An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density $σ_{0}$ . Choose the correct option from the following. [2025]

Question

Smart Achievers · Accepted Answer

(3)

Electric field due to sheet $E = \frac{σ}{2 ε_{0}}$ and torque on dipole $\vec{τ} = \vec{P} \times \vec{E}$ here $\vec{τ} = 0$ and $U = - \vec{P} \cdot \vec{E} \to$ should be minimum.

Solution

Q.
An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density $σ_{0}$ . Choose the correct option from the following. [2025]

1 Torque on dipole is zero and net force is directed away from the sheet.

2 Torque on dipole is zero and net force acts towards the sheet.

3 Potential energy of dipole is minimum and torque is zero.

4 Potential energy and torque both are maximum.

Ans.
(3)

Electric field due to sheet $E = \frac{σ}{2 ε_{0}}$ and torque on dipole $\vec{τ} = \vec{P} \times \vec{E}$ here $\vec{τ} = 0$ and $U = - \vec{P} \cdot \vec{E} \to$ should be minimum.

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