Department of Physics, Bennett University Tutorial Set-1 1. A charge Q is distributed uniformly over a ring of radius R centered at the point C. Find the electric field at a point P lying along the axis of the ring and at a distance a from the point C. 2. A charge Q is distributed uniformly on the surface of a circular disc of radius R. Calculate the electric field along the axis of the disc at a distance from the center of the disc. 3. A positive charge Q = 10 mC is placed at the center of a cavity formed inside a spherical conducting shell having an inner radius R and outer radius R. (a) Obtain the total charges induced at the inner and outer surfaces of the shell. (b) Will the charge be distributed uniformly or non uniformly on the the inner and outer surfaces? (c) How would your answer change if the point charge is not placed at the center of the cavity? 4. Consider a spherical shell formed by two concentric spheres of radii R and R (R > R) and having a uniform volume charge density of p. There is no charge anywhere else. Using Gauss' law obtain the electric field produced by the charge distribution everywhere. Also, evaluate V.E everywhere.