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NEET 2022 (Phase 2) · Electrostatic Potential Energy

Electrostatic Potential Energy question from NEET 2022 (Phase 2)

Q43NEET 2022 · PHASE 2Easy

Electrostatic Potential Energy

Six charges +q, −-q, +q, −-q, +q, and −- q are fixed at the corners of a hexagon of side d as shown in the figure. The work done in bringing a charge q0 to the centre of the hexagon from infinity is (ε0\varepsilon_0 - permittivity of free space)

Figure

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Answer: (b)

  1. All six charges are at distance dd from the centre.
  2. Vcentre=kd(q−q+q−q+q−q)=0V_{centre} = \dfrac{k}{d}(q - q + q - q + q - q) = 0
  3. W=q0(Vcentre−V∞)=0W = q_0(V_{centre} - V_\infty) = 0
  4. So the answer is (b) zero.
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