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STATEMENT-1: If potential energy of a dipole in stable equilibrium position is zero, its potential energy is unstable equilibrium position will be 2pE, where p and E represent the dipole moment and electric field respectively

and

STATEMENT-2 : The potential energy of a dipole is minimum in stable equilibruim …

## What is the potential energy of a dipole in stable equilibrium?

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 potential energy at stable equilibrium?

The negative of the slope of the potential energy curve, for a particle, equals the one-dimensional component of the conservative force on the particle. At an equilibrium point, the slope is zero and is a stable (unstable) equilibrium for a potential energy minimum (maximum).

## What is an electric dipole in stable equilibrium in an electric field?

A dipole in stable equilibrium, when Electric filed and dipole moment are perpendicular to each other i.e. the angle between them is zero degrees and torque will be maximum.

## What is the potential energy of an electric dipole in an electric is given by?

P.E=−pEcosθ=−p⋅E. This is negative when θ is acute and positive when θ is obtuse. You should verify that the product of p and E does have the dimensions of energy.

## What is potential energy of a dipole?

Potential energy of a dipole in an external fieldElectric potential energy of an Electric dipole in dipole from zero energy position to the desired position (The zero enrgy position to be one when the dipole When an electric dipole of dipole moment p is on it such that P = [ P ] × [ E ] This torque tends to rotate the …

## What is the potential energy of a dipole moment p?

The potential energy of the dipole is minimum, that is [ – pE] when [cos theta = 1]. Therefore, we can substitute [0^circ ] for [theta ]. The potential energy of the dipole is zero, when the angle between dipole moment [vec p] and electric field [vec E] is [dfrac{pi }{2}].

## What is stable equilibrium and unstable equilibrium?

A system is said to be in stable equilibrium if, when displaced from equilibrium, it experiences a net force or torque in a direction opposite to the direction of the displacement. … A system in unstable equilibrium accelerates away from its equilibrium position if displaced even slightly.

## How do you find stable and unstable equilibrium?

Stability theorem

- if f′(x∗)<0, the equilibrium x(t)=x∗ is stable, and.
- if f′(x∗)>0, the equilibrium x(t)=x∗ is unstable.

## What is mean by stable unstable and neutral equilibrium for which equilibrium is the potential energy of the system is minimum?

(6) If it is positive, we are having stable. (If it is zero, it is neutral equilibrium. (if it is negative ,it is unstable equilibrium. Solved Examples. (1) The potential energy function of the object confined to move along x-axis x> 0 is given below.

## For what position of an electric dipole in a uniform electric field its potential energy is maximum unstable equilibrium angle between P and E *?

For unstable equilibrium, potential energy is maximum at equilibrium position. A dipole in a uniform electric field is in stable or unstable equilibrium according as the angle between the dipole and electric field is 0 or 180.

## At what angle the potential energy of the electric dipole is minimum?

When the angle between the dipole moment and electric field is 180° then the potential energy of electric dipole is maximum. (II). When the angle between the dipole moment and electric field is zero then the potential energy of electric dipole is minimum.

## When the dipole is in unstable equilibrium?

-The dipole is in unstable equilibrium when it is oriented anti-parallel to the electric field (i.e. the angle between the dipole moment and the electric field is 180∘).

## What is potential energy of charge and dipole?

Solution: Total energy of a dipole →p=p^ı p → = p ı ^ when it is far away from the charge q , is zero. Now, this dipole is placed in the electric field of charge q . The electric field of charge q and the potential energy of the dipole are given by →Eq=14πϵ0qr2^ı,U=−→p⋅→Eq=−qp4πϵ0r2.

## How do you find the energy of a dipole?

Energy of a dipole in electric field: We calculate the energy of a diple in a electric field E by bringing the dipole from infinity and placing it such that −q charge is at r. Work done is ( E = −∇V (r)), U = −q V (r) + q V (r + s).

## What is the potential energy of a dipole in an external electric field give a proper derivation with final formula?

The potential energy of a dipole in an external field

τ = p × E.