In a delta-connected three-phase load, which relation is true?

In a delta-connected three-phase load, which relation is true?

• A. I_line = I_phase
• B. I_line = √3 × I_phase
• C. I_line = 2 × I_phase
• D. I_phase = √3 × I_line

Answer: (B)

In a delta-connected three-phase load, the line current is the vector sum of the two phase currents connected to each line. Those phase currents are equal in magnitude and 120 degrees apart, so their phasor sum has a magnitude of √3 times the phase current. Therefore, the line current is √3 times the current in each load element. This differs from a star connection, where line current equals phase current. The other relations don’t reflect the way currents add in a delta arrangement.

In a delta-connected three-phase load, the line current is the vector sum of the two phase currents connected to each line. Those phase currents are equal in magnitude and 120 degrees apart, so their phasor sum has a magnitude of √3 times the phase current. Therefore, the line current is √3 times the current in each load element. This differs from a star connection, where line current equals phase current. The other relations don’t reflect the way currents add in a delta arrangement.