# What work must be done to rotate an electric dipole through an angle?

Contents

W=pE(1−cosθ)

W=pE(1−cosθ)

## What is the work required to rotate an electric dipole from its most stable to the most unstable condition in uniform electric field?

The potential energy of the dipole is minimum when p is aligned with the field E (ϴ = 0) and by convention is taken as – pE , and maximum when p is opposed to the field (ϴ = 180) when it is + pE. Note that ϴ = 0 corresponds to the position of stable equilibrium, and ϴ = 180 to the position of unstable equilibrium.

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## 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).

## What is the work done in rotating?

The total work done to rotate a rigid body through an angle θ about a fixed axis is the sum of the torques integrated over the angular displacement. If the torque is a constant as a function of θ , then WAB=τ(θB−θA) W A B = τ ( θ B − θ A ) .

## What is a rotating dipole?

A rotating dipole source consists of two fixed dipoles, either magnetic or grounded electric current dipoles, oriented with their axes mutually perpendicular and energized by sinusoidal current with a 90° phase shift between sources so that the resultant magnetic and electric fields appear to rotate in space.

## What is the work done in rotating a dipole from stable to unstable equilibrium?

Work done in rotating an electric dipole is 6.4 × 104 J.

## What is the work done due to rotation of electric dipole in external electric field?

Therefore we have that the work done by the external field in rotating the electric dipole through some angle is W=∫θfθiqEsinθrdθ+∫θfθiqEsinθrdθ. Therefore W=2∫θfθiqrEsinθdθ. where the electric dipole is given by →p=q→ℓ and has magnitude p=qℓ.

## What is the work done in rotating a dipole from its unstable equilibrium to stable equilibrium does the energy of the dipole increase or decrease?

Potential energy of dipole is the energy possessed by the dipole by virtue of its particular position in the electric field. Hence, work done , W = -2pE and hence the energy of the dipole decreases in this process.

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## How much work is done on an electric dipole moment P in turning it from its position of stable equilibrium to a position of unstable equilibrium?

Work done to turn the dipole from its stable equilibrium position to unstable equilibrium position is : W=u2-u1=(pE)-(-pE)=2pE.

## What is an electric dipole derive an expression for the torque acting on an electric dipole when held in a uniform electric field hence define the dipole moment?

Answer: Let inside the uniform magnet field the electric dipole is placed. … The torque(T) of the dipole is (qE×2dsinθ where d is the length of the dipole and θ is angle between the dipole and the direction of the field.

## What is torque times angular velocity?

The instantaneous power of an angularly accelerating body is the torque times the angular velocity: P=τω P = τ ω . … In the rotating system, the moment of inertia takes the role of the mass and the angular velocity takes the role of the linear velocity.

## Can electric potential at a point be zero while electric field is non zero justify your answer?

Yes, electric potential can be zero at a point even when the electric field is not zero at that point. … At the midpoint of the charges of the electric dipole, the electric field due to the charges is non zero, but the electric potential is zero.

## What is work done in rotating a particle on circular path?

In circular motion, work done by centripetal force is zero.

## What is work done formula?

Scientifically Work done formula will be given as, W = F * d: … We know that work done is defined as the multiplication of magnitude of displacement d and the component of the force that is in the direction of displacement.

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## What is rotational work schedule?

The term “rotational shiftwork” covers a wide variety of work schedules and implies that shifts rotate or change according to a set schedule. These shifts can be either continuous, running 24 hours per day, 7 days per week, or semi-continuous, running 2 or 3 shifts per day with or without weekends.