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Potential Energy of a Dipole in Uniform Electric Field

Derive an exp...

Question

Derive an expression for the torque acting on an electric dipole kept in a uniform electric field and hence define electric dipole moment.

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Solution

Electric dipole moment is the measure of separation of positive and negative charges. It is the measure of overall polarity. Its SI unit is Coulomb-meter.

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Q. An electric dipole is held in a uniform electric field (i) Using diagram show that it does not undergo any translatory motion, (ii) derive an expression for torque acting on it.

Q. (a) Derive an expression for the electric field E due to a dipole of length '2a' at a point at a distance r from the centre of a dipole on the axial line.
(b) Draw a graph of E versus r for r >> a.
(c) If this dipole was kept in a uniform external electric field

E_{0}

, diagrammatically represent the position of the dipole in stable and unstable equilibrium and write the expressions for the torque acting on the dipole in both the cases.

Q. The torque acting on a dipole of moment

\to P

in an electric field

\to E

Q. Maximum torque acting on an electric dipole of moment

3 \times 10^{- 29}

Cm in a uniform electric field E is

6 \times 10^{- 25}

Q. Torque acting on an electric dipole in a uniform electric field is maximum if the angle between

\to P

\to E

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Potential Energy of a Dipole in Uniform Electric Field

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