Defining the electric current.

[AS28]

Hello.
I have attached a file containing a detailed question regarding the definition of the electric current. I'll be glad if someone can help me clarify this issue.
Thanks

 

[willem2]

A is an area, so it can't be 1 divided by a length. You seem to be forgetting n and the fact that it isn't dimensionless.

 

[AS28]

A is an area, so it can't be 1 divided by a length. You seem to be forgetting n and the fact that it isn't dimensionless.

Well, the problem is that I have read the summary I made for one of the lectures discussing the Hertzian dipole antenna, and $$\Delta L$$ just appeared the way I wrote it in the attached file. In fact, I clearly noticed what you had written before posting this message/thread, but I still try to figure out if I can define n or $$\Delta L$$ in different dimensions to get a correct expression for the electric current (I simply forgot to write some details down during the lecture and therefore now I try to understand what the lecturer meant..).
So what else could $$\Delta L$$ represent if I rule out the possibility of a length element?
thanks