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In a series RLC circuit, what happens to the total impedance when the circuit is

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Question: In a series RLC circuit, what happens to the total impedance when the circuit is at resonance? (2022)

Options:

  1. It is minimum
  2. It is maximum
  3. It is equal to R
  4. It is equal to L

Correct Answer: It is equal to R

Exam Year: 2022

Solution:

At resonance in a series RLC circuit, the total impedance is minimum and is equal to the resistance (R) of the circuit.

In a series RLC circuit, what happens to the total impedance when the circuit is

Practice Questions

Q1
In a series RLC circuit, what happens to the total impedance when the circuit is at resonance? (2022)
  1. It is minimum
  2. It is maximum
  3. It is equal to R
  4. It is equal to L

Questions & Step-by-Step Solutions

In a series RLC circuit, what happens to the total impedance when the circuit is at resonance? (2022)
  • 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 resonance means. Resonance occurs when the inductive reactance (XL) and capacitive reactance (XC) are equal.
  • Step 3: At resonance, the inductive reactance (XL) cancels out the capacitive reactance (XC). This means they balance each other out.
  • Step 4: When XL and XC cancel each other, the only component affecting the total impedance is the resistance (R).
  • Step 5: Therefore, at resonance, the total impedance (Z) of the circuit is at its minimum value, which is equal to the resistance (R).
  • Resonance in RLC Circuits – At resonance, the inductive and capacitive reactances cancel each other out, resulting in the total impedance being purely resistive and equal to the resistance (R).
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