Question

Why does amplitude increase at resonance?

Answer 1

Amplitude increase at resonance is:

1. Consider a body that is vibrating with its natural frequency and amplitude, and when a periodic external force is applied to it with a frequency equal to the natural frequency of the body, the amount of total energy on the body increases, resulting in an increase in the amplitude of the body, a phenomenon known as resonance.
2. While resonator bodies have greater amplitudes, this external force reduces the damping of the resonating body and lessens the damping as the amplitude of the body increases.
3. The Quality factor, abbreviated as Q-factor, is a dimensionless metric that measures the ratio of initial energy stored in resonators to the energy consumed in the previous cycle. The Q-factor is commonly used to research the nature of resonating bodies.
4. $Q\text{factor}=\frac{{\text{Energy}}_{stored}}{E_{\text{dissipated}}}$
5. The higher a resonator's Quality factor, the higher its resonance frequency, and hence the body's resonance amplitude.