In case the electric charge of an object can be assumed to be at rest, it has potential energy due to its position relative to other charged objects.The electrostatic potential energy is the energy of an electrically charged particle (at rest) in an electric field. It is defined as the work that must be done to move it from an infinite distance away to its present location, in the absence of any non-electrical forces on the object. This energy is non-zero if there is another electrically charged object nearby.The simplest example is the case of two point-like objects A1 and A2 with electrical charges q1 and q2. A related quantity called electric potential (commonly denoted with a V for voltage) is equal to the electric potential energy per unit charge.
The potential difference between two points A and B, written as V_b
V_a, is equal to the work done in moving a unit charge from A to B.
If a uniform E-field exists in a region of space, the V_b V_a = -
E.d, the dot product of the vector E and the vector d from A to B.
In a parallel plate capacitor, the potential difference between the
plates is equal to Ed, where E is the electric field between the plates and d is the separation between the
plates. The positive plate is at a higher potential than the negative plate.
Electric Potential, Part 1
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