Power Factor — Predicted 2026
AI-Predicted Question Angles for UPSC 2026
Calculation of Power Factor in RLC Series Circuit
highThis is a perennial favorite. Questions will provide R, L, C values and frequency, asking for the power factor. Students need to calculate $X_L$, $X_C$, then $Z$, and finally $cos phi = R/Z$. The complexity might vary by including a combination of components or asking for the power factor at a specific frequency, potentially near resonance. Mastery of impedance calculation is key here.
Conceptual Questions on Leading/Lagging Power Factor and Circuit Nature
mediumNEET often tests conceptual understanding. Questions might describe a circuit's behavior (e.g., current leads voltage) or provide a power factor value (e.g., 0.8 leading) and ask about the dominant component (capacitive/inductive) or the phase angle. Understanding the implications of $phi > 0$ vs $phi < 0$ and their relation to $X_L$ and $X_C$ is vital. Questions about power factor correction (adding capacitors to inductive loads) also fall into this category.
Power Factor at Resonance and Special Cases
highThe condition of resonance in an RLC circuit is a critical concept, and its direct consequence on the power factor (unity) is a frequent test point. Similarly, the power factor for purely resistive, inductive, or capacitive circuits are fundamental and often appear as direct recall questions or as parts of multi-concept problems. These are 'easy marks' if the concepts are clear, but common traps if confused.
Relationship between Real, Reactive, and Apparent Power
mediumQuestions might provide two of the three power types (P, Q, S) or one power type and the power factor, asking for the third. This requires using the power triangle relationships ($S^2 = P^2 + Q^2$, $P = S cos phi$, $Q = S sin phi$). This tests the understanding of the components of total power and their vector nature.