In a series RLC circuit, if the resistance is increased, what happens to the bandwidth of the resonance?
Practice Questions
1 question
Q1
In a series RLC circuit, if the resistance is increased, what happens to the bandwidth of the resonance?
Increases
Decreases
Remains the same
Becomes zero
Increasing the resistance in a series RLC circuit decreases the bandwidth of the resonance because the quality factor (Q) is inversely proportional to resistance.
Questions & Step-by-step Solutions
1 item
Q
Q: In a series RLC circuit, if the resistance is increased, what happens to the bandwidth of the resonance?
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.
Steps: 7
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.
