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!

The dimensions of an integral

  1. Jul 13, 2012 #1
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution

    Just a question on dimensional analysis here.

    I believe that when an integral is taken with respect to time for instance, dt appears as a dummy variable yes? Imagine we had

    [tex]\int E\ dt[/tex]

    Does this have dimensions of energy times time? Or doesn't the dummy variable count?
     
  2. jcsd
  3. Jul 13, 2012 #2
    energy times time isn't an insignificant dimension.
     
  4. Jul 13, 2012 #3
    I beg to differ, energy times time is action.

    edit (isn't an insignificant dimension) I thought you said it was.
     
  5. Jul 13, 2012 #4
    Now can someone answer my question please?
     
  6. Jul 13, 2012 #5
    Yes, this have dimension of energy times time.
    An obvious example is
    [itex] v=\frac{dx}{dt} \Rightarrow x=\int v dt [/itex]
    Speed is m/s and space is m.

    This is the dimension of an action!
     
  7. Jul 13, 2012 #6
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: The dimensions of an integral
  1. An integral (Replies: 6)

  2. Problem on dimensions (Replies: 0)

  3. Dimension 4 (Replies: 6)

  4. Extra Dimensions (Replies: 3)

Loading...