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Correct, no electrical work would be done. There may be some mechanical work done by the mechanism that moves the charge and this will probably be converted to heat.

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Q: If two points are all at the same potential does this mean that no work is done moving a test charge from one point to the other?
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How does the motion of a swing illustrates the transformation between kinetic and potential energy?

When the swing reaches its two highest points, its kinetic energy is zero because it is not moving momentarily, and its potential energy is at its maximum. As the swing moves away from its two highest points, in other words, swings, its potential energy decreases and its kinetic energy increases.


How does the motion of a swing illustrates the transformation between potential and kinetic energy?

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What unit shows the difference in charge between two points?

I don't think such a unit is used, or would make much sense, in physics. That sounds like the description of voltage - unit volt. However, the volt is not really a difference in electric charge, but rather, of electric potential. It can be understood as potential energy related to electric fields: if there is an electric potential between two points, it requires a certain amount of energy to move a unit charge from one point to the other. Thus, the unit volt is equivalent to joules / coulomb.


What are collision?

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What is voltage difference?

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