In a series RLC circuit, what condition must be met for resonance to occur? (202

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Question: In a series RLC circuit, what condition must be met for resonance to occur? (2021)

Options:

Correct Answer: XL = XC

Exam Year: 2021

Solution:

For resonance in a series RLC circuit, the condition XL = XC must be met.

In a series RLC circuit, what condition must be met for resonance to occur? (2021)

In a series RLC circuit, what condition must be met for resonance to occur? (2021)

Step 1: Understand that a series RLC circuit consists of a resistor (R), an inductor (L), and a capacitor (C) connected in a single loop.
Step 2: Know that in this circuit, the inductor has a property called inductive reactance (XL) and the capacitor has a property called capacitive reactance (XC).
Step 3: Recognize that resonance occurs when the effects of the inductor and capacitor balance each other out.
Step 4: The condition for this balance is that the inductive reactance (XL) must equal the capacitive reactance (XC).
Step 5: Therefore, for resonance to occur in a series RLC circuit, you need to have XL = XC.

Resonance in RLC Circuits – Resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC), resulting in maximum current flow in the circuit.