Final answer:
The neutral wire in a grounded system ensures safety by maintaining a potential of zero volts relative to the earth and provides a return path for current, but it can be omitted if not required for voltage, leaving the grounding system as the alternative return path.
Step-by-step explanation:
If the neutral in a grounded system is not needed for voltage requirements, it can remain disconnected and the system will still function; however, it is important to note that the neutral connection provides an additional safety factor by ensuring the neutral wire is at zero volts relative to the earth.
This safety measure is significant as it ensures that any part of the electrical system that a person might come into contact with remains at a safe potential, thereby reducing the risk of electrical shock. In many systems, the neutral also serves as a return path for current to complete the electrical circuit, and although a circuit can function without it if alternative return paths are available, such as the grounding system, the inclusion of a neutral wire enhances the safety and reliability of the electrical system.