No im saying your battery light should only be on, if the car is running off the battery or batteries and the vehicle is NOT seeing any additional power from your alternator. Example. If you turn your key forward without cranking vehicle, your battery light should be on. When you crank the car, the battery light should go away once it sees that the alternator has kicked on and is charging. If your Battery light is staying on, then your alternator may have went out. But since you said the power steering went out as well.... alot of vehicles have a one belt running the alternator and power steering pump. I would advise you to pop your hood and check for a missing belt, or at the very least check your voltage while the car is running.......