MHB Complex wave forms and fundamentals.... Very very stuck

[JPorkins]

Hi,

My teacher tasked me with a complex waveform question, i have looked for some time to find out how to tackle these, but i still do not know where to begin.
Any help would be greatly appreciated, not look for an answer just a method.

$$i=12sin(40*\pi t) + 4sin(120* \pi t - /3\pi) + 2sin(200 \pi t + /2\pi)$$
determine the
amplitude of the fundamental
the frequency of the fundamental
The order of harmonic components
amplitude of harmonic components
the phase angle of harmonic components

Thanks,
Jack

 

[I like Serena]

Hi,

My teacher tasked me with a complex waveform question, i have looked for some time to find out how to tackle these, but i still do not know where to begin.
Any help would be greatly appreciated, not look for an answer just a method.

$$i=12sin(40*\pi t) + 4sin(120* \pi t - /3\pi) + 2sin(200 \pi t + /2\pi)$$
determine the
amplitude of the fundamental
the frequency of the fundamental
The order of harmonic components
amplitude of harmonic components
the phase angle of harmonic components

Thanks,
Jack

Hi Jack,

Which definitions does your course material give for those?
And what does your course material say on how to find them?

As a starting point, $\sin(t)$ has a period of $2\pi$, so that $\sin(k t)$ has a period of $\frac{2\pi}{k}$.
Which periods do the respective sine terms have?
Note that if one is a multiple of another, their sum has a period that is equal to the largest one.