In a series RLC circuit, at resonance, what is the relationship between inductiv
Practice Questions
Q1
In a series RLC circuit, at resonance, what is the relationship between inductive reactance and capacitive reactance?
X_L > X_C
X_L < X_C
X_L = X_C
X_L + X_C = 0
Questions & Step-by-Step Solutions
In a series RLC circuit, at resonance, what is the relationship between inductive reactance and capacitive reactance?
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 reactance. Inductive reactance (X_L) is the opposition to current flow caused by the inductor, while capacitive reactance (X_C) is the opposition caused by the capacitor.
Step 3: Know what resonance means. Resonance occurs in the circuit when the frequency of the source matches the natural frequency of the circuit.
Step 4: At resonance, the effects of the inductor and capacitor cancel each other out.
Step 5: This cancellation means that the inductive reactance (X_L) is equal to the capacitive reactance (X_C).
Step 6: Therefore, at resonance, we can say X_L = X_C.
