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# Electrical Engineering

### Z transform stability determination

See attached file for problem details. 1. A system has the transfer function: H(z) = (z2-3z+1)/(z3+ z2-0.5z+0.5) Is the system stable, marginally stable, or unstable? 2. A discrete-time system is give by the input/output difference equation: y[n+2]-y[n+1]+y[n]=x[n+2]-x[n+1] Is the system stable, marginally stab

### Laplace Transforms & Transfer Functions

Compute the transfer function H(s) of the continuous-time system below given by the input/output differential equation. ________________________________________ By using the Laplace transform, compute the convolution x(t)*v(t) of the two signals where x(t)=e-tu(t) and v(t)=(sin t)u(t): Using the convolution equation,

### Laplace transform and z-transform

Please see the attached file for full problem description. 16. Compute the inverse Laplace transform of X(s) = (s + 2)/(s^2 + 7s + 12) 17. The Laplace transform of e^(-10t)*cos(3t)u(t) is 18. Use the Laplace transform to compute the solution to the differential equation defined by dy/dt + 2y = u(t) where y(0) = 0. 19

### Create and analyze continuous and discrete-time signal using MATLAB

See attached file for full description: Activity 1: Consider the discrete-time signal: x[n] = sin(2*pi*Mn/N), and assume N = 12. For M = 4, 5, and 10, plot x[n] on the interval 0 =< 0 < = 2n - 1. Use stem in Matlab to create your plots, and be sure to approximately label your axes. Questions: What is the fundamental period

### A signal's Fourier transform

I have attached some problems that I think I am working correctly. I wanted to verify the concept is correct. A signal x(t) = exp(-t)*cos(3t) is turned on at t = 0. What is its Fourier transform? Consider the signal in problem 6. What is the Fourier transform of its derivative with respect to time? What is the Fourie

### What is the voltage as a function of time, if the initial voltage is zero?

The current flowing through a 5 F capacitor is i=3e^-2t. What is the voltage as a function of time, if the initial voltage is zero? The voltage across a 2F capacitor is v = 20e^-4t volts. What is the instantaneous power?

### The Value of the Capacitor Size

An electrical supply company charges its consumers a penalty if their reactive energy consumption (Kvar-hour) exceeds half their true energy consumption (Kilowatt-hour). Calculate the value of the parallel capacitor required to be installed at the factory to avoid the penalty. I know that: Apparent power S = 32594.05 Ac

### Graphing the root locus and finding range of stability

I understand how to use Matlab to graph the loci, but I need help to understand how to graph the loci by hand. Sketch the Loci and find range of K for stability for these two problems K(s+1) ------------------ (s-1)(s^2 + 4s + 16) and K ------------------- (s-1)(s^2 + 4s + 7)

### Writing Programs for Keys and Key Combinations

Please help me write a program that will display the hex code for any key or key combination that is pressed on the keyboard. Display the key code in the center of the screen. For instance, if the key number 0 is pressed, display a 30 on the center of the screen. This code must be for the 8086 chip and work with the A86 assemble

### Real Op Amp

6. A real op amp is modeled by an ideal op amp, input bias current sources and an input offset voltage source. Given V10 = 10 mV, Ib1 = Ib2=Ib= 100 nA and R= 100 kilo-ohms a. Derive an expression for Vout as a function of V1 and V2. b. What is the value of the output voltage, Vout if both V1 and V2 are set to zero. See a

### Voltage Out and Voltage In Calculations

Notes: In the schematics, ground and chassis may be assumed to be common, unless specifically stated otherwise. Unless otherwise specified, assume that Op-Amps are ideal and that supply voltages are +/- 15 V. 3. Given that: VD1 = 0.7V at ID1= 1 mA, n = 1 for diode D1 R1 = 500 ohms, R2 = 100 ohms, and Rl = 10 kilo-ohms Vt

### Use MATLAB and simulink to solve three questions on linear time-invariant discrete-time system.

(la_7.doc) A linear time-invariant discrete-time system has transfer function H (z) = z² - z - 2 ----------- z² - 1.5z - 1 a. Use MATLAB to obtain the poles of the system. Is the system stable? Explain. b. Compute the step response using MATLAB commands like conv and residue. c. Plot the f

### MATLAB Signal Analysis for Stock Closing Price

%% see attached file for EWMA filter definition and closing price for Q csv file%% Using the closing prices for Q for the 50 business day period from March 1, 2004, up to May 10 2004, a. For the 40 day time period 11 < n < 50, compute the difference D[n]=y1[n] - y2[n] where y1[n] is the response of the 11 day EWMA filter w

### Capacitor Resonance

Show that in a resonant LCR series circuit the maximum potential across the condenser occurs at a frequency W=Wo (1-1/2(Qo)^2)^1/2, where (Wo)^2 = (LC)^-1 and Qo = Wo(L/R). See attachment for better symbol representation.

