In a series RLC circuit, what happens to the total impedance at resonance?
Practice Questions
1 question
Q1
In a series RLC circuit, what happens to the total impedance at resonance?
It is minimum
It is maximum
It is equal to R
It is equal to XL + XC
At resonance in a series RLC circuit, the total impedance (Z) is equal to the resistance (R) because the inductive and capacitive reactances cancel each other out.
Questions & Step-by-step Solutions
1 item
Q
Q: In a series RLC circuit, what happens to the total impedance at resonance?
Solution: At resonance in a series RLC circuit, the total impedance (Z) is equal to the resistance (R) because the inductive and capacitive reactances cancel each other out.
Steps: 6
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: Know what impedance (Z) means. Impedance is the total opposition to the flow of current in the circuit, which includes resistance and reactance.
Step 3: Learn about resonance. Resonance occurs in a circuit when the frequency of the source matches the natural frequency of the circuit.
Step 4: At resonance, the inductive reactance (XL) and capacitive reactance (XC) are equal. This means they cancel each other out.
Step 5: Since XL and XC cancel each other, the total impedance (Z) at resonance is only due to the resistance (R).
Step 6: Therefore, at resonance, the total impedance (Z) is equal to the resistance (R).
