What is the effect of increasing the resistance in a series RLC circuit on the Q factor?
Practice Questions
1 question
Q1
What is the effect of increasing the resistance in a series RLC circuit on the Q factor?
Increases Q factor
Decreases Q factor
No effect
Doubles Q factor
Increasing resistance decreases the Q factor, which is defined as Q = ωL/R.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the effect of increasing the resistance in a series RLC circuit on the Q factor?
Solution: Increasing resistance decreases the Q factor, which is defined as Q = ωL/R.
Steps: 5
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: Learn about the Q factor. The Q factor (Quality factor) measures how underdamped an oscillator or resonator is, and it is defined as Q = ωL/R.
Step 3: Identify the variables in the Q factor formula. Here, ω (omega) is the angular frequency, L is the inductance, and R is the resistance.
Step 4: Recognize that increasing the resistance (R) in the formula will affect the Q factor. Since Q is inversely proportional to R, increasing R will decrease Q.
Step 5: Conclude that as resistance increases, the Q factor decreases, meaning the circuit becomes less efficient at resonating.
