Q.

Two uniformly charged semi circular rings of radius R and linear charge density λ,  are placed in y-z and x-z plane as shown. Electric field intensity at point P is λnε0R.  Where point P is intersection point of axis of both rings and at distance R from center of both rings. Find value of n.

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answer is 8.

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Detailed Solution

At P, the axial component of electric field of both half rings will be at  90° and components   to the axis will cancel each other, being at  180°
  Enet=E2
Where E is field due to one half ring.
 =[kλ(πR)(R2+R2)3/2.R]2

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