Quick Answer: What is the potential energy of a dipole placed in uniform electric field?

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 the potential energy of a dipole in uniform electric field?

Let us consider an electric dipole of the dipole moment →P in a uniform electric field →E with →P making an angle θ with →E. , since the dipole axis is perpendicular to the field so potential energy is equivalent to zero.

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What is the potential energy of dipole placed in uniform electric field at equilibrium position of it?

−6×10−23J.

What is value of potential energy of dipole?

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}]. Also, the potential energy of the dipole moment is maximum, that is [ + pE] when the angle between dipole moment [vec p] and electric field [vec E], is [pi ].

What is electric potential energy in a uniform field?

A constant electric field can be produced by placing two large flat conducting plates parallel to each other. The electrical potential difference in a uniform electric field is given as V=Ed. The work done moving a charge against the field can be found by W=Vq.

When the electric potential energy of an electric dipole placed in a uniform electric field will be maximum and 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.

What do you mean by potential energy of an electric dipole when placed in electric field?

Consider a dipole with charges q1 = +q and q2 = -q placed in a uniform electric field as shown in the figure above. … From the above equation, we can see that the potential energy of dipole placed in an external field is zero when the angle Ɵ is equal to 90° or when the dipole makes an angle of 90°.

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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.

What is potential due to dipole?

A dipole is a pair of opposite charges with equal magnitudes separated by a distance, d. The electric potential due to a point charge q at a distance of r from that charge is given by, V = 14πε0 qr. Where ε0 is the permittivity of free space.

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.

For what position of an electric dipole in a uniform electric field its potential energy is minimum?

Potential energy of an electric dipole is maximum when it makes 180 degree with electric field and minimum when angle between them is zero degree .

At what angle potential energy of an electric dipole held in a uniform electric field is zero?

POTENTIAL ENERGY OF A DIPOLE IN A UNIFORM ELECTRIC FIELD

We have consider the value of θ from 90o to θ, since dipole axis is perpandicular to the field so potential energy is equivalent to zero.

Under what conditions is the potential energy of a dipole in electric field lowest?

The potential energy is lowest when the dipole is aligned with E and highest if it is anti-aligned. If the field is not uniform, then the magnitude of the electric force acting on the positive charge can be different from that acting on the negative charge, and there can be a net force acting on the dipole.

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What is electric potential and potential energy?

Electric potential energy is the energy that is needed to move a charge against an electric field. … It’s hard work, because the electric force is pulling them together. If you let the positive particle go, it would snap back to the negative plate, pulled by the electric force.

What is electric potential energy vs electric potential?

While electric potential energy has a dependency upon the charge of the object experiencing the electric field, electric potential is purely location dependent. Electric potential is the potential energy per charge.

How does electric potential change in a uniform electric field?

The relationship between V and E for parallel conducting plates is E=Vd E = V d . … For example, a uniform electric field E is produced by placing a potential difference (or voltage) ΔV across two parallel metal plates, labeled A and B.