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 44P
To determine
Design a problem to make better understand on finding the rms voltage across and rms current through an electrical element given a Fourier series for both current and voltage and also find the average power delivered to the element and the power spectrum.
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find RMS value of signal using formula of RMS value for any periodic signal.
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A.Determine the rms value of the waveform.
B. Given that the waveform forms the input of a circuit of resistance 5ohms, write the Fourier expression for the current flowing in the circuit. Hence determine its rmsvalue.
C. The circuit, in “e” is modified by including a 15.92mH inductor in series with the resistor. What is the power factor of the new circuit?
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.
Calculate the rms value of the current in milliamperes.
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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- Write the Fourier expression for the first six non-zero sinusoidal terms for the waveform shown in the figure. Write the simplified Fourier series expression substituted value of the angular frequency and sketch the frequency domain representation of the harmonics for the waveform.arrow_forward"i" i. 159 ii. Figure #3 The circuit shown in Figure #3 is supplied by the unfiltered output "v" of a full wave rectifier circuit. The Fourier expression of the voltage is given by: v = 60 + 54.08Coswt +11.18Cos3wt + 5.22Cos5wt+... 13.26 mH ww If the frequency of the AC input to the rectifier is 60 Hz, determine An expression for the current flowing through the circuit The power factor of the circuit.arrow_forwardFourier theory states that any sinusoidal signal may be represented or analyzed as the sum of a fundamental sine wave at the signal frequency plus odd, even, or odd plus even nonharmonic sine waves of different phases and amplitudes. True Falsearrow_forward
- Help appreciated with this Fourier series waveform. Thanksarrow_forward2. A non-sinusoidal signal is given below for one period. V(wt) Vm 5 5 wt - 5 5 Express the fourier series of the wave shown in the following figure by considering the symme- tries. Draw the harmonic spectrum for the first six harmonic components.arrow_forwardQues. 5: Find the exponential Fourier series for a rectified sine wave.arrow_forward
- 1.what is the current at each branch 2. what is the voltage at each node and power at one load answer by using Fourier Series) please sir do not recject it answer try to gave any answerarrow_forwardFor a function shown in the image, draw the spectrum in frequency so that the 5 harmonics are shown and indicate the value of said harmonicsarrow_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
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