Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 17, Problem 51P
To determine
Design a problem to make better understand of determining the exponential Fourier series of a given periodic function.
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A periodic continuous time signal x(t) with period T0=9 is shown in Figure-1.a. Calculate the Fourier Series representation of x(t), find the Fourier Seriescoefficients.b. Calculate the Fourier Series representation of the following signals:x(t-1)x(-t)dx/dt
Hello. I keep getting confused on this problem as I am new to Fourier series. Could you help me to solve this probelm?
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A periodic function is represented by a Fourier series that has afinite number of terms. The amplitude and phase spectra are shown in(a) and (b), respectively.
Is the current an even or odd function of t?
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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- Give proper explanation Please help with this question about the Fourier series. Show your solution and how to find a time period.arrow_forwardHelp appreciated with this Fourier series waveform. Thanksarrow_forwardFourier Expansions of Periodic Waveforms given in the Figures. Find it. Show on the amplitude-frequency axis. f=1/T 2nf=w a) b) f(t) T f(t) for -V Tarrow_forward
- Derive and write the Fourier Series at least six non-zero terms for the waveform as shown in the given figurearrow_forwardQ#3: What are the Fourier coefficients? How does Fourier series make it easier to represent periodic signals? What is the impulse response and how it is used for Fourier analysis? Explain in detail. i)arrow_forwardFind the Fourier transform for the following waveform. need only handwritten solution .otherwise downvote.arrow_forward
- The fourier sine series of k in (0,pi) is ...arrow_forwardAssume that there is a Fourier series converging to the function f(t) defined by the graph below -3 a. Determine the period and the mathematical function of the f(t). b. Determine if the above function is an even or odd function c. Determine the coefficients in this Fourier series. d. Use Matlab to plot the fourier series function and overlay it to the the original function. Select the number of terms n corresponding to your last 2 digits of your NIM.arrow_forwardThree periods of a signal are shown below. Calculate the Fourier series coefficients of the signal using Fourier series properties SIMPLIFY YOUR RESULT TO THE SIMPLEST FORMarrow_forward
- Need help finding the Fourier series please...arrow_forwardAn odd periodic function, when decomposed into Fourier series none of the other three given answers is the correct one. has sine components exclusively has a constant component has cosine components exclusively A Click Submit to complete this assessment.arrow_forwardItem 3 Calculate the Fourier Series of Periodic Functions from the given figure. Find the Amplitude and spectra. Find the Vo(t) response of the circuit. 42 4 ww- 2H vo(t) -4 -3 -2 -101 3 4 5 6 t T =... a,... a =... b = Fourier Series (t) = .... Amplitude and Phase spectra = when n = 1,2,3,4,5,..(graph) %3D O =...... The response Vo(t)=..when n= 1,2,3,4,5,... 2.arrow_forward
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