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In an RLC series circuit, what happens to the impedance at resonance? (2020)

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Question: In an RLC series circuit, what happens to the impedance at resonance? (2020)

Options:

  1. It is minimum
  2. It is maximum
  3. It is zero
  4. It is equal to resistance

Correct Answer: It is equal to resistance

Exam Year: 2020

Solution:

At resonance in an RLC series circuit, the impedance is equal to the resistance.

In an RLC series circuit, what happens to the impedance at resonance? (2020)

Practice Questions

Q1
In an RLC series circuit, what happens to the impedance at resonance? (2020)
  1. It is minimum
  2. It is maximum
  3. It is zero
  4. It is equal to resistance

Questions & Step-by-Step Solutions

In an RLC series circuit, what happens to the impedance at resonance? (2020)
  • Step 1: Understand what an RLC series circuit is. It consists of a resistor (R), an inductor (L), and a capacitor (C) connected in series.
  • Step 2: Know what resonance means. 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) cancel each other out. This means XL = XC.
  • Step 4: Since XL and XC cancel each other, the total impedance (Z) of the circuit is only affected by the resistance (R).
  • Step 5: Therefore, at resonance, the impedance (Z) is equal to the resistance (R) of the circuit.
  • Impedance in RLC Circuits – At resonance, the inductive and capacitive reactances cancel each other out, resulting in the total impedance being equal to the resistance.
  • Resonance Condition – Resonance occurs when the frequency of the source matches the natural frequency of the circuit, leading to maximum current flow.
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