What is the magnitude of the line current for a delta connection?

What is the magnitude of the line current for a delta connection?

• A. ɪphase
• B. √3*ɪphase
• C. Vline
• D. Vphase

Answer: (B)

In a delta connection, the line current is related to the phase current by the relationship that states the line current is the phase current multiplied by the square root of three. This is derived from the geometry of the delta configuration, where each phase of the load is connected between the three line conductors. In a delta system, the line current can be expressed as: \[ I_{line} = \sqrt{3} * I_{phase} \] This occurs because each current flowing through the phase also contributes to the total line current seen at the terminals of the supply. Since there are three phases and the currents are 120 degrees apart, the line current ends up being the phase current multiplied by √3. This characteristic is critical for calculating the current in three-phase systems and ensures effective distribution of electrical load. The other options do not represent the relationship for the line current in a delta configuration. The phase current or voltage would not yield a line current directly, and the line voltage does not provide information on the current in this configuration. Thus, understanding the phase relationship and the √3 factor is essential for working with delta connections in three-phase power systems.

In a delta connection, the line current is related to the phase current by the relationship that states the line current is the phase current multiplied by the square root of three. This is derived from the geometry of the delta configuration, where each phase of the load is connected between the three line conductors.

In a delta system, the line current can be expressed as:

[ I_{line} = \sqrt{3} * I_{phase} ]

This occurs because each current flowing through the phase also contributes to the total line current seen at the terminals of the supply. Since there are three phases and the currents are 120 degrees apart, the line current ends up being the phase current multiplied by √3. This characteristic is critical for calculating the current in three-phase systems and ensures effective distribution of electrical load.

The other options do not represent the relationship for the line current in a delta configuration. The phase current or voltage would not yield a line current directly, and the line voltage does not provide information on the current in this configuration. Thus, understanding the phase relationship and the √3 factor is essential for working with delta connections in three-phase power systems.