What is the relation between torque and electric dipole moment?

τ = (q E sinθ) d = q d E sinθ Since ‘qd’ is the magnitude of dipole moment (p), and the direction of dipole moment is from positive to negative charge; torque is the cross product of dipole moment and electric field.

How does a torque affect in electric dipole?

How does a torque affect the dipole in an electric field? The torque tends to align the dipole in the direction of the electric field.

What is the condition of stable equilibrium and unstable equilibrium of an electric dipole when it is placed in an uniform electric field?

Therefore the stable equilibrium the torque should be zero and the potential energy of the dipole should be minimum. Whereas the unstable equilibrium torque will be zero and the potential energy should be maximum or positive.

What is the torque acting on the dipole in stable equilibrium?

Zero
A dipole is said to be in stable equilibrium when angle between electric field and dipole moment is (a) Zero (b) 180 degree (c) 45 degree (d) 90 degree. The moment of the dipole is directed between -ve charge and + charge. Net force and torque on the system should be zero in equilibrium.

What is the relation between torque and electric field?

F−⊥=−qEsinθ. And the direction of the dipole moment is from the positive to the negative charge, it can see from the above equation that the torque is the cross product of the dipole moment and electric field.

What is the net force and torque on a dipole when it is placed in a uniform electric field?

On placing the electric dipole to a uniform electric field, only torque will act because net force is equal to zero.

On which condition does the torque acting on electric dipole is maximum?

Solution : When electric dipole is placed perpendicular to the direction of electric field, then torque acting on it will be maximum.

What is stable and unstable equilibrium find the value of torque in each case?

Note: Stable equilibrium means the lowest potential energy at the equilibrium point. Therefore the stable equilibrium the torque should be zero and the potential energy of the dipole should be minimum. Whereas the unstable equilibrium torque will be zero and the potential energy should be maximum or positive.

What is the condition for dipole to be in stable equilibrium unstable equilibrium?

(2)When the dipole is aligned anti-parallel to the electric field (i.e. the angle between dipole moment and the electric field is 180o), then the dipole is in unstable equilibrium.

What is equilibrium position of dipole in an electric field?

A dipole in an electric field will be in equilibrium when the torque on the dipole will be zero.

What is the net force on the electric dipole?

The net force acting on a dipole placed in a uniform electric field is zero. The forces on the two charges constituting the dipole are equal and opposite. Hence, the net force is zero.

When the torque experienced by an electric dipole is maximum and minimum?

Case(I)→ If the dipole is placed perpendicular to the electric field i.e. θ=90∘, the torque acting on it will be maximum. i.e. Case(II)→ If the dipole is placed parallel to the electric field i.e. θ=0∘ or θ=180∘, the torque acting on it will be minimum.