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JEE Main 2026 (24 Jan, Shift 1) · Electric Dipole

Electric Dipole question from JEE Main 2026 (24 Jan, Shift 1)

Q1JEE Main 2026 · 24 JAN · SHIFT 1Easy

Electric Dipole

Three charges +2q,+3q+2q, +3q and −4q-4q are situated at (0,−3a),(2a,0)(0, -3a), (2a, 0) and (−2a,0)(-2a, 0) respectively in the xyxy plane. The resultant dipole moment about origin is ______.

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Answer: (a)

  1. Dipole moment about origin: p⃗=∑qir⃗i\vec{p} = \sum q_i\vec{r}_i.
  2. 2q(−3aj^)=−6qaj^2q(-3a\hat{j}) = -6qa\hat{j}; 3q(2ai^)=6qai^3q(2a\hat{i}) = 6qa\hat{i}; −4q(−2ai^)=8qai^-4q(-2a\hat{i}) = 8qa\hat{i}
  3. p⃗=14qai^−6qaj^=2qa(7i^−3j^)\vec{p} = 14qa\hat{i} - 6qa\hat{j} = 2qa(7\hat{i} - 3\hat{j})
  4. So the answer is (a).
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