(Solved): Write the first three terms of the Fourier Equation of a rectangular pulse waveform as shown in fig ...
Write the first three terms of the Fourier Equation of a rectangular pulse waveform as shown in figure below. Also, find the dc component of this waveform if the peak-to-peak amplitude is \( 10 \mathrm{~V} \) and a frequency is \( 100 \mathrm{k} \mathrm{Hz} \). Also find the peak value of the third component. [20] \[ \begin{aligned} t(n)=\frac{V_{0}}{T} &+\frac{2 V_{0}}{T}\left[\frac{\sin \frac{\pi t_{0}}{T}}{\frac{\pi t_{0}}{T}} \cos \frac{2 \pi t_{0}}{T}\right.\\ &\left.+\frac{\sin \frac{2 \pi t_{0}}{T}}{\frac{2 \pi t_{0}}{T}} \cos \frac{4 \pi t_{0}}{T}+\frac{\sin \frac{3 \pi t_{0}}{T}}{\frac{3 \pi t_{0}}{T}} \cos \frac{6 \pi t_{0}}{T}+\ldots\right] \end{aligned} \]