Three charges 2q, -q and -q are located at the vertices of an equilateral triangle. At the centre of the triangle (a) the field is zero but potential is non-zero. (b) the field is non-zero but potential is zero. (c) both field and potential are zero. (d) both field and potential are non-zero.

Answer: (b). Each charge is at the same distance r from the centre. V = k/r(2q - q - q) = 0 Field of 2q points away from its vertex; fields of both -q point towards their vertices and their resultant also points away from the 2q vertex, so they add: E ≠ 0. So the answer is (b) the field is non-zero but potential is zero.

Three charges 2q, -q and -q are located at the vertices of an… | MHT CET 2024 (3 May, Shift 1)

Q50MHT CET 2024 · 3 MAY · SHIFT 1Medium

Electric Potential & Equipotentials

Three charges $2q, -q$ and $-q$ are located at the vertices of an equilateral triangle. At the centre of the triangle

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Answer: (b)

Each charge is at the same distance $r$ from the centre.
$V = \dfrac{k}{r}(2q - q - q) = 0$
Field of $2q$ points away from its vertex; fields of both $-q$ point towards their vertices and their resultant also points away from the $2q$ vertex, so they add: $E \neq 0$ .
So the answer is (b) the field is non-zero but potential is zero.

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