23 g(t) = 20cos (40xt – 4)Identify the even and odd parts of g(t).Multiple ChoiceThe even part of the function is()g-(t) =sin (40zt)The odd part of the function isgo(t) =cos (40zt)(좋)The even part of the function isge(t) =cos (40zt)The odd part of the function isgo(t) =sin (40xt)The even part of the function is()g-(t) =sin (20zt)The odd part of the function isgo(t) =cos (40zt)(#)The even part of the function isge(t) =cos (20zt)The odd part of the function isgo(t) =sin (20zt)(좋)

even part of the signal x(t) = x(t) +x(-t)2 odd part of the signal x(t) = x(t) -x(-t)2 First we will…

Answered: g(1) = 20cos (40at – ) Identify the…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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given that vc=q/C. derive the expression for q in terms of time t.
the signal x(t) = cos (360 pi t + pi/4) is sampled at 100 hz and the sampled signal is reconstructed at 200hz to recover the analog signal xr(t) a. what is the period n and digital frequency f of the sampled signal x(n) b. how many full period of x(t) are required to generate one period of x(n) c. write the expression for xr(t) ..
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).
The 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.
: If F(s) = s 4+ 5s3+20s 2 + 40s + 50 , Investigate the stability of this system
The characteristic equation of a system is given as s3+25s2+10s+50=0. What is the number of the roots in the right half s-plane and the imaginary axis respectively?
For the circuit shown below, the initial conditions are zero, Idc is a current source continuous and switch S is open at t = 0.a)Determine the equivalent impedance to the right of points a and b of the circuit, Z(s).b)Obtain the voltage between points a and b of the circuit in the frequency domain, V(s). Employ the initial and final value properties and calculate the values of v(0) and v(∞).c)Find the expression for v(t). Check that the values of v(0) and v(∞) agree with those calculated in the previous item.d)Obtain currents i1(t) and i2(t).
s ( 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)
A system has the following characteristic equation: s + s + 3 + 2s + 2 = 0 Using the Routh-Hurwitz method, check
GIven 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 zeros
In case the sound from the engine of a vehicle is modelled by the function y(t) = cos[ω(t + τ) + θ] where time delay=τ & phase=θ Determine the frequency & period of the signal u(t) whena)[ω, τ, θ] = [π/3, 1/2, π/2]b)[ω, τ, θ] = [3π/4, 1/2, π/4] N.b time should be in seconds & frequency in Hertz. c) y(t) = e-atu(t) for t≥0 & y(t) = 0 for t<0 where a>0 is a constant The function above defines the model of the decay of the vibration of a vehicle engine. i.Make a sketch of the signal y(t) & determime its fourier transform.
100 y(t)+ y (t) = X(t) for a system defined by a first-order differential equation:a. Draw the log magnitude(dB)-log frequency graph of H (jw) (phase graph is not requested. it is expected that the frequency axis will also be logarithmic when plotting the log magnitude graph).b. If the magnitude of H(jw) is -40 dB, it is assumed that the input is suppressed. it is given that the signal X (t) = coswat is suppressed by this system. What is the smallest wa value in this case?

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