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MHT CET 2026 (20 Apr, Shift 1) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from MHT CET 2026 (20 Apr, Shift 1)

Q9MHT CET 2026 · 20 APR · SHIFT 1Medium

Electric Potential & Equipotentials

Four electric charges +q,+q,−q+q, +q, -q, and −q-q are placed in order at the corners of a square of side '2r2r'. The electric potential at a point midway between the two negative charges is

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Answer: (a)

  1. Midpoint P of the side joining the two −q-q: distance rr to each −q-q.
  2. Distance to each +q+q: (2r)2+r2=5 r\sqrt{(2r)^2 + r^2} = \sqrt5\,r.
  3. V=k[−2qr+2q5 r]V = k\left[-\dfrac{2q}{r} + \dfrac{2q}{\sqrt5\,r}\right]
  4. V=14πϵ02qr[15−1]V = \dfrac{1}{4\pi\epsilon_0}\dfrac{2q}{r}\left[\dfrac{1}{\sqrt5} - 1\right]
  5. So the answer is (a).
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