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A spark is formed when the electric field strength exceeds the dielectric field strength of air. Meaning that when an area of space's electronic strength exceeds the area surrounding it, a spark occurs to modulate or evenly distribute the electrical strength.

An Arc occurs when an highly conductive object with a high electrical charge is in the proximity of a highly conductive object with a low electrical charge, allowing the electrical field to travel through an area with lower conductive properties (such as air) to the object which is highly conductive but contains a lower charge than the other object. Rubbing your feet on a carpet and touching someone is a good example of this occurrence.

The difference in a spark and an arc is a spark is a singular occurrence which only needs a single particle to occur and in order to create or induce an Arc, two object are needed.

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Q: What is the difference between the spark and arc please?
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