My 1991 Prelude had a power steering leak that basically poured into the
alternator. The battery light came on and the car eventually stopped.
After recharging the battery, the vehicle was restarted and ran for about 3
minutes before the battery light started coming back on and died (which I
assume the alternator is now bad). There was also a puff of white smoke
from the alternator area as it died. The battery is in good charge again.

The question is: now there is no power when the ignition switch is on. The
dome light does not work but the brake lights do come on. My understanding
is that the alternator would not cause this because the battery runs thru
the ignition to the starter and then back to the battery with a branch the
alternator off of this loop. What am I missing? What would cause this?
Thanks for your feedback.