What is the effect of increasing the frequency on the impedance of a series RLC circuit?
Practice Questions
1 question
Q1
What is the effect of increasing the frequency on the impedance of a series RLC circuit?
Increases
Decreases
Remains constant
Depends on R, L, and C
The impedance (Z) of a series RLC circuit depends on the values of resistance (R), inductance (L), capacitance (C), and frequency (f). As frequency increases, the inductive reactance increases and capacitive reactance decreases, affecting the total impedance.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the effect of increasing the frequency on the impedance of a series RLC circuit?
Solution: The impedance (Z) of a series RLC circuit depends on the values of resistance (R), inductance (L), capacitance (C), and frequency (f). As frequency increases, the inductive reactance increases and capacitive reactance decreases, affecting the total impedance.
Steps: 8
Step 1: Understand that a series RLC circuit has three main components: a resistor (R), an inductor (L), and a capacitor (C).
Step 2: Know that impedance (Z) is a measure of how much the circuit resists the flow of electric current.
Step 3: Recognize that impedance depends on resistance (R), inductive reactance (XL), and capacitive reactance (XC).
Step 4: Learn that inductive reactance (XL) increases with frequency (f) and is calculated as XL = 2πfL.
Step 5: Understand that capacitive reactance (XC) decreases with frequency and is calculated as XC = 1/(2πfC).
Step 6: As frequency increases, XL goes up and XC goes down.
Step 7: The total impedance (Z) is affected by the balance between XL and XC, along with R.
Step 8: If XL is greater than XC, the total impedance increases; if XC is greater than XL, the total impedance decreases.
