What is the relationship between line voltage and phase voltage in a star connected system

In a star-connected system, the line voltage is higher than the phase voltage by a factor of √3. This means that if the phase voltage is Vph, then the line voltage would be √3 x Vph. This relationship can be explained by the fact that in a star-connected system, each phase is connected to a common neutral point, which results in a voltage drop across each phase. When measuring the voltage across two phases, the voltage drop across each phase combines and results in a higher line voltage.