Could I treat this as a closed loop?

[kikko]

Could I treat this picture as a closed loop? This is part of a much larger problem, so this is all I need to know. I think I can because the ends go off to infinity, but I'm not sure.

http://i.imgur.com/RFCsrqH.jpg

 

[NascentOxygen]

What is it?

 

[kikko]

An infinitely long bent wire. Actually, I believe the answer is I can't treat it as a closed loop.