Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 17, Problem 23P
Using Fig. 17.61, design a problem to help other students better understand finding the Fourier series of a periodic wave shape.
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Untitled Question *
Find the Fourier transforms of the following signals:
x(t) = 1
x(t) = e-iwot
x(t) = sin w,t
%3D
1 Add file
(a) Write the Fourier series and indicate the nth (non-zero) term for each of the waveforms (i), (ii), (iii)
and (iv).
(i) Rectangular Pulse Train
A
(ii) Triangular Waveform
A
T
(iii) Sawtooth Waveform
A
t
-A
- T
(iv) Half-wave rectified Cosine Waveform
t
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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- 3(a)Define Fourier Series. Discuss an application of Fourier series. (b) Obtain the Fourier coefficients of first three harmonics of the following periodic function: 10 -3 -2 -1 0 1 2 3 4 5arrow_forwardInstruction 1. By referring the diagram below, i. Sketch the waveform of the given functions below. f(t) = 0arrow_forwarda) Find the Inverse Fourier Transform of sin(5) F(w) = 20 SAEarrow_forward29. Determine the Fourier Transform for the wave form shown below. sin(2m (3+e} nf sin(2xf) 3-2e nf sin(2nf), 3-e (c) nf (d) None of thesearrow_forwardFourier Series problem: Consider the waveform f (t) shown below and obtain its cosine/sine Fourier Series Representation. A = 4. b. a. plot the amplitude line spectrum for the first five non-zero terms. AÅA. t (s) -6 -2 4 6 8arrow_forwardasaparrow_forwardSignals And Systems Calculate the Fourier series coefficients of the periodic wave with T = 3 given in the figure above and write the expression x (t) according to the given format.arrow_forwarda) Obtain the trigonometric fourier series notation b)Obtain the complex fourier series representation tip: you can get any impression and solve the otherarrow_forward4) Find the fourier series expansion of the periodic f(t) pulse sequence, the amplitude of which is given as 2 units in the figure. -4 -3 -2 -one 0 2 1 2 3 4 5arrow_forwardDetermine the fundamental frequency wo and Fourier series coefficients ak of the following periodic signals (a) a(t) = j+ sin (t) (b) x[n] = j+ sin (n)arrow_forward2. Determine the inverse Fourier transform of the following signals: (a) F(@) = @.e-130 (jw-2) (b) G(a)= 4 (jw+3)(j2w-3)arrow_forward5. Find the exponential Fourier series for the waveform in Fig. 5. (Periodic function) v(t) 15 V Fig.5 π 2π 3π tarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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