Electric potential energy definition doubt?

AI Thread Summary
Electric potential energy is defined as the work done by an external force to move a charge q from infinity to a specific point in an electric field without causing any acceleration. This condition of no acceleration is crucial because it ensures that the kinetic energy of the charge remains constant during the movement. If the charge were accelerated, its velocity would change, leading to a change in kinetic energy, which would complicate the relationship between work done and potential energy. Thus, the definition emphasizes that the work done correlates directly with the change in potential energy only when kinetic energy remains unchanged. Understanding this concept is essential for accurately applying the principles of electric potential energy in physics.
Hardik Batra
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Electric potential energy of a charge q at a point in an electric field due to any charge configuration as the work done by the external force in bringing the charge q from infinity to that point without any acceleration..


In this definition, why charge is moved without any acceleration?
 
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Acceleration changes the velocity, and therefore also the kinetic energy. The work done on the charge equals the change in potential energy only if the change in kinetic energy is zero.
 
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Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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