JEE Physics · Easy

Electromagnetic Induction and Alternating Current: Impedance of LCR Series MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Impedance of LCR SeriesEasyQuestion 20196

Question

Impedance of a series LCR circuit is:
  1. A
    R + X_L + X_C
  2. B
    √(R² + (X_L − X_C)²)
    Correct
  3. C
    √(R² + X_L² + X_C²)
  4. D
    (X_L − X_C)/R

Correct answer

√(R² + (X_L − X_C)²)

Explanation

Z = √[R² + (X_L − X_C)²]. Resistance and reactance add in quadrature (phasor addition) — only the net reactance (X_L − X_C) adds in quadrature with R.