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 thin nonconducting ring of radius R has a linear charge density lambda = lambda_(0) cos varphi , where lambda_(0) is a constant , phi is the azimutahl angle. Find the magnitude of the electric field strength (a) at the centre of the ring , (b) on the axis of the ring as a function of the distance x from its centre. Investegation the obtained function at x gt gt R .

A thin nonconducting ring of radius R has a linear charge density lambda = lambda_(0) cos varphi , where lambda_(0) is a constant , phi is the azimuthal angle. Find the magnitude of the electric field strength (a) at the centre of the ring , (b) on the axis of the ring as a function of the distance x from its centre. Investegation the obtained function at x gt gt R .

A ring of radius R carries a non - uniform charge of linear density lambda = lambda_(0)costheta sec in the figure) Magnitude of the net dipolement of the ring is :

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

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

A non conducting ring of radius R_(1) is charged such that the linear charge density is lambda_(1)cos^(2)theta where theta is the polar angle. If the radius is increased to R_(2) keeping the charge constant, the linear charge density is changed to lambda_(2)cos^(2)theta . The relation connecting R_(1) , R_(2)lambda_(1) and lambda_(2) will be