Zaymiey

⚛️ Physics  ·  Alternating Current  ·  NEET & JEE

In an AC circuit, V<sub>rms</sub> = 200 V, I<sub>rms</sub> = 5 A and the power factor is 0.8. The average power consumed is:

Answer: 800 W.

  • A 500 W
  • B 640 W
  • C 800 W
  • D 1000 W

Correct answer: C. 800 W

Explanation: P = V<sub>rms</sub>·I<sub>rms</sub>·cosφ = 200·5·0.8 = 800 W.

V and I Phase Relationships in AC CircuitsPure Inductor: I lags V by 90°VIPure Capacitor: I leads V by 90°VIMemory aid "ELI the ICE man": in an inductor (L) E(V) leads I; in a capacitor (C) I leads E(V)For a pure resistor, V and I stay perfectly in phase (no lag or lead at all)

In a pure inductor the current lags the voltage by 90° (energy is briefly stored in the magnetic field before current responds); in a pure capacitor the current leads the voltage by 90° (current must flow to build up charge before voltage rises) - the mnemonic "ELI the ICE man" keeps these straight.

Concept context

AC circuits, impedance, LCR series circuit, resonance, transformers, and power factor.

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