Question: What is meant by electric dipole derive the formula for work done to rotate the electric dipole in electric field?

What do you mean by electric dipole?

An electric dipole is a pair of equal and opposite point charges -q and q, separated by a distance 2a. The direction from q to -q is said to be the direction of the dipole.

What is electric dipole derive the expression for electric potential due to an electric dipole at equatorial line?

Therefore, the electric potential due to an electric dipole at a given point is equal to KPcosθr2−a2cos2θ. Special cases: (i) When the given point is on the axial line of the dipole (i.e. θ=0). Substitute θ=0 in equation (iv).

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What is the formula of work done in rotating an electric dipole in an electric field?

For an electric dipole p in a uniform field E we write the work done by an external agent in rotating dipole as dW=pEsinθdθ.

What is electric dipole derive an expression for torque when dipole is placed in uniform electric field?

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.

What is electric dipole formula?

The formula for electric dipole moment for a pair of equal & opposite charges is p = qd, the magnitude of the charges multiplied by the distance between the two.

What is dipole moment formula?

Dipole Moment Formula

A dipole moment is the product of the magnitude of the charge and the distance between the centers of the positive and negative charges. It is denoted by the Greek letter ‘µ’. Mathematically, Dipole Moment (µ) = Charge (Q) * distance of separation (r) It is measured in Debye units denoted by ‘D’.

What is electric potential due to electric dipole?

Electric potential experienced by the dipole at any point is the algebraic sum of potential created by both the positive and negative charges. Complete answer: Electric potential is the amount of work required for moving a positive unit charge from the infinite to a specific point inside the electric field.

What is the electric potential due to a dipole?

What is the electric potential due to an electric dipole at an equatorial point? Zero, as potential on equatorial point, due to charges of electric dipole, are equal in magnitude but opposite in nature and hence their resultant is zero.

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What is meant by electric dipole and its dipole moment obtain an expression for electric field due to an electric dipole at a point on the perpendicular bisector of the dipole?

Electric dipole moment is defined as the product of either charge and the length of the electric dipole. Electric field on equitorial line of an electric dipole: Consider an electric dipole consisting of charges -q and +q seperated by a distance 2a.

What is the expression for total work done in rotating an electric dipole from its equilibrium position to an angle theta with the uniform field?

Torque=rqE sin(theta), now this rq is nothing but the dipole moment p. Work done by the torque is given by Integration[Torque. d(theta)] with upper limit Beta(final angle) and lower limit Alpha(initial angle).

Why does a dipole rotate in an electric field?

1: A dipole in an external electric field. (a) The net force on the dipole is zero, but the net torque is not. As a result, the dipole rotates, becoming aligned with the external field. … The forces on the two charges are equal and opposite, so there is no net force on the dipole.

What is electric dipole Class 12?

The electric dipole is a pair of two equal and opposite charges, +q and −q are separated by a very small distance. … The electric dipole moment of the electric dipole is defined as the product of the magnitude of one of the charges of the dipole and the separation distance between them.

What is the expression for torque acting on an electric dipole?

τ = PE sinθ; τ → torque, P → dipole moment of the electric dipole, E → Strength of the uniform electric field and θ → angle between the directions of P and E.

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What is the net torque on the electric dipole?

Torque (τ) = Force × Distance Separating Forces. τ=dqEsinθ Since dipole moment is given by: p=qd. 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.