Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 17.6, Problem 10PP
Obtain the complex Fourier series of the function in Fig. 17.1.
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what is the definition and sketches and equations of the Analysis of Circuits (applications of the Fourier transforms)
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Chapter 17 Solutions
Fundamentals of Electric Circuits
Ch. 17.2 - Find the Fourier series of the square wave in Fig....Ch. 17.2 - Determine the Fourier series of the sawtooth...Ch. 17.3 - Prob. 3PPCh. 17.3 - Find the Fourier series expansion of the function...Ch. 17.3 - Prob. 5PPCh. 17.4 - Prob. 6PPCh. 17.4 - If the input voltage in the circuit of Fig. 17.24...Ch. 17.5 - The voltage and current at the terminals of a...Ch. 17.5 - Find the rms value of the periodic current i(t) =...Ch. 17.6 - Obtain the complex Fourier series of the function...
Ch. 17.6 - Obtain the complex Fourier series expansion of...Ch. 17.7 - Prob. 12PPCh. 17.8 - Rework Example 17.14 if the low-pass filter is...Ch. 17 - Which of the following cannot be a Fourier series?...Ch. 17 - If ft=t,0t,ft+n=ft, the value of 0 is (a) 1 (b) 2...Ch. 17 - Which of the following are even functions? (a) t +...Ch. 17 - Prob. 4RQCh. 17 - Prob. 5RQCh. 17 - If f(t) = 10 + 8 cos t + 4 cos 3t + 2 cos 5t + ,...Ch. 17 - Prob. 7RQCh. 17 - The plot of |cn| versus n0 is called: (a) complex...Ch. 17 - Prob. 9RQCh. 17 - Prob. 10RQCh. 17 - Evaluate each of the following functions and see...Ch. 17 - Using MATLAB, synthesize the periodic waveform for...Ch. 17 - Given that Fourier coefficients a0, an, and bn of...Ch. 17 - Find the Fourier series expansion of the backward...Ch. 17 - Prob. 5PCh. 17 - Find the trigonometric Fourier series for f t =...Ch. 17 - Determine the Fourier series of the periodic...Ch. 17 - Using Fig. 17.51, design a problem to help other...Ch. 17 - Determine the Fourier coefficients an and bn of...Ch. 17 - Find the exponential Fourier series for the...Ch. 17 - Obtain the exponential Fourier series for the...Ch. 17 - Prob. 12PCh. 17 - Prob. 13PCh. 17 - Find the quadrature (cosine and sine) form of the...Ch. 17 - Express the Fourier series...Ch. 17 - The waveform in Fig. 17.55(a) has the following...Ch. 17 - Prob. 17PCh. 17 - Prob. 18PCh. 17 - Obtain the Fourier series for the periodic...Ch. 17 - Prob. 20PCh. 17 - Prob. 21PCh. 17 - Calculate the Fourier coefficients for the...Ch. 17 - Using Fig. 17.61, design a problem to help other...Ch. 17 - Prob. 24PCh. 17 - Determine the Fourier series representation of the...Ch. 17 - Find the Fourier series representation of the...Ch. 17 - For the waveform shown in Fig. 17.65 below, (a)...Ch. 17 - Obtain the trigonometric Fourier series for the...Ch. 17 - Prob. 29PCh. 17 - Prob. 30PCh. 17 - Prob. 31PCh. 17 - Prob. 32PCh. 17 - Prob. 33PCh. 17 - Prob. 34PCh. 17 - Prob. 35PCh. 17 - Prob. 36PCh. 17 - If the periodic current waveform in Fig. 17.73(a)...Ch. 17 - Prob. 38PCh. 17 - Prob. 39PCh. 17 - The full-wave rectified sinusoidal voltage in Fig....Ch. 17 - Prob. 42PCh. 17 - The voltage across the terminals of a circuit is...Ch. 17 - Prob. 44PCh. 17 - A series RLC circuit has R = 10 , L = 2 mH, and C...Ch. 17 - Prob. 46PCh. 17 - Prob. 47PCh. 17 - Prob. 48PCh. 17 - Prob. 49PCh. 17 - Prob. 50PCh. 17 - Prob. 51PCh. 17 - Prob. 52PCh. 17 - Prob. 53PCh. 17 - Find the exponential Fourier series for the...Ch. 17 - Obtain the exponential Fourier series