'92 diesel jetta.
Lots of times on cold start, the tach stays at zero and the alternator light is on.
I looked and the belt is not slipping on the alternator pulley.
If I get the revs up to about 1200-1300 then the tach works and the light goes out. Works fine after that.
I figger either
a) the pulley is spinning on the alternator shaft
b) there's some threshold bootstrap voltage dynamic happening with the alternator; it's c-o-l-d up here in the GWN and this does seem to happen more when the engine starts first time in the a.m.