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In a series RLC circuit, if the resistance is increased, what happens to the ban

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Question: In a series RLC circuit, if the resistance is increased, what happens to the bandwidth of the resonance?

Options:

  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Correct Answer: Decreases

Solution: 

Increasing the resistance in a series RLC circuit decreases the bandwidth of the resonance because the quality factor (Q) is inversely proportional to resistance.

In a series RLC circuit, if the resistance is increased, what happens to the ban

Practice Questions

Q1
In a series RLC circuit, if the resistance is increased, what happens to the bandwidth of the resonance?
  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Questions & Step-by-Step Solutions

In a series RLC circuit, if the resistance is increased, what happens to the bandwidth of the resonance?
  • Step 1: Understand what a series RLC circuit is. It consists of a resistor (R), inductor (L), and capacitor (C) connected in series.
  • Step 2: Know what resonance means in this context. Resonance occurs at a specific frequency where the circuit can oscillate with maximum amplitude.
  • Step 3: Learn about bandwidth. Bandwidth is the range of frequencies around the resonance frequency where the circuit can still operate effectively.
  • Step 4: Recognize that resistance (R) affects how quickly the energy is lost in the circuit. Higher resistance means more energy is lost.
  • Step 5: Understand the quality factor (Q). Q is a measure of how 'sharp' the resonance is. A higher Q means a narrower bandwidth, while a lower Q means a wider bandwidth.
  • Step 6: Realize that Q is inversely proportional to resistance. This means that as resistance increases, Q decreases.
  • Step 7: Conclude that if resistance increases, the bandwidth of the resonance decreases because the circuit becomes less sharp in its resonance.
  • Resonance in RLC Circuits – The behavior of a series RLC circuit at its resonant frequency, including the effects of resistance on bandwidth and quality factor.
  • Quality Factor (Q) – A measure of the sharpness of the resonance peak, which is inversely related to resistance in a series RLC circuit.
  • Bandwidth – The range of frequencies over which the circuit can effectively operate, which is affected by the resistance in the circuit.
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