When the amplitude of a waveform increases while the frequency stays the same, the waveform will exhibit changes in its shape and size. The specific characteristics of the waveform will depend on the type of wave being considered (e.g., sound wave, electromagnetic wave). However, I'll describe the general behavior that can be observed.
For a simple waveform, such as a sine wave, increasing the amplitude while keeping the frequency constant will result in a taller and more pronounced wave. The peaks and troughs of the wave will become more pronounced and stretched out vertically. The distance between consecutive peaks or troughs (the wavelength) remains the same, but the vertical displacement from the equilibrium position (the amplitude) increases.
Visually, the waveform will appear to have larger oscillations or vibrations, indicating a greater magnitude of displacement from the equilibrium. The wave's shape will maintain its basic structure, retaining the same frequency, but with larger peaks and troughs.
If the waveform is representing a sound wave, for example, an increased amplitude would correspond to a louder sound. The sound would be perceived as more intense and have a greater volume. However, it's important to note that other factors can influence how we perceive the change in amplitude, such as the distance from the source and any intervening medium through which the wave propagates.
Overall, increasing the amplitude of a waveform while keeping the frequency constant leads to a visually and perceptually larger wave with greater displacements from the equilibrium position.