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प्रश्न
Derive the expression for the torque acting on an electric dipole, when it is held in a uniform electric field. identify the orientation of the dipole in the electric field, in which it attains a stable equilibrium.
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उत्तर
Force acting on −q is −qE.
Force acting on +q is qE.
These two forces are equal and opposite to each other. Hence, a torque on the dipole is developed.
Torque = Force × perpendicular distance between the forces
Or, τ = qE × 2 a sin θ
Or, τ = (q × 2a) E sin θ
∴ τ = PE sin θ
Where P is the dipole moment.
Dipole will attain stable equilibrium when it is oriented along the direction of electric field.
संबंधित प्रश्न
Deduce the expression for the torque acting on a dipole of dipole moment `vecp` in the presence of a uniform electric field `vecE`
A short bar magnet of magnetic moment m = 0.32 J T–1 is placed in a uniform magnetic field of 0.15 T. If the bar is free to rotate in the plane of the field, which orientation would correspond to its
- stable, and
- unstable equilibrium?
What is the potential energy of the magnet in each case?
An electric dipole of dipole moment 2 × 10-8 C-m in a uniform electric field experiences a maximum torque of 6 × 10-4 N-m. The magnitude of the electric field is ______.
When an electric dipole is placed in a uniform electric field, what is the net force acting on the dipole?
Which equilibrium position of a dipole in a uniform electric field is stable?
What distinguishes the behavior of a dipole in a non-uniform electric field from its behavior in a uniform field?
What real-world phenomenon demonstrates the behavior of a dipole in a non-uniform electric field?
A dipole with moment p experiences a maximum torque of 4 × 10⁻²¹ N·m in a uniform electric field. What is the strength of the electric field?
When a dipole rotates from θ = 0° to θ = 90° in a uniform electric field, how does its potential energy change?
