Initially failed its emmissions test, but other odd things have happened....like cutting out when you put the full beam on.

(Although this was sorted by leaving the battery on charge overnight)
The issue I have at the moment, is while trying to diagnose the emissions, I've connected up my wideband sensor, but it can't get enough current.
(Apparently it needs a 3 amp draw)
Now I can maintain this, whilst revvving the engine, but as soon as I let it drop to idle, I no longer have the current.
It has a nice stable 12.7V supply though.
Any ideas?
I have 3 alternators here, including a brand new one, so that is my next though...although not sure how you are suppose to tighten the belt.
(yes I have read Robin's warnings about disconnecting the negative terminal while tinkering with the alternator)
So anyone able to explain why I can get volts and not amps? battery? alternator? wiring?
I've checked the grounds, and get same voltage at engine block as I do at the battery terminal....but haven't a clue how I can measure a 3 amp load.
Any help much apprecaited.