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Electric Dipole

Hardphysics

An electric dipole of moment (\vec{p}) is placed in a non-uniform electric field. Which statement correctly describes the net force and torque acting on the dipole?

Select the correct option:

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About This Question

Subject
physics
Chapter
electrostatics
Topic
electric dipole
Difficulty
Hard
Year
2025
Tags
dipole in non-uniform fieldtorque on dipolenet force on dipolefield gradientdipole dynamics

Solution

Correct Answer:

Both net force and torque may be non-zero

The behavior of a dipole in an electric field depends on whether the field is uniform or non-uniform. In a uniform field, the forces on the (+q) and (-q) charges are equal and opposite, giving zero net force, but they create a couple (torque) given by (\tau = pE\sin\theta). In a non-uniform field, the forces on (+q) and (-q) are different in magnitude because they experience different field strengths at their respective locations. This produces a net translational force (F = p \frac{dE}{dx}) along the field gradient direction. Simultaneously, since the forces are not collinear in general, there is also a torque about the dipole centre. Therefore, in a non-uniform field, both net force and torque can simultaneously be non-zero. Option 'Both zero' is incorrect because even a uniform field produces torque on a non-aligned dipole. Option 'Zero force, non-zero torque' describes a uniform field situation, not a non-uniform one. Option 'Non-zero force, zero torque' is incorrect because torque can exist whenever (\vec{p}) is not aligned with the local field. This is a JEE Advanced conceptual question on dipole dynamics. Plausibility check: the gradient force on a dipole is the basis of molecular attraction in non-uniform fields, confirming both effects can coexist.

This hard difficulty physics question is from the chapter electrostatics, covering the topic of electric dipole. It appeared in the 2025 exam.

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