Try having your altanator checked.
Check the battery again with a cheap voltmeter ($20 radio shack); just to verify that you haven't put in a bad battery. With the engine running at 2000rpm, check the voltage at the battery terminals (this is the easiest way to check the alternator).... hopefully you're getting around 13.5volts -- otherwise, dead alternator.
Try checking the corrosion on the leads connecting to your battery terminals. I had a problem with rusty connectors which severely limited the amount of current that could be drawn from the battery, and after replacing those leads with a 5 dollar kit at my nearest auto store, it solved my problems.
I just had to replace the alternator on my '99 Toyota Avalon with 150K miles. I disconnected the negative cable when the car was running, at the suggestion of a person on another site. The mechanic said that I really risked ruining the car's computer system by doing that -- he said that might've worked for an old car but with the newer ones and computers I really took a chance. He said a voltmeter is the way to go in the absence of a better way and said the voltmeter should show 13.5-14 volts.
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