If you have a voltmeter, check the voltage at the bulb when it is dull and also when you say its bright. For what its worth, a new bulb will be 75p anyway so might as well buy a new one. Also is your battery the same old one. When the alternator went, did you let the battery die down? When batteries are discharged they dont usually go to there full capacity when charged up again, especially if they are a few years old.