The third particle must be placed at the perpendicular bisector of the line joining the first two charges.
The field developed when a charge is moved. In this field, a charge experiences an electrostatic force of attraction or repulsion depending on the nature of charge.
Given, two point particles, with the same charge, are located at two vertices of an equilateral triangle. A third charged particle is placed so the electric field at the third vertex is zero.
The electric field must exert the net electrostatic force equal to zero.
For this, third charge should be placed at the perpendicular bisector of the line joining the first two charges.
Thus, the third particle must be placed at the perpendicular bisector of the line joining the first two charges.
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