What is the impedance of a series circuit with a resistor of 4Ω and an inductor

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Question: What is the impedance of a series circuit with a resistor of 4Ω and an inductor of 3Ω at resonance? (2020)

Options:

Correct Answer: 4Ω

Exam Year: 2020

Solution:

At resonance, the impedance is equal to the resistance, which is 4Ω.

What is the impedance of a series circuit with a resistor of 4Ω and an inductor of 3Ω at resonance? (2020)

What is the impedance of a series circuit with a resistor of 4Ω and an inductor of 3Ω at resonance? (2020)

Step 1: Understand that in a series circuit with a resistor and an inductor, the total impedance is affected by both components.
Step 2: Know that at resonance, the inductive reactance and capacitive reactance cancel each other out.
Step 3: Realize that at resonance, the impedance of the circuit is equal to the resistance only.
Step 4: Identify the resistance value given in the question, which is 4Ω.
Step 5: Conclude that at resonance, the impedance of the circuit is 4Ω.

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