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The equations:

[tex]Electric field =\frac{K.|Q|}{d^2}[/tex]

[tex]Electric potential =\frac{K.|Q|}{d}[/tex]

[tex]Electric Force =\frac{K.|Q|.|q|}{d^2}[/tex]

[tex]Potential Electric Energy =\frac{K.|Q|.|q|}{d}[/tex]

Electric field and electric force are vectors, electric potential and potential electric energy are scalar values.

Note that some of the concepts are related with each other just adding *d on the equation. For example electric field and electric potential are almost the same equation except to the fact that electric field is inverse proportional to the d squared and electric potential is inverse proportional only to the d. Also electric field is vector and electric potential is scalar. How can the electric field be a vector when its only the electric potential (scalar) multiplied by d? What's the intuitive meaning of the relation between electric field and electric potential (as the relation of electric force and potential electric energy)?

These four concepts are really necessary to fully describe a charge and the space that it's contained? Or some of them were created just to make the calculations easy?

I also realized the following: if you have a charge alone in a space you don't have potential electric energy because you don't have other charge to cause force on it, right? So, if I add a charge to the space, these two charges acquires potential electric energy and they start approximating (considering they have opposite signs). But, when distance between them decrease, the potential electric energy increases, right? So, what's the meaning of that? I'm confused...

I would be grateful if someone help me understanding these concepts.

Thank you