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What will be the force and the torque when the dipole is held parallel or anti parallel to the electric field?

What will be the force and the torque when the dipole is held parallel or anti parallel to the electric field?

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In case the electric dipole gets parallel or antiparallel to the electric field then the torque will be zero.

What will be the torque acting on the dipole if it is placed parallel to the electric field?

Torque acting on the dipole is ζ = pE sinΘ It is given as the vector product of dipole moment of dipole and applied electric field. Torque is given as ζ = p E sinΘ

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What happens when a dipole is placed in a non uniform electric field parallel to the field?

If an electric dipole is placed in a nonuniform electric field, then the positive and the negative charges of the dipole will experience a net force. And as one end of the dipole is experiencing a force in one direction and the other end in the opposite direction, so the dipole will have a net torque also.

How the torque and net force affected when the same dipole is placed in non uniform electric field?

Magnitude of the two forces are equal but in opposite direction. Once the dipole is aligned in the direction of field, torque vanishes( r x F will be zero, if r and F are in same direction ). Once the dipole is aligned to electric field, the net force will be zero because they are in opposite direction.

What is the torque acting on an electric dipole?

An electric dipole in an electric field that is external is subjected to a torque written as τ = pE sin θ where symbol θ is the angle which is between p and E. The torque tends to align the moment of the dipole p in the direction of E.

What is the force on the dipole in electric field?

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.

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Will torque act on dipole when placed in non uniform field?

In a non-uniform magnetic field, a torque and a net force both act on the dipole.

What happens to the torque on a dipole if the field is non uniform?

No torque and no net force. Now, for a non-uniform electric field there will be a torque on the dipole but also a net force. Once the dipole comes parallel to the electric field vector a force will act on the dipole in the direction of increasing field.

Does the torque exerted on a dipole in a non uniform?

Electric dipole will experience a torque when dipole vector is not parallel to electric field direction. The torque τ = p × E = pESinθ. when p and E are parallel then angle θ between the two vectors is zero, hence there will not be any torque.

What is the net force and net torque experiences by an electric dipole placed in a uniform electric field?

Why is the net force on the dipole zero?

When a dipole is immersed in a uniform electric field, as illustrated in Figure 16.4. 3, the net force on the dipole is zero because the force on the positive charge will always be equal and in the opposite direction from the force on the negative charge.

How do you calculate torque acting on a dipole?

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.

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How do you find the torque of an electric dipole?

Since the force magnitudes are equal and are separated by a distance d, the torque on the dipole is given by: Torque (τ) = Force × distance separating forces . The torque on an electric dipole in a uniform electric field is given by the equation \\(\\vec{\au}=\\left |\\vec{\au}\imes \\vec{\\\\E} \\right|=pE\\sin \\Theta\\)

What is the net force on a dipole in an electric field?

The forces on the two charges are equal and opposite, so there is no net force on the dipole. However, there is a torque: A dipole in an external electric field. (a) The net force on the dipole is zero, but the net torque is not.

How do you find torque from a non-uniform electric field?

Thus, for an ideal (point) dipole in a non -uniform electric field, the torque is given by the same formula as that of a uniform field. Note that it is not correct to start with the expression for a force on an ideal/point dipole in a non-uniform field and then calculate torque from this force.

What is the direction of dipole-with dipole moment?

The direction of force experienced by a positive charge due to an electric field is along the direction of the field while that by a negative charge is along the opposite direction to the field. As seen above, the dipole-with dipole moment $\\vec{p}$-is aligned in the opposite direction to that of increasing electric field.