The amplitude is the highest deviation of the wave from its central or zero position. The frequency is the number of complete waves passing through a point in a second. The relation between Amplitude and Frequency for a sine wave is mathematically written as-
Wave equation
| y(t) = Asin(2πft+Φ) |
Where,
- A is the amplitude of the wave.
- y(t) is the sine wave as a function of time.
- t is time.
- f is the frequency of the wave.
- Φ is the phase of the wave. (Position of the wave at t = 0)
Relationship Between Amplitude And Frequency
Although there is no direct dependency of the frequency with amplitude or the other way around. They can be expressed individually by rearranging the terms of the wave equation.
Frequency to Amplitude Formula
We can rearrange the wave equation to express amplitude in terms of frequency and other parameters-
Amplitude to Frequency Formula
We can rearrange the wave equation to express frequency in terms of amplitude and other parameters-
Hope you understood the relation and conversion between Frequency of a wave and the Amplitude of a wave.
Physics Related Topics:
| Amplitude modulation |
| Propagation constant |
| Frequency Modulation vs Amplitude Modulation |
| Gravity waves |
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Frequently Asked Questions – FAQs
Define the frequency of a wave.
What is the relation between amplitude and frequency for a sine wave?
y(t) = Asin(2πft+Φ)
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