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MHT CET 2024 (10 May, Shift 1) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from MHT CET 2024 (10 May, Shift 1)

Q49MHT CET 2024 · 10 MAY · SHIFT 1Medium

Electric Potential & Equipotentials

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

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Answer: (b)

  1. Midpoint of the +q,+q+q,+q side: distance LL to each +q+q, 4L2+L2=5 L\sqrt{4L^2 + L^2} = \sqrt5\,L to each −q-q.
  2. V=k[2qL−2q5 L]V = k\left[\dfrac{2q}{L} - \dfrac{2q}{\sqrt5\,L}\right]
  3. V=14πε02qL(1−15)V = \dfrac{1}{4\pi\varepsilon_0}\dfrac{2q}{L}\left(1 - \dfrac{1}{\sqrt5}\right)
  4. So the answer is (b).
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