In a delta wired system, how is the line voltage related to the phase voltage?

In a delta wired system, the line voltage is equal to the phase voltage. This relationship stems from the configuration of the delta connection, where each phase is connected between two line terminals. In this arrangement, the voltage across each phase (also known as the phase voltage) is the same as the line voltage because each line connects to the points where the phases meet.

Understanding the delta configuration is crucial because it forms a closed loop where each leg of the triangle represents a phase, and the vertices represent the connection points for the line voltages. This results in both the line voltage and phase voltage being the same, leading to the conclusion that the values are equal.

By recognizing this key characteristic of a delta connection, it becomes clear why the other options are not applicable. The line voltage cannot be greater than the phase voltage, less than it, or half of it in a delta system; such relationships apply in different configurations or circumstances, such as in a wye (star) connection. Thus, it’s essential to visualize and memorize the relationships and configurations of these systems to better understand their operations.