An electric dipole of length 2 cm is placed with its axis making an angle of 30 ° to a uniform electric field 10 5 N C - 1 . If it experiences a torque of 10 3 N m , then potential energy of dipole is

Question

An electric dipole of length 2 cm is placed with its axis making an angle of 30 ° to a uniform electric field 10 5 N C - 1 . If it experiences a torque of 10 3 N m , then potential energy of dipole is, - 10 J, - 20 J, - 30 J, - 40 J

MARKS App · Accepted Answer

We know that τ = pEsin ⁡ θ ⇒ τ = pEsin ⁡ 30 ⇒ 10 3 = pE 2 ⇒ pE = 20 3 Potential energy, U = - pEcos ⁡ 30 ° ∴ Potential energy U = - 20 3 × 3 2 = - 10 × 3 = - 30 J

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