In a delta connection, how do the phase voltage and the line voltage compare?

In a delta connection, each of the three phases is connected in a closed loop, forming a triangle shape. The key relationship in this configuration is that the line voltage, which is the voltage measured between any two lines (or phases), is equal to the phase voltage, measured across any one of the loads connected to the phases.

This is expressed mathematically as:

• Line Voltage (V_L) = Phase Voltage (V_Ph)

In simpler terms, the voltage that each load experiences (the phase voltage) is the same as the voltage between any two lines in the delta connection (the line voltage). This equality is fundamental to understanding the behavior of delta circuits in three-phase systems. Hence, they are indeed the same.