Since you can run the car after the jump, the problem may still be in the battery. When you test the battery while it is hooked up to an idling car, you are actually checking the voltage that the alternator is putting out. That should be closer to 15V. The higher voltage runs all the devices and charges the battery at the same time. If you have the means, swap the battery with a known good battery. That will tell you if the problem lies in the battery, or somewhere else in the system.
You can take the car to AutoZone or any other parts store that offers free testing. They will wheel out a test cart and hook up your car to test battery and charging system. Besides voltage, car batteries can be rated by cold cranking amps (CCA). The voltage may be fine, but the CCA may be low. It's the amps that start the car.
You can take the car to AutoZone or any other parts store that offers free testing. They will wheel out a test cart and hook up your car to test battery and charging system. Besides voltage, car batteries can be rated by cold cranking amps (CCA). The voltage may be fine, but the CCA may be low. It's the amps that start the car.