Find the electric field at the axial position of Circular ring at a distance \(z\) from the centre of the ring.The charge distribution varies as \(\lambda = \lambda _0 \cos\theta\) where theta is the angle made by radius vector of Ring with positive \(x\)-axis

**Details and Assumptions**:

Take \(z=\sqrt 3 \text{ m}\)

Radius of ring \(R=1 \text{ m}\)

\(\lambda _0 = 2\)

Find the absolute value of your answer.

Ring's axis lies on \(z\)-axis and center lies at origin.

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