infinitely long cylindrical cavity of radius (R)/(2) are shown in the figure. The remaining portion has uniform volume charge density rho . The magnitude of electrical field at the centre of the cavity is-

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 placed in a uniform electric field E parallel to the axis of the cylinder. The total flux over the curved surface of the cylinder is

What is moment of inertia of a solid cylinder of mass m , length l and radius r about the axis of the cylinder ?

A cylinder of radius r and length l is placed in an uniform electric field parallel to the axis of the cylinder. The total flux for the surface of the cylinder is given by-

Find the moment of inertia of a solid cylinder of mass M and radius R about a line parallel to the axis of the cylinder and on the surface of the cylinder.

Point P is at a distance of r(gtR) from the axis of the cylinder. The volume charge densilty and radius of this cylinder are n and r respectively What is the electric field at point P?