In Y-connected systems, which is greater, line voltages or phase voltages?

In a Y-connected (or star-connected) system, the line voltages are indeed greater than the phase voltages. The relationship between line voltages and phase voltages can be understood through the geometry of the phase relationships in a three-phase system.

In a Y-connection, each phase voltage is measured from the neutral point to the respective phase conductor. The line voltage, on the other hand, is the voltage measured between any two line conductors. The mathematical connection is derived from the vector representation of the voltages in a three-phase system. The line voltage is related to the phase voltage by the equation:

Line Voltage = √3 × Phase Voltage

This relationship indicates that the line voltage is approximately 1.732 times the phase voltage in a balanced three-phase system. Therefore, it is clear that the line voltages are greater than the phase voltages, confirming that the correct answer reflects this fundamental concept of three-phase power systems. Understanding this relationship is crucial for anyone working with electrical systems, as it affects how voltages are calculated and managed in practical applications.