When two frequencies resonate together, the resulting phenomenon depends on the specific system and the interaction between the frequencies. Generally, in a resonant system, the amplitudes or powers of the resonating frequencies tend to increase compared to when they are not in resonance with each other. This is known as resonance amplification.
Resonance occurs when the natural frequency of a system matches the frequency of an external force or input. When the frequencies align, energy transfer between the system and the input becomes more efficient, leading to an increase in the response of the system. This effect is often observed in mechanical, electrical, and acoustic systems.
Here are a few examples that demonstrate the effect of resonance on amplitude or power:
Mechanical Resonance: In mechanical systems, such as a swing or a tuning fork, resonance can occur when an external force is applied at the natural frequency of the system. When the force is in sync with the natural frequency, the amplitude of the system's vibrations increases significantly. This effect is utilized, for example, in musical instruments like guitars, where the strings resonate at their natural frequencies when plucked or strummed.
Electrical Resonance: In electrical circuits, resonance can occur when the frequency of an applied alternating current (AC) matches the natural frequency of the circuit. At resonance, the voltage or current amplitude increases due to a decrease in impedance within the circuit. This effect is employed in various applications, such as radio tuning circuits and resonance inductor-capacitor (LC) circuits.
Acoustic Resonance: In the case of sound waves, resonance can occur when the natural frequency of a resonating object matches the frequency of an external sound wave. For example, when a singer hits the resonant frequency of a wine glass with their voice, the glass can shatter due to the amplified vibrations caused by resonance.
It's important to note that resonance amplification is specific to the frequencies involved and the properties of the resonating system. Other frequencies that do not align with the resonant frequency may not experience the same amplification and may even exhibit damping or cancellation effects.