It's normal for the voltage regulator to reduce the voltage to a "float" level after the battery reaches a high state of charge. This prevents the battery from boiling off electrolyte due to overcharging. Just to give you an idea, if a battery has 200 amps drawn from it for 2 seconds to start the car and the alternator pushes 20 amps back into the battery when the engine is running, then it would only take a little more than 10 seconds for the battery to recover the discharged current.
Check the voltage of the battery after letting it sit 24 hours. If the battery reads between 12.6 and 12.7 volts, the alternator is working normally. If it's lower, then you may have a worn/weak battery or low alternator output.