Zaymiey

⚛️ Physics  ·  Alternating Current  ·  NEET & JEE

In an LCR circuit at resonance, impedance:

Answer: Equals R (minimum).

  • A Is maximum during normal conditions
  • B Equals R (minimum)
  • C Equals L/C as generally observed
  • D Is zero in typical laboratory settings

Correct answer: B. Equals R (minimum)

Explanation: At resonance: XL = XC, so they cancel. Z = sqrt(R<sup>2</sup> + (XL-XC)<sup>2</sup>) = sqrt(R<sup>2</sup>) = R. Minimum impedance = R.

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.

Read the full Alternating Current notes →