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!

I Zero-Divergence of Rate of Change of Magnetic Flux

  1. May 3, 2016 #1
    Let's introduce a time-varying scalar field ρ(x,y,z,t) [charge density] and vector field J(x,y,z,t) [current density]

    Assuming the system follows Maxwell's equations, what must both fields satisfy such that

    ##∇⋅(\frac{∂B}{∂t})=0## ?
     
  2. jcsd
  3. May 3, 2016 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    ... and what do you get?
     
  4. May 4, 2016 #3
    that's what I'm wondering myself
     
  5. May 4, 2016 #4

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    Well do the maths and see ... i.e. can you change the order between the time-partial and the div in that last equation?

    If I don't see how you are attempting the problem I don't know how it is a problem for you so I don't know how to help you.
     
  6. May 7, 2016 #5
    Oh I get it! Gauss' Law for Magnetic Flux! Right under my nose the whole time.
     
  7. May 7, 2016 #6
    This leads to the next part of my question, if you don't mind.

    Let's say we are given a vector field ##A##.

    Vector field ##B## is defined as ##B = ∇×A##

    Must ##∇⋅A=0## in order for ##B## to exist?
     
  8. May 7, 2016 #7

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

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

Have something to add?
Draft saved Draft deleted



Loading...