A half ring of radius `r` has a linear charge density `lambda`.The potential at the centre of the half ring is

A thin non-conducting ring of radius R has a linear charge density lambda=lambda_(0) cos theta , where theta is measured as shown. The total electric dipole moment of the charge distribution is

A quarter ring of radius R is having uniform charge density lambda . Find the electric field and potential at the centre of the ring.

A ring of radius R having a linear charge density lambda moves towards a solid imaginary sphere of radius (R)/(2) , so that the centre of ring passes through the centre of sphere. The axis of the ring is perpendicular to the line joining the centres of the ring and the sphere. The maximum flux through the sphere in this process is

A charge Q is distributed uniformly on a ring of radius R as shown in the following diagrams. Find the electric potential at the centre O of the ring

A charge +q is distributed over a thin ring of radius r with line charge density lambda=qsin^2 theta//(pir) . Note that the ring is in the x-y plane and theta is the angle made by vecr with the x axis. The work done by the electric force in displacing a point charge +Q from the center of the ring to infinity is

A charge Q is distributed uniformly on a ring of radius R as shown in the following diagrams. Find the electric potential at the center O of the ring. (a)

Find the electric field due to an infinitely long cylindrical charge distribution of radius R and having linear charge density lambda at a distance half of the radius from its axis.

Consider a circular ring of radius r, uniformly charged with linear charge density lambda . Find the electric potential aty a point on the exis at a distance x from the centre of the ring. Using this expression for the potential, find the electric field at this point.