At the resonant frequency, which statement about capacitive and inductive reactances is true?

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Multiple Choice

At the resonant frequency, which statement about capacitive and inductive reactances is true?

At the resonant frequency the inductive and capacitive reactances balance each other. The inductive reactance is X_L = 2πfL and the capacitive reactance is X_C = 1/(2πfC). There exists a frequency f0 where their magnitudes are equal, X_L = X_C (though one is positive and the other negative in sign). When this happens, the reactive part of the impedance cancels, so the net reactance is zero and the impedance becomes purely resistive. That is why the correct statement is that they are equal in magnitude at resonance.

At the resonant frequency the inductive and capacitive reactances balance each other. The inductive reactance is X_L = 2πfL and the capacitive reactance is X_C = 1/(2πfC). There exists a frequency f0 where their magnitudes are equal, X_L = X_C (though one is positive and the other negative in sign). When this happens, the reactive part of the impedance cancels, so the net reactance is zero and the impedance becomes purely resistive. That is why the correct statement is that they are equal in magnitude at resonance.

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