Electical problems driving me nuts!

I have been having electrical problems for the last few months that i can not seem to figure out. When i turn on the blower fan, headlights, or hit the brake, the radio will kick out. The battery was tested , and sais its good but needs a charge. Voltage coming from alternator is 14.5 however when orileys tested that for me they said it only looked to be putting out 20 amps. So i charged my battery up to full charge again.. and cycled through through the whippers and lights with the car turned off and ignition on and it does the same thing it does when the car is running, radio cuts out and everything flickers? Does the fact that the car wasn't running eliminate the change of it being from the new alternator not putting out the right amount of amps? We have replaced grounds and checked for shorts, but found nothing as of yet? Any advice would be greatly appreciated. I really don't want to pull the alternator back out to have it tested out of the car if its not the problem.. I also didnt keep the reciept and napa wont take it back with out it.. Errrr
Thanks for any help
Thanks for any help
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