Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Zero curl and gradient of some scalar potential

  1. Nov 3, 2011 #1
    Can someone help me intuitively understand why if a field has zero curl then it must be the gradient of a scalar potential?

  2. jcsd
  3. Nov 4, 2011 #2


    User Avatar
    Science Advisor
    Gold Member
    2017 Award

    If the curl is zero the field does not rotate so the field lines look like gradient flows.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Similar Threads for Zero curl gradient
A Angular Moment Operator Vector Identity Question