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## Homework Statement

Hello, Im wondering if Im thinking about electric potential correctly:

Stop me if I am wrong:

V=electric potential, the electric potential is created by source charges altering space around them.

If you place a test charge, q, within that space we can say it experiences electric potential energy U.

My book gives me an equation V=U

_{q + sources}/q.

since energy is conserved could we say ΔU=-ΔK? furthermore could we say ΔU=-W?

If so I see many possibilities of equations for V.

For a constant electric Field I know that U=qEd, therefore V=qEd/q=Ed

I believe this is just for a constant electric field...

How would the equations change for a non-constant electric field?

I have all these equations and have an okay understanding of them but when I do problems things are just not clicking...any advice/input would be appreciated