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An electric dipole is placed in a uniform electric field. The resultant force acting on it

Asked in GSEB Board July 2016 · Torque, energy and work done

Answer: (2) is always zero

Step-by-step solution

Idea: a dipole is a charge +q and a charge -q a small distance apart; in a uniform field both sit in the same ⃗E.

Force on +q: +q⃗E. Force on -q: -q⃗E.

Net force: ⃗F=q⃗E-q⃗E=0, whatever the orientation or the size of the dipole.

The two forces act at different points, so they form a couple: the dipole feels a torque τ=pE sin θ but no net force.

So the resultant force on a dipole in a uniform field is always zero.

Why the other options are wrong

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