There are no rules that govern at what range active equipment can be detected.
Generally speaking, electronics equipment is always on. In fact, having it off and then turning it on will be noteworthy, so for this mission, it'd be best to keep it on the entire time, which will then appear as if you're looking for Hidden Units.
Note that the Doubleblind rules in TO make no distinction between detecting a unit that has an Active Probe, and a unit that does not.