1. Make sure the alternator is properly installed. If the alternator is not properly installed, it may not be able to generate enough power to keep the car running. Check to make sure that the alternator is securely mounted and that all of the electrical connections are properly made.
2. Check the battery. If the battery is old or damaged, it may not be able to hold a charge. This could cause the car to shut off when the jumper cables are removed. Try jump-starting the car again with a known-good battery. If the car starts and stays running, then the battery may be the problem.
3. Check the voltage regulator. The voltage regulator is responsible for controlling the amount of voltage that the alternator produces. If the voltage regulator is faulty, it may not be able to properly regulate the voltage, which could cause the car to shut off. Check the voltage regulator to make sure that it is working properly.
If you have checked all of the above and the car still shuts off when you take the jumper cables out, then you may need to take it to a mechanic for further diagnosis.
Here are some additional tips for troubleshooting this issue:
* If the car is running rough or if the lights are flickering, then this could be a sign that the alternator is not working properly.
* If the battery is boiling over or if the battery terminals are corroded, then this could be a sign that the battery is damaged.
* If you have a voltmeter, you can check the voltage at the battery terminals. The voltage should be between 13.5 and 14.5 volts when the car is running. If the voltage is too low or too high, then this could be a sign of a problem with the alternator or the voltage regulator.