No power from alternator to battery

Look for loose connections at alternator, an open fuse or bad fusible link in the harness.

Yes this is what happens when you disconnect the battery while engine is running. The alternator keeps power going to all components as well as charging battery, this is alternating current or AC. GOOD LUCK FRIEND.

If the lights drain the battery when the engine is running, then you have a bigger problem of the alternator not charging, not working. When the engine is running, the alternator supplies all the current to run the car's electrical systems, while also charging up the battery for the next start-up. If you know the alternator is good, then maybe a fuse or fusible link has blown, preventing the alternator from working. To check, put a voltmeter on the battery with engine running-it should show over 13.5 volts if the charging system is working. If the alternator is not putting out, the voltmeter will read same voltage on the battery as when the engine is not running. A fully charged battery should show "around" 12.6 volts. A discharged battery will show less than 12 volts. That should give you an idea of the range to look for on a voltmeter. I believe some parts stores will check the voltage for free. I know most stores will test the alternator and battery for free if brought into the store, but you need the voltage read while on the car and engine running. If the system is charging normally and the lights kill everything, you may have a short in the lighting system.

You or someone will have to figure out why your new alternator is doing absolutely nothing. Not only is it not putting out enough power to run all the car's electrical systems, it is also not charging the battery, so you could start it next time off the battery and not have to get it jumped. With it not working, the car has to use battery power to run everything, and when you use lights, or radio, or any accessory, the battery runs down even quicker.
One reason alternators don't work is loose or poor connections between the battery and alternator. You could remove your battery cables (check them, if they look old or worn badly, replace) from the battery (negative first) and clean the cable ends and the battery posts till the metal is shiny clean. Do the same for the negative cable to frame ground point. Then check the big cable end on the starter, make sure it is tight. Put the cables back on-positive first, negative last, then move to the alternator and check the connections there for a clean tight connection. A couple of other ground points you could check is the engine to frame ground-somewhere on the engine is a ground strap bolted to engine metal and the other end will ground on the car frame or on the firewall in back of engine. If this ground is lost, strange electrical problems may result. One more ground: often the engine and computer wiring harness will have a ground wire coming out of the harness-a short wire-and may be grounded around the top of engine-many cars do have this visible ground, so check for it and check if a good ground.
If you do all this, and still no help, cheeck all your fuses in the under hood fuse block-sometimes there is an alternator fuse there, a big maxi-fuse. Check if good, check all fuses. If no help, you likely need a mechanic or shop to figure it out. Good luck. Hope you find it.

Chances are its the wire between the alternator and the battery, or the circuit that goes to the warning light on the dash. The warning light powers the volt regulator in the alternator which "turns on" the alternator.
The wire between the alternator and the battery is designed to burn and cut the connection much like a fuse.
You may have to get a shop manual or repair book to get the wiring diagram needed to troubleshoot the circuits.

If the check engine light is on you should have the computer checked for trouble codes. That might point you in the right direction to troubleshoot the charging system.
You could have blown the maxi fuse for the alternator.

Let the car run for a little while. The battery will read lower after starting because it just pulled power out to start the car. If battery light comes on or the voltage keeps dropping trace all wires and make sure connections are tight. I would think that a 95 model car would have an internal voltage regulator but if not find it and replace it. But be sure to unhook the battery first or you will short the new regulator out too.

check ground on altnator and make sure pos lead is connected to back of altnator to battery make sure belt is tight on altinator

depending on how new your truck is you may not be able to disconect the battery and keep it running there are just so many electrical things in cars now adays that the altnator alone just cant keep up with every thing at idle you may want to go to a local scrap yard and get a whole dash cluster or check all your fuses again first

the power wire that comes off the back side of the altnator could have a bad connection, I would take the nut off and make sure the connection is good, if it is i would follow the wire all the way over to the battery to make sure there are no brakes in the wire. if there are no brakes in the wire check the connection at the battery, chances are you find something going on with that wire.