expansion of...Ch. 17 - The Fourier series trigonometric representation of...Ch. 17 - Prob. 57PCh. 17 - Find the exponential Fourier series of a function...Ch. 17 - Prob. 59PCh. 17 - Obtain the complex Fourier coefficients of the...Ch. 17 - The spectra of the Fourier series of a function...Ch. 17 - Prob. 62PCh. 17 - Plot the amplitude spectrum for the signal f2(t)...Ch. 17 - Prob. 64PCh. 17 - Prob. 65PCh. 17 - Prob. 66PCh. 17 - Prob. 67PCh. 17 - Prob. 68PCh. 17 - Prob. 69PCh. 17 - Design a problem to help other students better...Ch. 17 - Prob. 71PCh. 17 - Prob. 72PCh. 17 - Prob. 73PCh. 17 - Prob. 74PCh. 17 - Prob. 75PCh. 17 - Prob. 76PCh. 17 - Prob. 77CPCh. 17 - Prob. 78CPCh. 17 - Consider the full-wave rectified sinusoidal...Ch. 17 - Prob. 82CP
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- Which of the statements given below is false? A) Harmonics of a voltage or current are found with the help of fourier analysis B) In Fourier analysis of double symmetry current waveform sin (wht) harmonics are zero C) None D) In the current waveform with half-wave symmetry, even harmonics are zero E) In most power electronics circuits, the higher the harmonic frequency, the higher the harmonic amplitude.arrow_forward(a) By using Fourier Transform properties and your approach of modeling the signals, determine the Fourier Transform of the signal given in Fig. 1. Do not use Fourier Integral directly. 91(t) C1 Ci t -C1 Figure 1: The signal for Q, Part a. (b) Analyze the Fourier Transform of the signal given in the the previous part. List the properties you expected, and the properties that the Fourier Transform has. For example, one case would be if the Fourier Transform is conjugate symmetric. (c) For the system given in Fig. 2, determine the Fourier Transform of the system, i.e., system transfer function. (d) For the system given in Fig. 3, determine the Fourier Transform of the output if the input is r(t) = sin(2nc,10t)arrow_forwardDetermine the complex exponential Fourier transform for the following periodic signal shown. x(t) even A -To/2 To/2 -A x(t) -To -To/2 To/2 Toarrow_forward
- Write the mathematical expression of the periodic signal given below. Calculate and plot the Fourier Transform X (jw) of periodic signal given below. 2 WWW- ... ... -1 -2 -2.5 -2 -1.5 -1 -0.5 0.5 1 1.5 2 2.5 t (sec) (1) xarrow_forwardDetermine the Fourier transform of the following signals Thanksarrow_forward1) Determine the complex exponential Fourier transform for the following periodic signal shown. i) x(t) -To/2 To/2 -Aarrow_forward
- Topic: Discrete Fourier Series (DFS) Make a detailed explanation of every step and how it works.arrow_forwardQ2) Explain the i) ii) iii) The difference between power signal and energy signal (with equations) Parsival Theorem The Fourier seriesarrow_forwardProvide own examples on Fourier Series odd and Even function and show the solutionarrow_forward
- Fourier Analysis of Discrete and Continuous Time Signals and Systems Problem: Select only one.arrow_forwardWhich of the following is considered an efficient algorithm for finding the discrete Fourier transfer?arrow_forwardFor each of the periodic signal shown in Fig. C Fourier series and sketch the amplitude and phase spectra. If either the sine or cosine terms are absent in the Fourier series, explain why. find the compact trigonometric -8x -6n -4x - 2n 2n 4T 6n (c)arrow_forward
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