Show that the equation is homogeneous

1. Jan 30, 2005

Gughanath

Show that the equation is homogeneous with respect to units:
I = nAQv

2. Jan 30, 2005

vincentchan

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

3. Jan 30, 2005

Gughanath

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!!

4. Jan 30, 2005

vincentchan

n represents number of free charge per unit voloume, and it has a dimension of one over volume, don't forget next time

5. Jan 30, 2005

arildno

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