please help 1) 40%↑f(t)1T2Ta) List all symmetries applicable to the periodic function shown above.b) Find the Fourier series for f(t).c) Using the formula for the rms value of a periodic function, show that=81n²n=1,3,5...[Hint: first find the rms value directly in the time domain (easy), then make use of the frequency domainformula.]-5

a) The symmetries applicable to the periodic function shown above are:Even symmetry: f(t) =…

Answered: 1) 40% ↑f(t) 1 T 2T a) List all…

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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1. Estimate the rms value of the full-wave rectified sinusoidal voltageshown in (a) by using the first three nonzero terms inthe Fourier series representation of v(t).2. Calculate the percentage of error in the estimation.3. Repeat (a) and (b) if the full-wave rectified sinusoidal voltage isreplaced by the half-wave rectified sinusoidal voltage shown in (b).
Obtain the Fourier series expansion of the periodic function f(t) of period 2π defined by the given. Show your solution.
Consider a continuous time periodic signal ?(?) with fundamental period 8 and Fourier series coefficients in the image If the signal is real valued and other Fourier series coefficients are zero, express the signal in the following form in the image
A power signal depending on time t is written P (t) = P0cos (ωt) cos (ωt), with P0 in watts (W) and t in s (seconds). What are the amplitudes of the non-zero harmonics in the real Fourier spectrum of this signal (i.e. corresponding to the amplitudes an and bn)?Please choose at least one answer:.
Consider the periodic signal ?(?) given by the expression x(t) = (2 + 2j)[e^(−j3t)] – 3j[e^(−j2t)] + 5 +3j(e^(j2t) + (2 – 2j)e^(j3t) . a) What is the fundamental frequency of x(t)? b) Find and plot the magnitude and phase of the Fourier series coefficients as a function of frequency. c) Is x(t) a real signal? Why? d) Compute the total power of x(t) using Parseval’s relation.
Put (TRUE) or (FALSE) and say why : - Fourier series is only applicable for periodic signals.
Be able to calculate the trigonometric form of the Fourier coefficients for a periodic waveform Derive the expressions for av, ak, and bk for the periodic voltagefunction shown if Vm=9π V.
Answer the following four questions according to the following signal below: 1)the frequency of the signal? 2)the period of the signal? 3)frequencies exists in the frequency spectrum of signal? 4)expressions of the Fourier series expansion of this signal?
Derive the compact trigonometric Fourier series for the waveform
1.Given i(t)=2|sint|, determine the period, To, and the angular frequency, ωo of the signal shown in Figure Q1.1.2.Determine if the signal in Figure Q1.1 is odd or even. Explain your answer. 3.Derive the trigonometric Fourier series for the current, i(t) shown in FigureQ1.1.
Fourier series sine of a periodic sign and sums of the cosine signs written in terms of definable. Mark from this definition; a. Write the Fourier series expansion. b. Fourier series coefficients with the trigonometric method how Show that it is calculated. c. Moment and bn for single and even signals both coefficients Should it be calculated? Why is that? D. 1volt amplitude and a square wave to Fourier series how many pieces you want to open sine and cosine sign should you use it? Why is that? Explain.
Given a periodic signal in the picture below: determine: 1. the fundamental period of the signal T0 2. The mathematical expression of x(t) for one period 0 < t < T0 3. The complex fourier series coefficients Xn/Ck of the signal x(t) 4. the real fourier series representation of x(t) in summation form

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