electromagnetism - Electromagnetic stress tensor is only traceless in 4D?

The electromagnetic stress tensor $F_{\mu \nu}$ is as we all know traceless in 4 dimensions. With $F_{\mu \nu} = \partial_\mu A_\nu - \partial_\nu A_\mu$ and $A = (A_0,A_1,A_2,A_3)= (\phi, A_1, A_2, A_3 )$

In other dimensions this is not the case? If so how does one expand either the definition of $F_{\mu \nu}$ and A?

Edit: I was clearly wrong with the with terminology, I meant the electromagnetic stress-energy tensor (or electromagnetic energy-momentum tensor) which was pointed out in the comment section.