Resonance occurs where impedance vanishes, yielding huge response

Evidence

Since the two terms in equation 10.8 have opposite sign, and both depend differently on frequency, there is a special frequency—the resonant frequency—where the impedance vanishes. Without friction, which we have not yet included, the mass attains huge velocities at that frequency, making Z vanish, since the velocity is so large for the given force. … This gives the frequency f of vibration of an oscillator with mass m and force constant k, and evidently if we force it sinusoidally at this, its resonant frequency, we get a huge response—there is no resistance to movement at this one frequency. — Eric J. Heller, Why You Hear What You Hear- An…, 1003

Categorization

• XREF: Resonance as impedance-minimum connects to the reader’s knowledge of how musical instruments and rooms amplify particular frequencies. — connects to: The transindividual is a system of resonance exceeding any individual.