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# Amplitude Formula

The amplitude of a variable is a measure of its change over a single period. The maximum height observed in the wave is called as Amplitude. It is denoted by A and is given in decibels (dB). The sine wave is represented as

Where A is amplitude and $\omega$ is angular frequency. The Amplitude Formula is given by
Where D is the distance traveled by the wave and
F is the frequency of the wave.

Amplitude Formula is used to the amplitude of the given wave if its distance and frequency are known.

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## Amplitude Problems

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Below are given some problems based on amplitude which may be helpful for you.

### Solved Examples

Question 1: Find the amplitude of the wave if the wave is represented by y = 5 sin $\omega$ t ?
Solution:

Given: y = 5 sin $\omega$ t
The equation is of the form y = A sin $\omega$ t. Hence the amplitude is A = 5.

Question 2: Find the amplitude of the wave if a wave travels a distance of 0.5 m and has a frequency of 5 Hz.
Solution:

Given: Distance D = 0.5 m, Frequency f = 5 Hz
The amplitude is given by A = $\frac{D}{F}$
= $\frac{0.5}{5}$
= 0.1 decibels.

*AP and SAT are registered trademarks of the College Board.