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Show that the equation is homogeneous

  1. Jan 30, 2005 #1
    Show that the equation is homogeneous with respect to units:
    I = nAQv

    I cant prove it, please help
  2. jcsd
  3. Jan 30, 2005 #2
    the unit of I is C/s
    unit of n is /m^3
    unit of A is m^2
    unit of Q is C
    unit of v is m/s
  4. Jan 30, 2005 #3
    ooops i thought I could ignore n because its a constant, well now i know its not a constant. SO: I = (m^-3)(m^2)(As)(ms^-1), this cancels down nciely to give I = A!!
  5. Jan 30, 2005 #4
    n represents number of free charge per unit voloume, and it has a dimension of one over volume, don't forget next time
  6. Jan 30, 2005 #5


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    You DID mean free charge CARRIERS per unit volume?
    (Otherwise, you'd ebd up with charge squared..)
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