4. Consider the RC circuit depicted in below with input x(t) and output y(t). a) Write a differential-equation descripti

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4 Consider The Rc Circuit Depicted In Below With Input X T And Output Y T A Write A Differential Equation Descripti 1 (67.07 KiB) Viewed 21 times

4. Consider the RC circuit depicted in below with input x(t) and output y(t). a) Write a differential-equation description for this system and find the frequency response H(jw). O R=20 kΩ 0+ X(t) C=100 uF y(t) b) Find {ak), the Fourier series coefficients of x(t) given below, and plot its magnitude and phase. X(t) = 3 + 2 cos(0.1t) + 4 cos (0.26 - .) + cos(200t +T) c) Find {bk}, the Fourier series coefficients of y(t), and plot its magnitude and phase. Write y(t) as a Fourier series. = -