It is sometimes possible to use symmetry to find the

Chapter 16, Problem 16.18

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It is sometimes possible to use symmetry to find the Fourier coefficients, even though the original function is not symmetrical! With this thought in mind, consider the function in Fig P16.4. Observe that can be divided into the two functions illustrated in Fig. P16.18(a) and (b). Furthermore, we can make an even function by shifting it units to the left.This is illustrated in Fig. P16.18(c).At this point we note that v(t) = v1(t) + v2(t) and that the Fourier series of is a single-term series consisting of Vm /2 To find the Fourier series of v2(t + T>8)we first find the Fourier series of and then shift this series units to the right.Use the technique just outlined to verify the Fourier coefficients found in 16.4.