Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 17.2, Problem 3P
(a)
To determine
The Fourier series for the given voltage waveforms.
(b)
To determine
The Fourier series for the given voltage waveform.
(c)
To determine
The Fourier series for the given voltage waveform.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Step functions can be used to define a window function. Thusu(t −1)−u(t−4) defines a window 1 unit high and 3 units wide located on the time axis between 1 and 4. A function f(t) is defined as follows: f(t)=0,t≤0;=−20t,0≤t≤1 s= −20,1 s≤t≤2 s=2 cosπ2t,2 s≤t≤4 s;=100−20t,4 s≤t≤5 s=0,5 s≤t<∞.
1. Sketch f(t) over the interval −1 s≤t≤6 s.
2. Use the concept of the window function to write an expression for f(t).
a) Show whether the following signals are periodic, if so find the fundamental periods. x [n] = 4 * cos (0.3π * n) + 3 * sin ^ 2 (0.2π * n) x (t) = 2 * cos (10π ^ 2 * t) + sin (3π * t)
b) Show whether the system given the input-output relation y (t) = βx (t) + u (t) is linear, memoryless, time invariant, causal and stable. Here β is constant.
It is given that f(t)=t3 over the interval –2<t<2 s.
Construct a periodic function that satisfies this f(t) between −2 sand +2 s, has a period of 8 s, and has half-wave symmetry.
Chapter 17 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 17.1 - Let a third-harmonic voltage be added to the...Ch. 17.1 - A periodic waveform f(t) is described as follows:...Ch. 17.2 - Prob. 3PCh. 17.2 - Prob. 4PCh. 17.3 - Prob. 5PCh. 17.3 - Prob. 6PCh. 17.4 - Prob. 7PCh. 17.5 - Prob. 8PCh. 17.5 - Prob. 9PCh. 17.6 - Prob. 10P
Ch. 17.6 - Prob. 11PCh. 17.7 - Prob. 12PCh. 17.7 - Prob. 13PCh. 17.8 - Find (a) F5sin23t); (b) FAsin20t); (c)...Ch. 17.9 - Prob. 15PCh. 17.10 - Prob. 16PCh. 17 - Determine the fundamental frequency, fundamental...Ch. 17 - Plot multiple periods of the first, third, and...Ch. 17 - Calculate a0 for the following: (a) 4 sin 4t; (b)...Ch. 17 - Prob. 4ECh. 17 - Prob. 5ECh. 17 - Prob. 6ECh. 17 - Prob. 7ECh. 17 - With respect to the periodic waveform sketched in...Ch. 17 - Prob. 9ECh. 17 - Prob. 10ECh. 17 - A half-sinusoidal waveform is shown in Fig. 17.31,...Ch. 17 - Plot the line spectrum (limited to the six largest...Ch. 17 - Prob. 13ECh. 17 - Prob. 14ECh. 17 - Prob. 15ECh. 17 - Prob. 16ECh. 17 - Prob. 17ECh. 17 - Prob. 18ECh. 17 - The nonperiodic waveform g(t) is defined in Fig....Ch. 17 - Prob. 20ECh. 17 - Prob. 21ECh. 17 - Prob. 22ECh. 17 - Prob. 23ECh. 17 - Prob. 24ECh. 17 - Prob. 25ECh. 17 - Prob. 26ECh. 17 - Prob. 27ECh. 17 - Prob. 28ECh. 17 - Prob. 29ECh. 17 - Prob. 30ECh. 17 - Prob. 31ECh. 17 - Prob. 32ECh. 17 - Prob. 33ECh. 17 - Prob. 34ECh. 17 - Prob. 35ECh. 17 - Prob. 36ECh. 17 - Use the Fourier transform to obtain and plot the...Ch. 17 - Prob. 38ECh. 17 - Prob. 39ECh. 17 - Prob. 40ECh. 17 - For g(t) = 3etu(t), calculate (a) G(j); (b) ().Ch. 17 - Prob. 42ECh. 17 - Prob. 43ECh. 17 - Prob. 44ECh. 17 - Prob. 45ECh. 17 - Prob. 46ECh. 17 - Find F(j) if f(t) is given by (a) 2 cos 10t; (b)...Ch. 17 - Prob. 48ECh. 17 - Prob. 49ECh. 17 - Prob. 50ECh. 17 - Prob. 51ECh. 17 - Prob. 52ECh. 17 - Prob. 53ECh. 17 - If a system is described by transfer function h(t)...Ch. 17 - Prob. 55ECh. 17 - (a) Design a noninverting amplifier having a gain...Ch. 17 - Prob. 57ECh. 17 - Prob. 58ECh. 17 - Prob. 59ECh. 17 - Prob. 60ECh. 17 - Prob. 61ECh. 17 - Prob. 62ECh. 17 - Design an audio amplifier with gain of 10, using...