An electric dipole is placed at a distance x from centre O on the axis of a charged ring of radius R and charge Q uniformly distributed over it.
(a) Find the net force acting on the dipole
(b) What is the work done in rotating the dipole through `180^(@)`?
`[(a) (aqQ)/(2piepsilon_(0))((R^(2)-2x^(2))/((R^(2)+x^(2))^(3//2))), (b) (aqQx)/(piepsilon_(0)(R^(2)+x^(2))^(3//2))]`

As shown in the figure an electric dipole lies at a distance x from the centrr of a chargerd ring of radius R with charge Q uniformly distributed over it .The net force acting on the dipole is

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In figure-, an electric dipole is placed at a distance x from an infinitely long rod of linear charge density lambda . (a) Find the net force acting on the dipole (b) What is the work done in rotating the dipole through 180^(@) (c ) If the dipole is slightly rotated about its equilibrium position, find the time period of oscillation. Assume that the dipole is linearly restrained. [(a)(lambdaaq)/(piin_(0)x^(2)),(b) (2lambdaaq)/(piin_(0)x),(c ) 2pisqrt((2piin_(0)mx^(2)a)/(lambdaq))]

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The electric field at a distance (3R)/2 from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2 from the centre of the sphere is :