Physics · Reactance and impedance, LCR series circuit, resonance, power in AC circuits, wattless current

A circuit consists of a resistor,an inductor and a capacitor connected in series

A circuit consists of a resistor,an inductor and a capacitor connected in series. If the resistance of a resistor is \( 25 \Omega \) and the value of inductive reactance is equal to capacitive reactance, then the net impedance of the circuit will be :

  • A. \( 5 \Omega \)
  • B. 25\Omega
  • C. \( 125 \Omega \)
  • D. \( 625 \Omega \)

Step-by-step solution

In a series LCR circuit, impedance Z = √(R² + (XL - XC)²). Given XL = XC, so Z = √(R²) = R = 25 Ω.
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