The output voltage of a transistor switching circuit is described by the following Fourier series:
v=(2/π)∑[[((-1)^n) /n][cos(nπ/2)-1]sin(nπt/2)] (for n=1 to∞) 1. What is the amplitude of the second harmonic of this voltage? 2. What is the DC component of this voltage? 3. What is the fundamental frequency of the output

Question

The output voltage of a transistor switching circuit is described by the following Fourier series: 
v=(2/π)∑[[((-1)^n) /n][cos(nπ/2)-1]sin(nπt/2)]   (for  n=1 to∞)                                                1.  What is the amplitude of the second harmonic of this voltage?                                                              2. What is the DC component of this voltage?                                                             3.  What is the fundamental frequency of the output

anonymous · Answer

The amplitude is the =(2/π)∑[[((-1)^n) /n] term.... plug in n = 2 for the 2nd harmonic
The DC component is the one that does not vary in time
The angular frequency is nπ/2 = 2πf To get the fundamental frequenct set n = 1 and solve for f