### Analyze a given transfer function by using MATLAB

Consider the system given by the following transfer function: H(s)= (242.5(s+8)/((s+2)[((s+4)^2)+81](s+10)) a. Identify the poles and zeros of the system. You may use MATLAB to help you with this if you would like. b. Is the system stable? Why or why not? c. Determine the steady-state value for the step response. d. Use S

### MATLAB Fourier Analysis of System

Use the contfft program to identify the frequency response of a system from its inputs and outputs. The program contfft is shown below.Save it as contfft.m in your current MATLAB directory as denoted at the top of the MATLAB window. (a). Generate a random input signal x(t) in MATLAB by using the command rand. In particul

### Matlab - Signal Processing

A continuous time function is seen below in figure 1. This signal is a sinc function defined as y(t) = sinc(t). T Fourier transform of this signal is a rectangle function. 1. Use the function linspace to create a vector of time values from -5<=t<=5. Next, plot the functon shown in figure 1 using the sinc function for y(t)=sin

### Matlab - Sunspot

Please be sure to enclose all plots and codes on a word document. Thanks Lab 4: Activity 1: Step 1: Download the monthly sunspot data for the 33-year period from January 1875 through December 1907. This will be a total of 396 data points. Go to http://sidc.oma.be/sunspot-data/. Under ASCII files, select monthly and monthly s

### Signals and Systems with Impulse Responses

Request assistance on how to compute impulse response h(t) for problems, see attachment for symbols and diagrams 1. Compute the impulse response h(t) for dy(t) / dt = 4y(t) = x(t) 2. Compute the impulse response h(t) for dy(t)/ dt - y(t) = dx(t)/dt - 2x(t) 3. A continuous-time system has the input/output relationship

### Matlab - A discrete-time system has the following unit-pulse response

There are two files which both need completed. Please see attached files for full problem description. Please be sure to provide code and plots. Thanks. Lab 2: 1. A discrete-time system has the following unit-pulse response: h[n] = 0.5^n - 0.25^n, for n >= 0 Correspondingly, the following difference equation desc

### Matlab work: linear time-invariant continuous system and Laplace transform

Please refer to attached. Please submit Matlab code along with plots and anwsers. Thanks. A linear time-invariant continuous-time system has the impulse response below: h(t) =[cos 2t + 4 sin 2t]u(t) (a) Determine the transfer function H(s) of the system. (b) Plot the system impulse response using MATLAB. (c) The input,

### Vertical Take Off and Landing Aircraft

For a VTOL (Vertical Take Off and Landing) aircraft, there is the following Block Diagram (see attached VTOL_BlockDiagram file). a) Find the system response for step input and determine the steady state error b) Find the variation of Kc in the stability of VTOL c) Is the system always stable? a = 0.5; b = 10; c =3

### Solid State Device Theory Exercise

Solid State Device Theory Exercise. See attached file for full problem description. 1. A semiconductor sample has the band diagram below. (a) Is this semiconductor in equilibrium? Explain. (b) Sketch the electric field versus x. (c) Roughly sketch n and p versus x. (d) Make a rough sketch of the electron drift curre

### Magnitude of ac input

Magnitude of ac input. See attached file for full problem description. FIGURE 4(a) shows the circuit of a resistive load fed from a rectifier, via a filter. The filter is designed to remove unwanted a.c. that might be present in the output of the rectifier. To test the performance of the filter, a 50 Hz alternating supply w

### Perform many calculations and show the formulas used for each step.

My school required me to pick a class outside of my field of study in Information Security and halfway through, I realize I mad a poor choice. The first half of the class was Ohms Law and a few other simple formulas and wasn't that bad. See attached for full problem description.

### Saturated and unsaturated synchronous reactance

The following readings are taken from the results of an open- and a short-circuit test on a 9375-kVA three-phase Y-connected 13,800- V (line-to-line) two-pole 60-Hz turbine generator driven at synchronous speed: _____________________________________________________________ Field current, A

### Electrical Engineering - Memory

Question 1 (a) A certain cache has an access time of 2 nanoseconds and a hit percentage of 95%. If the main memory access time is 8 nanoseconds, what is the average access time for a read operation? (b) Suppose that the code for a program fits entirely in a cache. There is a very long set of instructions contained in a loop

### transfer function of the the unity gain inverter

See attached file for full problem description. Consider the unity gain inverter made with an opamp. The opamp is ideal except A(w) = B/jw where B, the unit gain bandwidth of the opamp, is a constant (rps). Find the transfer function H(w)=V0(w)/Vs(w) as a function of A. Substitute the expression for A(w) and find the ma

### Opamp transfer function magnitude and phase

Consider the circuit. The opamp is ideal. Find the transfer function H(w)=Vo(w)/Vs(w). Find the magnitude and phase of H(w). Plot the magnitude (dB) and phase of H(w) on a Bode plot (vs log w). What type of filter is this? See attached file for full problem description.

### Electrical Engineering - Transmission Lines

Distance and Voltage. See attached file for full problem description. 1. Given that r = alpha + j*beta show that alpha and beta are given by 2. A transmission line operating at 500 Mrad/s has l = 0.5 uH/m, c = 30.8 pf/m, g = 10^-4 omg-1/m, and r = 25 omg/m. a) calculate values for r, alpha, beta, v, lamda, and z0. b)