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AExE01 · Chapter 1Basic Electrical & Electronics🏛️ Past Licensure QuestionID: 8a84ecbb

In a balanced three-phase star connection, line voltage (VL) and phase voltage (VP) are related as:

Multiple Choice Options

A
VL = VP
B
VL = √3 VP
✓ Correct Option
C
VP = √3 VL
D
VL = 3 VP

Detailed Technical Solution & Explanation

In a balanced three-phase star (Wye) connection, line voltage is the vector difference between two phase voltages spaced 120° apart. Geometrically, $V_L = 2 V_{ph} \cos(30°) = \sqrt{3} V_{ph} \approx 1.732 V_{ph}$ . Line current equals phase current ( $I_L = I_{ph}$ ).

Option Analysis:

•

Option A (VL = VP): Incorrect. True for delta connections, not star.

•

Option B (VL = √3 VP): Correct. In star connection, line voltage is

\sqrt{3}

times phase voltage.

•

Option C (Incorrect. Phase voltage is smaller):

V_{ph} = V_L / \sqrt{3}

•

Option D (VL = 3 VP): Incorrect.

Reference: Demo · Set 4NEC Licensure Syllabus

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