What type of three-phase connection exists if the line current equals the phase current?

In a Wye connection, also known as a Star connection, the line current is equal to the phase current because of the configuration of the connection. In a Wye connection, each phase is connected to a common neutral point, and the phase currents flow directly from the source through each load connected to that phase. As a result, since each load is directly attached to its corresponding phase, the line current effectively equals the phase current.

This relationship is vital in understanding the behavior of three-phase systems, especially when it comes to calculating power and analyzing circuit performance. In contrast, in a Delta connection, the phase current differs from the line current due to the triangular configuration where the load is connected across each pair of line connections, causing the line current to be greater than the phase current. Parallel connections apply to circuits with multiple paths for current, which does not accurately reflect the relationship between line and phase currents in a three-phase system. Thus, in this context, identifying Wye as the correct type of connection when line current equals phase current is crucial for proper analysis and application in electrical engineering.