Relationship Between Energy, Force, Potential, and Field

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Electric potential is distinct from electric potential energy as it exists independently of a test charge, while potential energy requires one for its calculation. The relationship between these concepts is clarified by stating that electric potential energy corresponds to electric force, just as electric potential relates to the electric field. The electric force is defined as the negative gradient of electric potential energy, whereas the electric field is the negative gradient of electric potential. This framework helps in understanding the interactions between charges and fields in electrostatics. Overall, recognizing these distinctions enhances comprehension of electric phenomena.
matangi7
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I was answering the question, "Since electric potential is always proportional to potential energy, why bother with the concept of potential at all?"
I answered that this is because Electric Potential Energy requires a test charge to calculate, Electric Potential is present without a test charge. Based on this, is it safe to say that Electric potential energy is to electric force as electric potential is to electric field?
 
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It is safe to say that. In fact the electric force is the negative gradient of the electric potential energy and the electric field is the negative gradient of the electric potential.
 
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