FUND.OF ELECTRIC CIRCUIT(LL)-PACKAGE
6th Edition
ISBN: 9781260263794
Author: Alexander
Publisher: MCG
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Chapter 17, Problem 50P
To determine
Find the exponential Fourier series for the given function.
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Chapter 17 Solutions
FUND.OF ELECTRIC CIRCUIT(LL)-PACKAGE
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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- Type using Kepord or will dislike can anyone explain what the discussion could be make from the graphs respectively ? question : the fourier transform of the rectangular function numerically by sampling it 256 times over the time interval 0<= t < 0.2.arrow_forwardLet's examine the function g(t)= {Go for - π < t < -( π/2), {-Go for -( π/2) < t < ( π/2), {Go for ( π/2) < t < π, which is characterized by being 2 π-periodic. Firstly, without mathematical calculations, clarify why every bn value must be 0. Secondly, sketch the g(t) graph within the range of [-4 π,4 π]. Thirdly, express the Fourier expansion of g(t). Lastly, plot the g(t) using the first 3, 5, 10, 15, 20, and 25 terms of the series. At what point does the graph start resembling your initial sketch in the first question?arrow_forwardLet's examine the function g(t)= {Go for -π < t < -(π/2), {-Go for -(π/2) < t < (π/2), {Go for (π/2) < t < π, which is characterized by being 2π-periodic. Sketch the g(t) graph within the range of [-4π,4π]. Then, express the Fourier expansion of g(t). Finally, Plot using the first 3, 5, 10, 15, 20, and 25 terms of the series and tell at what point the graph starts resembling your initial sketch.arrow_forward
- Consider the following discrete time signal periodic with N?[?]=1+sin(2??)?+3cos(2??)?+cos(4???+?2)Find the Fourier series representation of ?[?], i.e. find the Fourier series coefficients ?0, ?−1, ?1, ?−2 and ?2.arrow_forwarda. Which of the following is true? The Fourier transform of a unit rectangular pulse is A. real. B. not oscillating. C. complex. D. neither real nor complex. b. Which of the following is true? For system and signal operations, the symbol “*” is typically shared between A. convolution and complex conjugate. B. linear combination and complex conjugate. C. orthogonality and complex conjugate. D. multiplication and complex conjugate. c. Which of the following is true? The Fourier transform is based on A. The Fourier series by substituting the signal x(t) into Fourier coefficient’s expression. B. The Fourier series by substituting the Fourier coefficient’s expression into a random signal which is periodic over a defined period. C. The Fourier series by substituting the Fourier coefficient’s expression into x(t). D. The Fourier series because this is a logical process.arrow_forwardI have a fourier series function f(t) = -5t 0 < t <1 10-5t 1 < t < 2 The interval here seemingly is [0,2]. Therefore, Period = L - (-L) = 2 - (-2) = 4 2L = 4 hence, L = 2. Is this the correct L value for this function?arrow_forward
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