MHT CET 2024 Physics question

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 are zeroCorrect
(C)Both field and potential are zero
(D)Both field and potential are non-zero

Answer: (B)

Solution

Let each vertex be at distance from the centre. Potential is a scalar: . Field is a vector. Let be unit vectors from the centre towards the vertices holding , , ; they are apart so . The

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Question ID VK-093010