The charges 2q, -q, -q are located at the vertices of an equilateral triangle. At the circumcentre of the triangle (a) the field is zero but potential is not zero. (b) the field is non-zero but the potential is zero. (c) both, field and potential are zero. (d) both. field and potential are non-zero.

Answer: (b). Circumcentre is equidistant ( r) from all vertices. V = k/r(2q - q - q) = 0 Fields do not cancel: all components add along the line from the 2q vertex through the centre, E = 3kq/r² ≠ 0. So the answer is (b) the field is non-zero but the potential is zero.

The charges 2q, -q, -q are located at the vertices of an equilateral… | MHT CET 2023 (9 May, Shift 2)

Q62MHT CET 2023 · 9 MAY · SHIFT 2Medium

Electric Potential & Equipotentials

The charges $2q, -q, -q$ are located at the vertices of an equilateral triangle. At the circumcentre of the triangle

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Answer: (b)

Circumcentre is equidistant ( $r$ ) from all vertices.
$V = \dfrac{k}{r}(2q - q - q) = 0$
Fields do not cancel: all components add along the line from the $2q$ vertex through the centre, $E = 3kq/r^2 \neq 0$ .
So the answer is (b) the field is non-zero but the potential is zero.

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