Impedance of LCR SeriesEasyQuestion 20196
Question
Impedance of a series LCR circuit is:
- AR + X_L + X_C
- B√(R² + (X_L − X_C)²)Correct
- C√(R² + X_L² + X_C²)
- 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.