In a series RLC circuit, at resonance, what is the relationship between inductiv

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Question: In a series RLC circuit, at resonance, what is the relationship between inductive reactance and capacitive reactance?

Options:

Correct Answer: X_L = X_C

Solution:

At resonance in a series RLC circuit, the inductive reactance (X_L) equals the capacitive reactance (X_C), hence X_L = X_C.

In a series RLC circuit, at resonance, what is the relationship between inductive reactance and capacitive reactance?

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.

Resonance in RLC Circuits – At resonance, the frequency of the circuit causes the inductive and capacitive reactances to cancel each other out, resulting in maximum current flow.