Electrostatic Potential and Capacitance · Class 12 · CBSE · Science Physics

An electric dipole of dipole moment P is placed in a uniform electric field E with its axis making an angle of 60^{circ} with the field. The potentia…

Practice question from Electrostatic Potential and Capacitance (Class 12 · CBSE · Science Physics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-8B62A6

An electric dipole of dipole moment PP is placed in a uniform electric field EE with its axis making an angle of 60∘60^{\circ} with the field. The potential energy of the dipole is:

  1. A.−32PE-\frac{\sqrt{3}}{2}PE
  2. B.−PE2-\frac{PE}{2}Correct answer
  3. C.PE2\frac{PE}{2}
  4. D.−PE-PE

Solution

The potential energy UU of an electric dipole in a uniform electric field is given by U=−P⋅E=−PEcos⁡θU = -P \cdot E = -PE \cos\theta. Here, θ=60∘\theta = 60^{\circ}. Thus, U=−PEcos⁡(60∘)=−PE(12)=−PE2U = -PE \cos(60^{\circ}) = -PE \left(\frac{1}{2}\right) = -\frac{PE}{2}.

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