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!

Derive Ampere's law from Biot-Savart law?

  1. Dec 24, 2014 #1
    In Serway physics, ampere derived Ampere's law(integral B dot ds=uI) with work done on the magnetic charge by magnetic field.(similear with E dot ds)
    Without using vector calculus, how can derive Ampere's law from Biot-Savart law?
  2. jcsd
  3. Dec 24, 2014 #2


    User Avatar
    Gold Member

    Take a wire and calculate its magnetic field. Then calculate the line integral of that magnetic field around a path which encloses a surface that the wire penetrates and show that this will give you the current back. The linearity of Maxwell's equations do the rest.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook