= 1. A rectangular pulse train f(t) shown in Figure 1 has amplitude A 1V, period...
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= 1. A rectangular pulse train f(t) shown in Figure 1 has amplitude A 1V, period To = 1 ms, and pulse width t = 0.22 ms. The rectangular pulse train has a delay of ta = 0.15 ms. The signal f(t) is applied to a circuit shown in Figure 2. The output of the circuit is y(t). The rectangular pulse train f(t) is represented by exponential Fourier series. Let R = 550 22, L = 50 mH, C = 0.03 uF. Represent angles in degrees. Figure 1 f(t) 1 €0.5 0 -2 -1.5 imm -1 C -0.5 www 0 t R y (t) 0.5 1 1.5 2 x 10-3 Figure 2 Find the magnitude |Y₁| (= Ymag) and phase ZY₁ (= Yphased) of the exponential Fourier coefficients Yn of the output y(t) for -5 ≤ n ≤ 5. Represent y(t) as a sum of the de component, the fundamental component, and the 2nd harmonic component. The coefficients must be numbers. = 1. A rectangular pulse train f(t) shown in Figure 1 has amplitude A 1V, period To = 1 ms, and pulse width t = 0.22 ms. The rectangular pulse train has a delay of ta = 0.15 ms. The signal f(t) is applied to a circuit shown in Figure 2. The output of the circuit is y(t). The rectangular pulse train f(t) is represented by exponential Fourier series. Let R = 550 22, L = 50 mH, C = 0.03 uF. Represent angles in degrees. Figure 1 f(t) 1 €0.5 0 -2 -1.5 imm -1 C -0.5 www 0 t R y (t) 0.5 1 1.5 2 x 10-3 Figure 2 Find the magnitude |Y₁| (= Ymag) and phase ZY₁ (= Yphased) of the exponential Fourier coefficients Yn of the output y(t) for -5 ≤ n ≤ 5. Represent y(t) as a sum of the de component, the fundamental component, and the 2nd harmonic component. The coefficients must be numbers.
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