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In a series RLC circuit, at resonance, the impedance is equal to which of the fo

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Question: In a series RLC circuit, at resonance, the impedance is equal to which of the following? (2020)

Options:

  1. Zero
  2. R
  3. XL
  4. XC

Correct Answer: R

Exam Year: 2020

Solution: 

At resonance in a series RLC circuit, the impedance (Z) is equal to the resistance (R) because the inductive and capacitive reactances cancel each other out.

In a series RLC circuit, at resonance, the impedance is equal to which of the fo

Practice Questions

Q1
In a series RLC circuit, at resonance, the impedance is equal to which of the following? (2020)
  1. Zero
  2. R
  3. XL
  4. XC

Questions & Step-by-Step Solutions

In a series RLC circuit, at resonance, the impedance is equal to which of the following? (2020)
  • Step 1: Understand what a series RLC circuit is. It consists of a resistor (R), an inductor (L), and a capacitor (C) connected in a series.
  • Step 2: Know what resonance means in this context. Resonance occurs when the frequency of the source matches the natural frequency of the circuit.
  • Step 3: At resonance, the inductive reactance (XL) and capacitive reactance (XC) are equal. This means they cancel each other out.
  • Step 4: Since XL and XC cancel each other, the total impedance (Z) of the circuit is only due to the resistance (R).
  • Step 5: Therefore, at resonance, the impedance (Z) is equal to the resistance (R).
  • Resonance in RLC Circuits – At resonance, the inductive reactance (XL) equals the capacitive reactance (XC), resulting in the total impedance being purely resistive and equal to the resistance (R).
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