Answer all parts of the questions. Giving a numerical result without showing supporting work may result in no credit being given.vs(t)7.52.50 1 2 3 tVs+120 Ωww40 ΩwwİL50 mF100 mH1. For the above waveform, derive the Fourier series representation of the waveform.2. The waveform above is applied to the input of the above circuit. Using the Fourier series derived in part 1, determine the current through the inductor i for the first 3 non-zero terms of theseries. Consider initial conditions of the capacitor and inductor to be zero.3. If the waveform is applied across a 10 resistor, calculate the exact amount of average power absorbed by the resistor.4. Calculate the average power absorbed by the 10 2 resistor from the first 3 non-zero terms of the Fourier series.5. What percentage of the total power (calculation of part 3) is delivered by the first 3 non-zero terms (calculation of part 4) of the Fourier series?

Answered: Image /qna-images/answer/b6616b45-70e0-47d7-a776-f10e481b3568.jpg

Answered: Answer all parts of the questions.…

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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It is known that a signal has a period T=πIn addition, the definition of x(t) for 1 period is given by: x(t)=(3t^2)/4 for -0.5π<t<0.5πDraw the periodic signal f(t) above.Find the Fourier series for the sign x(t) in a series of trigonometric functions (sine and/or cosine). (simple way using Euler formula)
a) giving the periodic function f (t)f (t) =Find the coefficients a0 , an and bn in the Fourier series.b) in compact form giving the periodic function f (t)f (t) =Give the phase angle Qn with the coefficients C0, Cn in the Fourier series
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).
1.Find the rms value of the voltage shown forVm=100 V.2. Estimate the rms value of the voltage, using the first three nonzeroterms in the Fourier series representation of vg(t).
Determine the Fourier coeficients a0, an, bn, and Dn of the following periodic funtion f(t):
It is known that a signal has a period T=πIn addition, the definition of x(t) for 1 period is given by: x(t)=(3t^2)/4 for -0.5π<t<0.5πDraw the periodic signal f(t) above.Find the Fourier series for the sign x(t) in a series of trigonometric functions (sine and/or cosine).
Consider the continouos time periodic signal x(t) as shown below. If A = 2 and T0 = π (pi) where the period is T0/2 x(t) = { A, -T/4<= t <= T/4; 0, T/4< t < 3T/4 } (a) Determine the complex exponential Fourier series of x(t) (b) Determine the trigonometric Fourier series of x(t) (c) Calculate the Fourier transform of the signal x(t) defined as x(t) = e-a|t| where a > 0
Obtain the Fourier series expansion of the periodic function f(t) of period 2π defined by the given. Show your solution.
Determine the following when it is subjected to a waveform shown below:a) The first five non-zero terms of the Fourier series representation of ?(?).b) Estimate the average power delivered to the 10-ohm resistor R
The periodic function f (t) in the figure is given. a)Find the coefficients a0, an, and bn of the Fourier series giving the periodic function f (t). b)Give the coefficients C0, Cn and phase angle 0n in the compact form Fourier series giving the periodic function f (t).
1 .The Fourier series coefficients for the signal shown are2. Determine and justify what type of system is the following discrete system y[n]=x[-n]
Q1/Obtain the Fourier Transform to the rectangular pulse of duration 2 second and having a magnitude of 10 volts. 2/Find the Fourier series for the periodic function giving below: x (t) (cosx, 0, {cos 0 <x <1 T <x <2T

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