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Electrical Engineering

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)

Logic Implementation Methods

See the attached file. 4.25 (Regular Logic Implementation Methods) You are to implement a combinational multiplier. It has two 2-bit inputs and a 4-bit output. The first 2-bit input is represented by the variables A, B; the second 2-bit input is represented by C, D. The outputs are W X, Y, Z, from the most-significant bit to

Poles of the Transfer Function

Skip (a). See attached file for full problem description. Part (b) only: Now assume that R1 = R2 = 2 kohms. Choose the values of C1 and C2 so that the transfer function has the poles indicated in figure (b) above.

Transfer function of 12.1a

See attached file for full problem description. Please do not sketch, just derive expression and determine the poles and zeros. 12.1 circuit (a) i) Derive an expression for the transfer function H(s) = V2(s) / V1(s) ii) Determine all of the poles and zeros of the transfer function.

RLC Circuit

Please answer #3 only. You really don't have to derive the diff eq for the RLC circuit because we already know its of the form: s^2LC+sRC+1 =0, where v(t) = Ae^(st), dv/dt = sAe^(st) ... ** Please see the attached file for the full problem description ** In the above circuit, you may assume that i(0) = 0 and v(0) = 0

Signal Processing Problems

1. A stationary process X(t) has power spectral density given by (see attached) This process is applied to the input of an ideal bandpass filter with a bandwidth of 2 MHz centered at 50 MHz to produce an output process Y(t). (a) Evaluate the power content of X(t). (b) Evaluate the power spectral density of Y(t). (c) Evaluat

Transform a low pass filter into a band- pass filter

See attachment for full problem description Using this low pass filter: E1 is the input and E2 is the output. Using transformation, obtain a Band Pass filter with band center of 2000 rad/sec and bandwidth B of 200 rad/sec. Draw the final circuit will all values.

Queuing problem: Single server

(a) Consider a coffee counter with a single server at which tired students arrive according to a Poisson process. Let the mean arrival rate be two students per ten minutes and assume the serving time is exponentially distributed with an average of 180 seconds per student. 1. What is the average queue length? 2. How long does

Node Voltage Method to Derive Linear Equations

Problem 6.2 only See attached file for full problem description. In the following circuit, the nodes have been labeled for you and a reference node has been selected. a) Use the node-voltage method to derive a set of linear equations that could be used to solve for the unknown node voltages va, vb, and bc in the above figur

Proving two signals are orthogonal using MATLAB

Suppose we had two functions: (See attached) How would you show that these two functions are orthogonal using MATLAB? Also, verify that these two functions are orthogonal analytically: i.e., sketch the functions, their product and find the integral of their product.

Simplifying a Circuit

Simplify the following circuit. Line A goes into an INVERTER, then into a NAND Gate, then into an OR Gate, then travels into another NOR Gate. Line B travels into the same NAND Gate, then into the same OR Gate, then into the same NOR Gate. Now Line C goes into another INVERTER, then into an AND Gate, then into the same OR Gate a

Inductance of an inductor

What is the inductance of an inductor given: Air core 100 turns Cross-section area of core is 0.01 square meter Length is 0.1 meters

Net capacitance of a capacitor

1. What is the net capacitance of a capacitor given: Relative permitivity is 500 The area is one square meter The distance between the plates is 0.001 meters

Complex Number and Complex Conjugate

Complete only 3.6. See attached file for full problem description. Let z denote a complex variable z = x + jy = re^jt The complex conjugate of z is dentoed by z* and is given by z* = x - jy = re^-jt Derive each of the following relations, where z, z1 and z2 are arbitrary complex numbers: (a) zz* = r^2 (b) z/z* = e

Sinusoidal Functions: Example Problems

Problem 3.3 only. See attached file for full problem description. Problem 3.3 Obtain the expression in the standard form Xcos(wt + a) for the real sinusoidal function x(t) corresponding to each of the complex phasors given below. a) X = -2 + j2 b) X = 1/(-2 + j2) c) X = (1 + j)^5