1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Relationship between Electric Field and Potentential

  1. Jun 17, 2015 #1
    E=keQ/r2 and V=keQ/r , I'm curious as to what what causes the relationship to r vs r2. I know the electric field is a measure of force per unit charge and the electric potential is a measure of energy per unit charge, just struggling to mentally connect where the inverse square relation to distance loses the square.
  2. jcsd
  3. Jun 17, 2015 #2
    One is the derivative of the other. The derivative of 1/r gets you 1/r^2 (save some factor).
  4. Jun 17, 2015 #3


    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor

    The most general form of the relationship between E and V is

    [tex]E = -\nabla V[/tex]

    This means that E is the vector gradient of the potential field V.

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook