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Question

Question: Three thin insulating rods, each carrying uniform and same charge per unit length are joined togethe...

Three thin insulating rods, each carrying uniform and same charge per unit length are joined together to form a triangular frame. Net electric field at point P inside this frame is zero then :-

A

point P is incentre of triangular frame.

B

point P is circumcentre of triangular fra

C

point P is centroid of triangular frame.

D

point P is orthocentre of triangular frar

Answer

point P is incentre of triangular frame.

Explanation

Solution

The net electric field at point P is the vector sum of the electric fields produced by the three rods. For the net electric field to be zero, the point P must be the incenter of the triangular frame. This is because the electric field from each rod is perpendicular to the rod, and for the vector sum of these three perpendicular fields to be zero, P must be equidistant from all sides, which is the definition of the incenter.