An electric dipole of length 2 {\cm}, when placed with its axis making an angle of 60^{\circ} with a uniform electric field, experiences a torque of 8 \sqrt{3} {\Nm}. Calculate the potential energy of the dipole, if it has a charge of \pm 4 {\nC}.

CBSE Class 12 Physics 2014 Delhi Set 2 Paper

Question : 3

Total: 8

An electric dipole of length 2‌cm, when placed with its axis making an angle of 60∘ with a uniform electric field, experiences a torque of 8√3‌Nm. Calculate the potential energy of the dipole, if it has a charge of ±4‌nC.

Solution:

τ‌=pEsin‌θ
8√3‌=pEsin‌θ
pE‌

√3

‌=8√3
So, pE=16
Potential energy of the dipole
‌=−pE‌cos‌θ
U‌=−pE‌cos‌60
U‌=−16×0.5
U‌=−8J

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