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⚛️ Physics  ·  Alternating Current  ·  NEET & JEE

If the frequency of AC is doubled, how does X<sub>L</sub> change?

Answer: Doubles.

  • A Doubles
  • B Halves
  • C Stays same
  • D Quadruples

Correct answer: A. Doubles

Explanation: X<sub>L</sub> = 2πfL. If f doubles, X<sub>L</sub> doubles. Conversely, X<sub>C</sub> = 1/(2πfC) halves when f doubles.

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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