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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Field and Potential

Three charges are placed at the vertices of an equilateral triangle as illustrated in the figure. Determine the dipole moment of the combination.

Options

  1. A2 qd , along the bisector of the angle at 2q , away from the triangle
  2. B3 qd , along the bisector of the angle at 2q , towards the triangle
  3. C3 qd , along the bisector of the angle at 2q , away from the triangle
  4. Dqd , along the bisector of the angle at 2q , towards the triangle

Correct answer

C. 3 qd , along the bisector of the angle at 2q , away from the triangle

Step-by-step solution

The system of charges can be considered as two electric dipoles by splitting the 2q charge into two +q charges. Let the vertices be A (top, -q ), B (bottom-left, 2q ), and C (bottom-right, -q ). The first dipole is formed by -q at A and +q at B . Its dipole moment p ₁ has magnitude qd and is directed from A to B . The second dipole is formed by -q at C and +q at B . Its dipole moment p ₂ has magnitude qd and is directed from C to B . The angle between the vectors p ₁ and p ₂ is 60^ , which is the interior angle of

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