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प्रश्न
Depict the orientation of an electric dipole in (a) stable and (b) unstable equilibrium in an external uniform electric field. Write the potential energy of the dipole in each case.
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उत्तर
- The dipole is in stable equilibrium when it is parallel to the electric field (i.e., the angle between the dipole moment and the electric field is 0°).
- When the dipole is aligned anti-parallel to the electric field (i.e., the angle between the dipole moment and the electric field is 180°, then the dipole is in unstable equilibrium.
For stable equilibrium (θ = 0°)
Potential energy U = -pE cosθ
U = -pE
For unstable equilibrium (θ = 180°)
Potential Energy U = -pE cosθ
U = pE
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संबंधित प्रश्न
Figure shows a charge array known as an electric quadrupole. For a point on the axis of the quadrupole, obtain the dependence of potential on r for r/a >> 1, and contrast your results with that due to an electric dipole, and an electric monopole (i.e., a single charge).

Work done by a uniform electric field 'E' in moving a charge 'q' at a distance 'd' from a to b is ______.
Under what condition is the torque on a dipole in a uniform electric field non-zero?
What is the formula for torque acting on a dipole making an angle θ with a uniform electric field?
In vector form, how is the torque on a dipole expressed in terms of dipole moment and electric field?
What must an external agent do to rotate a dipole slowly in a uniform electric field?
What reference angle is chosen to simplify the potential energy formula for a dipole, and why?
What is the final formula for the potential energy of a dipole in a uniform electric field?
What is the relationship between the torque direction and the direction of dipole rotation?
If the electric field strength is doubled while keeping the dipole orientation constant, how does the potential energy change?
