AC Electric Circuits
Delta and Wye 3-Phase Circuits
15 questions By Tony R. Kuphaldt
-
Question 1 of 15
Label where each of the following electrical quantities would be found in both the “Y” and “Delta” three-phase configurations:
- Phase voltage
- Line voltage
- Phase current
- Line current

In which circuit (Y or Delta) are the phase and line currents equal? In which circuit (Y or Delta) are the phase and line voltages equal? Explain both answers, in terms that anyone with a basic knowledge of electricity could understand.
Where phase and line quantities are unequal, determine which is larger.
Reveal answer
- Y configuration
- Iphase = Iline
- Vphase < Vline
- Delta configuration
- Vphase = Vline
- Iphase < Iline
Follow-up question: how do Kirchhoff’s Voltage and Current Laws explain the relationships between unequal quantities in “Y” and “Delta” configurations?
Notes:Your students will need to know what “phase” and “line” represents in both types of polyphase configurations, especially when using formulae that reference quantities by these labels.
-
Question 2 of 15
Explain the difference between a balanced polyphase system and an unbalanced polyphase system. What conditions typically cause a polyphase system to become unbalanced?
Reveal answerA “balanced” polyphase system is one where all line voltages are equal to each other, and all line currents are also equal to each other. “Unbalanced” conditions usually stem from unsymmetrical loads, although severe imbalances may be caused by faults in the system.
Notes:Ask your students which type of three-phase system (balanced or unbalanced) is easier to analyze, and why that is so.
-
Question 3 of 15
In a balanced Y-connected power system, calculate the phase voltage (Ephase) if the line voltage (Eline) is 480 volts.
Reveal answerEphase = 277 V
Notes:More important than obtaining the correct answer is for students to explain what they did to get that answer. What general calculation may be applied to balanced, Y-connected systems relating phase and line voltages?
Related Tools:
- Electrical Conduction in Semiconductors
- Performance-Based Assessments for Digital Circuit Competencies


Great information I’m sure, but the answers with diagrams can’t be read. They are blurry if you try to enlarge them and they aren’t on the PDF. Please resolve at your convenience.