1. Not finding help here? Sign up for a free 30min 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!

Cross Products

  1. Apr 8, 2008 #1
    1. The problem statement, all variables and given/known data
    B = grad(A)

    Find A
    If one is given B z-hat
    2. Relevant equations


    3. The attempt at a solution

    What mathematical operation would I apply to solve this?
     
  2. jcsd
  3. Apr 8, 2008 #2

    neu

    User Avatar

    Do you know what grad is?
    [tex]B= \nabla A= \left(\frac{\partial}{\partial x}\hat{\textbf{x}} + \frac{\partial}{\partial y}\hat{\textbf{y}} + \frac{\partial}{\partial z}\hat{\textbf{z}}\right) A[/tex]
     
  4. Apr 8, 2008 #3

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    By "one is given B z-hat" do you mean you are given only the z-component of grad A?
    Then there are many solutions. For example, if we are given that the z-component of grad A, then A can be any function of x,y- as long as it has no dependence on z, the z-component of grad A is 0.

    Since the grad of a function is a derivative, the "mathematical operation" you would use to find A is the anti-derivative or "indefinite" integral.
     
  5. Apr 8, 2008 #4
    No

    Since the grad of a function is a derivative, the "mathematical operation" you would use to find A is the anti-derivative or "indefinite" integral.
     
  6. Apr 8, 2008 #5
    SOrry folks I meant Curl
     
  7. Apr 8, 2008 #6

    nrqed

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    You already have another thread on exactly the same question
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Cross Products
  1. Cross product (Replies: 1)

  2. Cross Product? (Replies: 17)

  3. Cross Products (Replies: 6)

  4. Cross Products (Replies: 3)

  5. Cross product (Replies: 3)

Loading...