We can always add an arbitrary constant a(alpha) to potential energy at every point, since this will not change the potential energy difference; (Up+a) - (Ur+a) = Up-Ur.
Can someone explain this. I need proper explanation.
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Answer:When a free positive charge q is accelerated by an electric field, such as shown in Figure 1, it is given kinetic energy. The process is analogous to an object being accelerated by a gravitational field. It is as if the charge is going down an electrical hill where its electric potential energy is converted to kinetic energy. Let us explore the work done on a charge q by the electric field in this process, so that we may develop a definition of electric potential energy.
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