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In a series RLC circuit, what happens to the total impedance at resonance?

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Question: In a series RLC circuit, what happens to the total impedance at resonance?

Options:

  1. It is minimum
  2. It is maximum
  3. It is equal to R
  4. It is equal to XL + XC

Correct Answer: It is equal to R

Solution: 

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

In a series RLC circuit, what happens to the total impedance at resonance?

Practice Questions

Q1
In a series RLC circuit, what happens to the total impedance at resonance?
  1. It is minimum
  2. It is maximum
  3. It is equal to R
  4. It is equal to XL + XC

Questions & Step-by-Step Solutions

In a series RLC circuit, what happens to the total impedance at resonance?
  • 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 single loop.
  • Step 2: Know what impedance (Z) means. Impedance is the total opposition to the flow of current in the circuit, which includes resistance and reactance.
  • Step 3: Learn about resonance. Resonance occurs in a circuit when the frequency of the source matches the natural frequency of the circuit.
  • Step 4: At resonance, the inductive reactance (XL) and capacitive reactance (XC) are equal. This means they cancel each other out.
  • Step 5: Since XL and XC cancel each other, the total impedance (Z) at resonance is only due to the resistance (R).
  • Step 6: Therefore, at resonance, the total impedance (Z) is equal to the resistance (R).
  • Impedance in RLC Circuits – Understanding how impedance behaves in series RLC circuits, particularly at resonance where inductive and capacitive reactances cancel.
  • Resonance Condition – The condition in which the inductive reactance equals the capacitive reactance, leading to a specific frequency where the circuit behaves differently.
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