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I learned about how PE = U=kq1q2/r is the electrical potential energy for the system. It is found by taking the integral of electrical force and dr from infinity to the point of location we are interested in.

So that is the intregral(F*dr) from r=inf to r=ro.

My question is that do I need to know to know this work integral for other applications? I know the formula U, so is the derivation of that important for any other physics problems?

I have a exam that includes the topic of work, potential energy, and potential. I'm kinda shaky on how to utilize the work integral for finding U in other cases. On the other hand, the work integral for Potential (V) is integration of E and dr which is useful is many applications cause it will always work (like in parallel charged plates and a point charge).

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# I Derivation of the Potential Energy of an Electric Charge System

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