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!

Curl of Induced E Field?

  1. Nov 28, 2015 #1
    I have a problem. So the curl of the E field is supposed to be zero always, which tells us that it is a conservative force (path independence and scalar potential and so on). But what about the fact that the induced electric field consequent upon changes in magnetic flux is circular? Doesn't this mean that if we sustained such a field we would have a non-conservative electric field?

    Is this a problem, or is it just that the claim about electric fields having zero curl has application only to electrostatics?
     
  2. jcsd
  3. Nov 28, 2015 #2

    MarcusAgrippa

    User Avatar
    Gold Member

    The curl of the E-field is zero only if the E-field is time independent, i.e. electrostatics. In the dynamic case, the curl of the E-field is the negative rate of change of the B-field, which is not zero in general. This makes the dynamic E-field non-conservative, with the path integral around a closed loop equal to the EMF in the circuit which drives the current.
     
  4. Nov 28, 2015 #3

    Dale

    Staff: Mentor

    No, ##\nabla \times E=-\partial B/\partial t##
     
    Last edited: Nov 28, 2015
  5. Nov 28, 2015 #4

    MarcusAgrippa

    User Avatar
    Gold Member

    Don't forget the negative sign.
     
  6. Nov 28, 2015 #5

    Dale

    Staff: Mentor

    Oops, fixed it.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Curl of Induced E Field?
  1. Curl of E for charge (Replies: 4)

  2. Induced E field? (Replies: 4)

Loading...