Final answer:
Yes, In most aircraft, engines will continue to run with the alternator and battery master switches off, though this results in the loss of all electrical systems. Pilots are trained to manage this scenario.
Step-by-step explanation:
Depending on the engine type and design, engines may still run after the alternator and battery master switches are turned off, but for the purposes of this discussion, we'll focus on a typical aviation scenario. Most aircraft use an alternator to generate electricity to run on-board systems and charge the battery once the engine has started. The engine of a typical aircraft runs independently of the electrical system, so it will continue to run even if the alternator and battery master switches are turned off during flight. All electrical systems, however, will stop working. Critical systems like engine management systems, navigation, and lighting, if they are electric, will not function, making this situation unsustainable. The risk of a full electrical failure is significant, which is why pilots are trained to handle such situations promptly and safely.