QUESTION 3a) Determine the Fourier series ao, an and bn of the periodic signal, x(t), illustratedin Figure Q3(a). Then, calculate the first 3 non-zero harmonics of the series.b)where wo =-Tx(t) =ii.x(t)anAKnowing that the values of A = 1 and T = 4, put x(t) under the form:n=3+Σ an cos(nwot) + bn sin(nwot)n=1T4T2-AFigure Q3(a): Periodic signalc)The signal x(t) as described in b) is applied to a circuit whose transfer functionis given by:Y(s)0.25sH(s) = =x(s) 1 +0.25swhere X(s) and Y(s) are the Laplace transfer functions of the input x(t) and theoutput y(t) of the circuit, respectively.i.Determine the gain and the phase of the circuit.Find then the output of the circuit y(t). Explain and reflect on the results.

Answered: Image /qna-images/answer/bef54141-7af0-4cff-ab5a-7063542f3204.jpg

QUESTION 3 a) Determine the Fourier series ao, an and b₁ of the periodic signal, x(t), illustrated in Figure Q3(a). Then, calculate the first 3 non-zero harmonics of the series. where wo = -T x(1) b) Knowing that the values of A = 1 and T = 4, put x(t) under the form: n=3 x(t) =+a, cos(not) + b sin(not) n=1 -A Figure Q3(a): Periodic signal ii. c) The signal x(t) as described in b) is applied to a circuit whose transfer function is given by: Y(s) H(s) = X(s) 0.25s 1+0.25s where X(s) and Y(s) are the Laplace transfer functions of the input x(t) and the output y(t) of the circuit, respectively. i. Determine the gain and the phase of the circuit. Find then the output of the circuit y(t). Explain and reflect on the results.

QUESTION 3 a) Determine the Fourier series ao, an and b₁ of the periodic signal, x(t), illustrated in Figure Q3(a). Then, calculate the first 3 non-zero harmonics of the series. where wo = -T x(1) b) Knowing that the values of A = 1 and T = 4, put x(t) under the form: n=3 x(t) =+a, cos(not) + b sin(not) n=1 -A Figure Q3(a): Periodic signal ii. c) The signal x(t) as described in b) is applied to a circuit whose transfer function is given by: Y(s) H(s) = X(s) 0.25s 1+0.25s where X(s) and Y(s) are the Laplace transfer functions of the input x(t) and the output y(t) of the circuit, respectively. i. Determine the gain and the phase of the circuit. Find then the output of the circuit y(t). Explain and reflect on the results.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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