Difficulty: Easy
Correct Answer: True
Explanation:
Introduction / Context:Before three-phase became dominant, two-phase systems (quadrature-phase) were used in early power and control applications. Understanding their geometry helps with quadrature signal generation used today in communications and motor control (e.g., rotating fields from orthogonal windings).
Given Data / Assumptions:
Concept / Approach:
Two coils displaced by 90° electrical experience flux linkages that peak at times differing by a quarter cycle. The induced EMFs are equal in magnitude (ideally) and shifted by ±90°, forming a two-phase system suitable for certain motors and signal-processing tasks.
Step-by-Step Solution:
Place coil A and coil B with 90° electrical separation on the stator.Rotate the magnetic field past both coils; apply Faraday's law to each coil.Obtain Va = Vp∠0°, Vb = Vp∠−90° (or +90°).Result: orthogonal voltage set enabling a revolving magnetic field.Verification / Alternative check:
Phasor representation shows perfect quadrature. In vector control of AC machines, similar orthogonal components (d–q axes) are synthesized electronically.
Why Other Options Are Wrong:
Requiring 120° is a three-phase property, not two-phase. Rotor type is irrelevant to the quadrature requirement; the electrical separation defines the phase relationship.
Common Pitfalls:
Mixing mechanical with electrical degrees in multi-pole machines; overlooking amplitude balance due to winding factors.
Final Answer:
True.
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