Question

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

Answer 1

Steps and Understanding :
1) We will find Electric Potential by writing V = K(q) / d
where q is charge contained in ring.
d - distance of charge from point .
k = 1/4π£°
where £° is permitivity in vacuum.

2) We will find Electric Field by
E = -dV/dx

3) In diagram in pic, x is distance from centre of ring to that point.

For Calculation see pic.