I'm moving the copier which is connected to the server via jack, to a different section of the office. Lucky for me, its going to be right next to the server.

I just have to identify which cable going into the switch belongs to the jack, then I can connect the cable to the copier. How do I identify which cable going into the switch belongs to the jack?

Probably the best way would be with a cable tracer.

Assuming you can't borrow a tracer from somewhere...

I can't quite visulise your situation, but if you have various jacks around the office and a whole bunch of unlabeled cables at the switch then I guess you'll have to check which link lights are active on the switch, then disconnect something and see which light goes out.

If you only need to identify the one cable from where the copier was then just check the lights with the copier connected and again with it disconnected.

It gets a bit more dodgy if you have a mix of phone and data services in the same cabling but if it's all Ethernet you can't go far wrong.