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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 response H(jw). + x(t) description for this system and find the frequency M R=20 ΚΩ C=100 µF + y(t) 6 。 b) Find {a}, the Fourier series coefficients of x(t) given below, and plot its magnitude and phase. x(t) = 3 + 2 cos(0.1t) + 4 cos (0.2t -) + cos(200t +™) c) Find (bk), the Fourier series coefficients of y(t), and plot its magnitude and phase. Write y(t) as a Fourier series.

4. Consider the RC circuit depicted in below with input x(t) and output y(t). a) Write a differential-equation response H(jw). + x(t) description for this system and find the frequency M R=20 ΚΩ C=100 µF + y(t) 6 。 b) Find {a}, the Fourier series coefficients of x(t) given below, and plot its magnitude and phase. x(t) = 3 + 2 cos(0.1t) + 4 cos (0.2t -) + cos(200t +™) c) Find (bk), the Fourier series coefficients of y(t), and plot its magnitude and phase. Write y(t) as a Fourier series.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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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 description for this system and find the frequency response H(jw). + x(t) M R=20 kΩ C=100 µF + y(t) b) Find {a}, the Fourier series coefficients of x(t) given below, and plot its magnitude and phase. x(t) = 3 + 2 cos(0.1t) + 4 cos (0.2t − 1) + cos(200t +π) - c) Find {b}, the Fourier series coefficients of y(t), and plot its magnitude and phase. Write y(t) as a Fourier series.
Transcribed Image Text: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). + x(t) M R=20 kΩ C=100 µF + y(t) b) Find {a}, the Fourier series coefficients of x(t) given below, and plot its magnitude and phase. x(t) = 3 + 2 cos(0.1t) + 4 cos (0.2t − 1) + cos(200t +π) - c) Find {b}, the Fourier series coefficients of y(t), and plot its magnitude and phase. Write y(t) as a Fourier series.
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