MHT CET 2023 Physics question

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

(A)the field is zero but potential is not zero
(B)the field is non-zero but the potential is zeroCorrect
(C)both, field and potential are zero
(D)both, field and potential are non-zero

Answer: (B)

Solution

Take the point at the centre of the triangle, at distance from each vertex. Potential is a scalar: . Field is a vector: the fields due to the two charges are each , directed towards those charges, 120° apart; their resultant has magnitude

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Question ID VK-094514