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The impedance of an RLC circuit is minimum when which condition is satisfied? (2

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Question: The impedance of an RLC circuit is minimum when which condition is satisfied? (2022)

Options:

  1. XL = XC
  2. R = 0
  3. R = XL
  4. R = XC

Correct Answer: XL = XC

Exam Year: 2022

Solution: 

The impedance (Z) of an RLC circuit is minimum when the inductive reactance (X_L) equals the capacitive reactance (X_C), which is the condition for resonance.

The impedance of an RLC circuit is minimum when which condition is satisfied? (2

Practice Questions

Q1
The impedance of an RLC circuit is minimum when which condition is satisfied? (2022)
  1. XL = XC
  2. R = 0
  3. R = XL
  4. R = XC

Questions & Step-by-Step Solutions

The impedance of an RLC circuit is minimum when which condition is satisfied? (2022)
  • Step 1: Understand what impedance (Z) means in an RLC circuit. Impedance is the total opposition to current flow in the circuit.
  • Step 2: Know that an RLC circuit consists of a resistor (R), an inductor (L), and a capacitor (C).
  • Step 3: Learn about reactance. Inductive reactance (X_L) is the opposition to current due to the inductor, and capacitive reactance (X_C) is the opposition due to the capacitor.
  • Step 4: Recognize that the impedance is minimum when the effects of the inductor and capacitor cancel each other out.
  • Step 5: This cancellation happens when the inductive reactance (X_L) equals the capacitive reactance (X_C).
  • Step 6: This condition is known as resonance in the circuit.
  • Resonance in RLC Circuits – The condition where the inductive reactance equals the capacitive reactance, resulting in minimum impedance.
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