A uniform semicircular ring of radius R is in yz plane with its centre at the origin. The half ring carries a uniform linear charge density of `lamda`.

(a) Find the x, y and z component of Electric field at a point P(x, 0, 0) on the axis of the ring. (b) Prove that the field at P is directed along a line joining the centre of mass of the half ring to the point P.

Answer

(a) `E_(x)=(KlamdaRpi*x)/((R^(2)+x^(2))^(3//2))`
(b). `E_y=0`
(c). `E_(z)=-(2KlamdaR^(2))/((R^(2)+x^(2))^(3//2))`