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What is the resonance condition in a series RLC circuit when analyzed in the frequency domain?
Question

What is the resonance condition in a series RLC circuit when analyzed in the frequency domain?

A.

The inductive reactance equals the resistance

B.

The capacitive reactance equals the resistance

C.

The inductive reactance equals the capacitive reactance

D.

The total impedance equals zero

Correct option is C

In a series RLC circuit, resonance occurs when the inductive reactance XL equals the capacitive reactance XC:XL=XCThat is:ωL=1ωCAt this frequency: The reactive parts cancel each other The circuit impedance becomes purely resistive (Z=R) Current is maximum\text{In a series RLC circuit, resonance occurs when the inductive reactance } X_L \text{ equals the capacitive reactance } X_C : \\[8pt]X_L = X_C \\[8pt]\text{That is:} \\[6pt]\omega L = \frac{1}{\omega C} \\[10pt]\text{At this frequency:} \\[6pt]\bullet \ \text{The reactive parts cancel each other} \\[4pt]\bullet \ \text{The circuit impedance becomes purely resistive } (Z = R) \\[4pt]\bullet \ \text{Current is maximum}​​

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