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What is the potential energy of a dipole in unstable equilibrium in a uniform electric field?

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Question

What is the potential energy of a dipole in unstable equilibrium in a uniform electric field?

Options

  • U = pE/2

  • U = 0

  • U = -pE

  • U = +pE

MCQ
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Solution

In unstable equilibrium at θ = 180°, the dipole is anti-parallel to the field. The potential energy is U = -pE cos(180°) = -pE × (-1) = +pE, which is the maximum possible value. This high potential energy represents an unstable state.

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