Here is another reply from some of the tapers
"Without knowing what year and model car anything suggested will just be a guess. Could be anything from a bad brake sensor shorting (insulation rubbed off creating a ground) to the driver just associating the symptoms with braking when it could be something as simple as a belt slipping, ie when he isn\'t accelerating the alternator belt slips and the voltage drops until he either accelerates again or the belt quits slipping and starts spinning the alternator again.
Easiest way to check whether the brakes are involved or it\'s just a slipping belt, have him start the car (while in his driveway, work parking lot etc, leave the car in park while doing the following), bring the RPMs up to about 2500 and let off the gas without touching the brake pedal, if the symptoms present then its not the brakes but something in the electrical system. Have him bring the revs back up but this time depress the brake pedal after letting off the gas, if the symptoms present this time where they didn\'t before, then it is something to do with the brakes but the electrical system is still involved. If that\'s the case, have him take it to his mechanic."
I just posted the year and make so perhaps it will yield better responses.