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Communication system Let's consider a communication system where four signals with different frequencies f1, f2, f3, and f4) are combined to form a single composite signal. The composite signal is represented by the equation: s(t) = 3 sin(500m (k, x t) + T/6) + 4 sin (10007 (kz × t) + T/4) + 2 sin(1500t (k3 X t) + T/3) + 5 sin(2000m(k. X t) + /2) Given the scaling factors: kg = 0.8, kz = 1.6, k3 = 2.4, and k4 = 3.2. Determine the fundamental frequencyarrow_forwardgiven that vc=q/C. derive the expression for q in terms of time t.arrow_forwardA)Perform the N=5 point circular convolution of x and h using DFT. B)Perform the N=5 point circular convolution of x and h in time-domain.arrow_forward
- a) f(t) = 5 −3 sin(πt) sin (2πt) −sin(πt) cos (πt) on the interval [−1,1]. b) f(t) = cos (πt + π/3)+ sin (3π/2*(t) + π/6) on the interval [−2,2].arrow_forwardConvert the following expressions to real-imaginary form: jj, e jπ .arrow_forwardThe mathematical models of some continuous time systems are given above. x(t) is the input signal of the system, and y(t) is the output signal of the system. Which of the following systems is linear and which is nonlinear? For linear systems, write "linear" in the space next to the option. For non-linear systems, write "non-linear" in the space next to the option.arrow_forward
- Obtain the value of I1, if M=1/√2H, and the circuit is in steady state at t = 0.arrow_forwardGIven the difference equation:y(n)=0.0899x(n)+0.0257x(n−1)−0.0257x(n−2)−0.0899x(n−3)+1.6148y(n−1)−1.9395y(n−2)+1.2807y(n−3)−0.5852y(n−4)Solve the following:1.) The system function, H(z)2.) Poles and zerosarrow_forwardA non-periodic signal, s(t), is described as follows: s(t) = 1 for 0 ≤ t ≤ 1 sec s(t) = 0 otherwise. Find out an expression for the magnitude of the frequency spectrum, S(f), for s(t).arrow_forward
- a) Y(ω) = 1/(5+jω) The expression above defines the frequency domain signal Y(ω) from a time domain signal y(t) i) Determine the imaginary & real parts of Y(ω). ii.Determine the signal y(t) that produced the signal Y(ω). b)What are the 3 areas of application of i.Signals ii.Systems c) Briefly summarise with explanation the difference between discrete & continuous time signal and also write an expression that describes each signal type.arrow_forwards ( s+1 ) ( s+2) (s+3)+k =0 Draw the root-locus curves of the characteristic equation . (Note: Find the equation that gives the separation points of the root locus curves, but without solving the equation, give roughly the location of these points on the axis)arrow_forwardThe response of a system, h(t) is given as in Figure 1 below where the amplitudeof this signal is 7. Then,this system is excited by an input of x(t) = (u(t) × (u(-t)+u(t))) /1. 1)Illustrate the input signal, x(t). 2)Calculate the convolution output of the system y(t) = x(t) ∗ h(t). Nextdetermine y(t) when t is 1 sec 2)Prove the solution in Q2 is comparable when solving in frequency domain(Laplace). Next, sketch the signal for convolution output.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Types of Systems; Author: Neso Academy;https://www.youtube.com/watch?v=IRdDcSO_fQw;License: Standard youtube license