Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 17.7, Problem 12PP
To determine
Find the Fourier coefficients for the waveform given in Figure 17.7 using PSpice.
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Can you show why the answer is that for this question using second order differential equations, instead of laplace transforms
2. For each of the following transfer functions,
G(s) = Y(s)/U(s), find the differential equation
relating the input u(t) to the output y(t).
(s+2)(s+3)
(a) G(s) =
(s+1)(s+4)
(s²+0.4s+1.04) (s+3)
(b) G(s)=
(s2+0.2s+1)(s+2)(s+4)
Don't use ai to answer I will report you answer
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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- 5. A schematic diagram of a motor connected to a load by gears is shown. Both the motor and the load are modeled as rotating masses with viscous damping. Find the transfer functions Øm/Tm and ØL/Tm. bm Jm Tm 0m N₂ N₁ OL но JL b₁arrow_forward3. Find the transfer function X2/F of the mechanical system in Figure. Κι www b₁ M₁ K2 www M2 b2 X2 F b3arrow_forwardS1(t) Es/Ts 0 S3(t) 0 Es/Ts Ts t S2(t) Es/Ts 0 Es/Ts Ts |7|2 S4(t) Es/Ts t Ts t 0 Ts Ts Ts Es/TS 2 1/ Q1(t) 42(t) Ts 1JT 0 t 0 Ts Ts 2 32 FIGURE 7.3 Set of signals and orthonormal functions for Example 7.1. 53(t)=√√Esq₁(t) S4(t)=-√E542(t) t Tsarrow_forward
- 1. For each of the following differential equations, determine the transfer function Y/U. Determine if the transfer function is proper or strictly proper. is not strictly proper, determine the strictly proper part. If it (a) y(3) = -3y(2) - 3y(1) — 2y + u(2) — - (b) y(3)=-3.5y(2) — 3.5y(1) — y +u(3) — 3.5u(2) + 3.5u(¹) + 3uarrow_forward.4. Find the transfer function Ø2/T of the mechanical system in Figure. TG K 02 b₁ b₂ b3arrow_forwardMatlab problem: 1) A BFSK signal is transmitted through a channel with AWGN. Generate similar BFSK received signal plots as shown below. (20 pts) BFSK for eb=1 and npower=0.01 with 500 samples BFSK for eb=1 and npower=0.1 with 500 samples 2.5 2.5 2 1.5 1 0.5 0 -0.5 -1 2 1.5 1 0.5 0.5 -1 -1.5 1.5 -1.5 -1 -0.5 0 0.5 1.5 2 2.5 -1.5 -0.5 0 0.5 1 1.5 2 2.5arrow_forward
- example 7.1 question EXAMPLE 7.1Consider the signals s1(t), s2(t), s3(t), and s4(t) shown in Figure 7.3. Using the Gram-Schmidt orthogonalization procedure, determine a set of orthonormal basis functions.Using the waveforms derived and shown in Example 7.1:a) Sketch the simplified block diagram of the transmitter and receiver as shown in figure 7.2b) Estimate the receive voltages for each transmit signal and for each branch in the receiver.arrow_forwardEXAMPLE 7.2 Consider the two equally-likely signals s₁ (t) and s2(t) that are transmitted, over an AWGN channel with the noise power spectral density of No/2, to represent bits 1 and 0, where we have: S1(t)=-S2(t)=√√2 exp(-2t)u(t) The receiver makes its decision solely based on observation of the received signal over a restricted interval of interest. Determine the average bit error rate in terms of Q-function, assuming the interval is [0,3]. Contrast numerically with the performance of an optimum receiver that observes. all the received signal, i.e., the interval of interest is (-∞, ∞).arrow_forward1) Compute the voltages at each receiver branch (Vo ad V₁ see block diagram next page) for each of the possible transmitted signals: Transmitted signals are generated as shown below: Binary wave in unipolar form (a) With basis functions: Inverter 41(t) Product modulator Product modulator 42(t) BFSK + signal + Si(t) P1(t)= √Eb = cos (2лfit+0₁) $2(t) 42(t)= √Eb 层 cos (2лf2t+ t+02) Generating signals: 2E Si(t) cos (2лfit+0₁), bit=0 Ть SBFSK (t) 2E |$2(t)= cos (2лf2t+02), bit=1arrow_forward
- Find the disruptive voltage and visual corona voltage for 3-phase line consisting of 2.5 cm diameter conductor spaced equilateral triangular formation of 4 m. The following data can be assumed, temperature 25°c, pressure 73 cm of mercury, surface factor 0.84, irregularity factor 0.72.arrow_forwardA 3-phase, 4-wire distributor supplies a balanced voltage of 400/230 V to a load consisting of 8 A at p.f. 0-7 lagging for R-phase, 10 A at p.f. 0-8 leading for Y phase and 12 A at unity p.f. for B phase. The resistance of each line conductor is 0.4 2. The reactance of neutral is 0.2 2. Calculate the neutral current, the suppl voltage for R phase and draw the phasor diagram. The phase sequence is RYB. VR Phasor diagramarrow_forwardThe three line leads of a 400/230 V, 3-phase, 4-wire supply are designated as R, Y and B respectively. The fourth wire or neutral wire is designated as N. The phase sequence is RYB. Compute the currents in the four wire when the following loads are connected to this supply: From R to N: 25 kW, unity power facto. From Y to N: 20 kVA, 0-7 lag. From B to N: 30 kVA, 0-6 lead.arrow_forward
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