CAT5 and or serial continuity check HELP ME!!!

Okay,

Say I have a CAT 5 cable running from one place to another (say 100 meters). I cannot unplug the cable because it is carrying critical traffic. How can I physically determine where the cable goes.

Ideally, I’d like some sort of inductive non-invassive continuity probe that will not affect the traffic. Any suggestions?

Explaination: We have to travel to a site with about 100 PCs and Servers, PLCs, DCSs, HMIs, and other networkable components. We cannot unplug anything and do not want to add traffic to the network. How can we determine where all the untagged cables go?