In a series RLC circuit, what happens to the impedance at resonance? (2021)

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Question: In a series RLC circuit, what happens to the impedance at resonance? (2021)

Options:

Correct Answer: Minimum

Exam Year: 2021

Solution:

At resonance in a series RLC circuit, the impedance is at a minimum.

In a series RLC circuit, what happens to the impedance at resonance? (2021)

In a series RLC circuit, what happens to the impedance at resonance? (2021)

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 resonance means. Resonance occurs when the frequency of the applied voltage matches the natural frequency of the circuit.
Step 3: At resonance, the inductive reactance (XL) and capacitive reactance (XC) cancel each other out. This means XL = XC.
Step 4: When XL and XC cancel, the total impedance (Z) of the circuit is only due to the resistor (R).
Step 5: Since the impedance is only R at resonance, it is at its minimum value compared to other frequencies.

Impedance in RLC Circuits – At resonance, the inductive and capacitive reactances cancel each other out, resulting in the impedance being purely resistive and at its minimum value.