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B Relationship Between Energy, Force, Potential, and Field

  1. Nov 13, 2017 #1
    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?
  2. jcsd
  3. Nov 13, 2017 #2


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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.
  4. Nov 13, 2017 #3
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