Wednesday 3 June 2020

waves - Will changing amplitude change the frequency?



Will changing the amplitude change the frequency of a wave, or is it possible for a specific frequency (50 Hz. for example) to generate from shifting amplitude patterns?



Answer



It's completely possible to change the amplitude (the difference between the maximum value of the wave and the minimum) without changing the frequency.


Think this in AC, where you can have signals with different voltage but the same frequency.


To illustrate it I'll show you this for a harmonic wave: $$x(t)=Acos(\omega t+\phi)$$ You can vary the amplitude (for example, adding another wave of the same frequency and phase) and the resulting wave will be just: $$x'(t)=A'cos(\omega t+\phi)$$


Note that if we add two waves, in general, the new frequency does not need to be the same.



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