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

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SUMMARY

The potential energy of an electric dipole positioned perpendicular to an electric field is defined as zero due to the arbitrary nature of potential energy assignments. The torque experienced by the dipole is at its maximum in this orientation, yet this does not correlate with potential energy, which is only significant in terms of changes rather than absolute values. The discussion emphasizes that while the dipole does not translate, the charges within it move as it rotates, leading to a consideration of nonzero electric rotational potential energy when aligned parallel to the field.

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Sumedh
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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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Believe the equation, not your 'intuition'.
 
(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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Since the dipole will not move translationally, why would it have anything but zero potential energy?
 
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.
 
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)
 
Thank you very much
I got it.:smile:
 

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