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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?

Options:

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

Correct Answer: Decreases

Solution:

In a series RLC circuit, increasing the resistance decreases the bandwidth 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?
  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?
  • 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 bandwidth means. Bandwidth is the range of frequencies over which the circuit can operate effectively.
  • Step 3: Learn about the quality factor (Q). Q is a measure of how underdamped an oscillator or resonator is, and it is related to the sharpness of the resonance peak.
  • Step 4: Recognize that the quality factor (Q) is inversely proportional to resistance (R). This means that as resistance increases, Q decreases.
  • Step 5: Understand that a lower Q value means a wider bandwidth. Therefore, if resistance increases, the bandwidth decreases.
  • Bandwidth in RLC Circuits – The bandwidth of a series RLC circuit is the range of frequencies over which the circuit can operate effectively, and it is influenced by the resistance, inductance, and capacitance.
  • Quality Factor (Q) – The quality factor (Q) is a dimensionless parameter that describes how underdamped an oscillator or resonator is, and it is inversely proportional to resistance in a series RLC circuit.
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