How potential energy of electric dipole perpendicular to electric field is zero

In summary, the potential energy of a dipole perpendicular to an electric field is zero, regardless of the orientation of the dipole.
  • #1
Sumedh
62
0
how potential energy of electric dipole perpendicular to electric field is zero
in this situation the torque is maximum
so how P.E. can be zero
please help
 
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  • #2
Believe the equation, not your 'intuition'.
 
  • #3
(1) Potential energy is the work a body can do because of its position. A positive charge a very long way from a negative charge has positive PE relative to when it's near the charge, even though the force acting on it is almost zero when it is far away from the negative charge. There is no logical argument to link high PE of a charge at a point to high force on the charge at that point. Nor, for a dipole, to correlate torque at an orientation with PE at that orientation.

(2) We can assign zero potential energy to any point (or orientation) we wish. It is arbitrary. Only changes in PE have physical significance. It's just kinda neat to assign zero PE to the 'halfway' orientation of the dipole.
 
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  • #4
Since the dipole will not move translationally, why would it have anything but zero potential energy?
 
  • #5
DocZaius said:
Since the dipole will not move translationally, why would it have anything but zero potential energy?
Even though the dipole center doesn't translate (at least in a uniform field), the charges do move as the dipole rotates.
 
  • #6
Doc Al said:
Even though the dipole center doesn't translate (at least in a uniform field), the charges do move as the dipole rotates.

Right - I was aware of that (which is why i was careful to use the word "translationally" for the dipole as a whole). By the way, could we say that the dipole has nonzero electric rotational potential energy? (If we make the zero rotational potential energy to be at the angle when the dipole is parallel with the uniform field)
 
  • #7
Thank you very much
I got it.:smile:
 

1. What is an electric dipole?

An electric dipole is a pair of equal and opposite charges separated by a small distance. This results in a dipole moment, which is a measure of the strength and direction of the dipole.

2. How does an electric dipole interact with an electric field?

An electric dipole experiences a torque when placed in an electric field, causing it to align with the direction of the field. This alignment results in the potential energy of the dipole being zero when it is perpendicular to the electric field.

3. Why is the potential energy of an electric dipole zero when it is perpendicular to the electric field?

This is because when the dipole is perpendicular to the electric field, the forces acting on the charges are equal and opposite, resulting in no net force and therefore no change in potential energy.

4. How does the potential energy change when the electric dipole is not perpendicular to the electric field?

When the dipole is not perpendicular to the electric field, the forces on the charges are not balanced, resulting in a net force and a non-zero potential energy. The potential energy increases as the angle between the dipole and the electric field increases.

5. Can the potential energy of an electric dipole ever be negative?

Yes, the potential energy of an electric dipole can be negative when the dipole is aligned opposite to the electric field. In this case, the dipole experiences a net torque that causes it to rotate towards the direction of the electric field, resulting in a decrease in potential energy.

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