Hey guys,  Yesterday I was on th road with my 1977 Corvette and my worse fear happened.....My car just shut down.  Nothing worked, so I think it is an electrical problem.  I'm stumped on what it could be.  I'm thinking it might be a grounding wire or something.  Your thoughts on this would be greatly appreciated. 

Check to make sure your alternator is working properly. If it's not, you'll run off the battery until there's nothing left and then just stop. You can take it to almost any chain auto store and they'll check it out for you at no cost.jgoglick2007-03-12 18:00:18

I forgot to mention that the car will not start.  I get nothing when i turn the ignition.  I had to have the car towed to my house.  I also can't get the powered windows to work, the radio or the tail lights to work.  Sorry for not mentioning that.

I'd still check the alternator first. Do you have a voltmeter? Check to see what charge your battery has. If it's dead, then the alternator is a good first suspect. The battery starts the car, but then the alternator gives the car power to run and also recharges the battery.

By all means check voltage at the battery first. If the batt. has a full charge(12v), but there is no power anywhere, then start by checking the cables.
If you have a loose connection at the battery, then the voltage from the alternator will not charge it. If the car just up and died on you, and there is no power anywhere, you have to determine if the battery is dead or not. If it is, then you need to determine why.
I would suggest you charge the battery, then see what happens, If the car will start with the battery charged, then you are most likely looking at a bad alternator.
John is correct in suggesting an alt. problem. If it's not charging, when the batt. gets low/dead, the car will die. The car will run with a dead battery once you start it. It will run off of the alternator, but only as long as there is voltage at the alternator. Once the battery voltage gets so low, the alternator will no longer function. An alternator needs voltage to charge, unlike a generator, which makes it's own voltage.
Check your battery connections, make sure the battery is fully charged, and then test the alternator for output.
OR, you can remove the alternator and have it tested at you local parts house. They'll test the battery for you too, but, the batt. must have a full charge before it can be load tested.

Guys here is the update.  I checked the battery and that was fine and charged.  I even tried jump-starting the car.  That did not work.  I was determined to figure this dilema out so.... I unhooked the battery and started checking all the fuses in the engine (there is four that I know of)  So I looked in each fuse case and I found that the fuse was blown that ran the positive battery cable to the starter.  Well the casing was poorly wired, so I decided to pull out the whole fuse case.  I went to our local Autozone and bought a newer fuse casing and replaced it.  I was thankful it was nothing extensive or costly. Thanks for the responses & help!!!

You must be referring to the "fuse-links"...that would do it!
Glad you got it fixed!!

Brint;

Ken is right, check your cables, mine did the same thing and caught fire ! The starter / battery cable grounded out, scared the ca-ca out of me. Luckily, the wasn't any real damage done, just had to replaced/repaired some wires. 

Brint, glad you got it fixed.  This can REALLY be frustrating! I had it happen to my '64 coupe in Colorado Springs many years back.  Turned out to be the battery cable shorting out against the battery hold-down frame.  Who woulda thunk? Cost me about $2 to fix (after the tow and labor costs to diagnose). Electricity is all MAGIC to me . . .