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Electrical Engineering

Frequency Domain Design

Find the relationship between the phase margin (on the Inverse Nichols Chart) and the damping of the closed loop poles (Full problem description found in attached .doc file)

PI controller and Nyquist analysis

(Complete problem with equations found in attachment) Problem 1 A very common industrial controller is the proportional and integral (PI) controller. It has a transfer function, , kp is the proportional gain, Ti is the "reset time" For an integrating process, P(s) = 2/s, investigate the positive root locus for

State space model of a biological conservation system

A game reserve has two grass fields separated by a crocodile infested river. Buck live on both sides of the river... Conserved Variable = State Variables which are defined... See attached file for full problem description.

Using the Node Equation

If I were to use the node equation, how do I go about including the dependent sources in the equation. Please view the attachment.

Solving an Equation with Complex Numbers

Solve the equation z^2+z+1=0 using z=(x,y) and the basic definitions. (Hint: Note that y does not equal 0 because the equation X^2+X+1 does not equal 0 for any real number x.) a. z1=--1+j(Sqrt3)/2 and z2=-1/2-j(Sqrt3)/2 b. z1=-1/2+j(Sqrt3)/2 and z2=-1/2-j(Sqrt3)/2 c. z1=-1/3+j(Sqrt3)/2 and z2=-j(Sqrt3)/2 d. z1=3/2+j(Sqrt3)

Solving a Complex Number Equation

Solve the equation z^2= -1 using z=(x,y) and the basic definitions. a. z=(0,2),(0,-2) b. z=(1,0),(-1,0) c. z=(4,0),(-1,0) d. z=(0,1),(0,-1)

Speedup and Efficiency

Question: Given 100 processors for a computation with 5% of the code that cannot be paralleled, compute the speedup and efficiency.

SEC Code Check Bits

How many check bits are needed for a SEC code for an initial word size of 1024?

Saturated NPN Transistor

A saturated npn transistor has a base to emitter applied voltage of 0.6V. The collector to emitter voltage is 0.2V. The collector current is 12mA. The beta value of the transistor is 30. What is the emitter current?

Important Information About RC Series Circuit

An RC series circuit has a voltage source of 10Vac, a resistor of 10ohms, and a capacitor with an impedance of -j10ohms. How do I find the magnitude and phase angle of the current flow through the capacitor?

Digital Signal Processing - Resulting Frequency Response

(a) Design a lowpass FIR digital filter using "remez" routime in Matlab for the following specifications: filter duration = 15 (order 14), passband = [0.0, 0.4], stopband = [0.6, 1.0], sampling rate = 2.0, magnitude desired = [2.0, 0.0] (passband, stopband), equal weight of deviation. List any noticeable features that you

Tune PI Parameters

Question: Given are the facts that Gc and Gp(s) are in series and Gp(s) = (K * Km) / [s[(Ls+R)(Js+b) + K^2m)]]. - K=5; Km=0.5; L=0.001; R=1; J=0.003; b=0.1 Using the trail and error method, tune the PI parameters so they meet these requirements: Steady state error = 0, Settling time <= 0.5s, and Overshot <=20%.

Solving for Digital Signal Processing

Question: Consider the signal: x(n)={1,0,-1,2,3} Fourier transform X(w)=Xreal(w)+j(Xi(w)). Determine and represent the signal y(w) that gives the fourier transform of Y(w)=Xi(w)+Xreal(w)e^exp(j2w).

Interpreting a Step Signal

Please see the attachment. The image is described by y(t)=t-tu(t-1)-t(u(t-2))+t(u(t-3)). I don't get this. Please point out where the signal turns on and off and why. To me, it looks like a ramp, a step, and then a ramp with neg amplitude. I can do the rest of the problem, i.e. the laplace transform and the other parts

Design a series controller

The process of a unity-feedback control system has the transfer function 100 Gp(s) = ------------------------ s^2 + 10 s + 100 Design a series controller (a PD, PI or PID) so that the following performance specifications are satisfied. Steady-state error due to a step i

Autocorrelation and Tao

I have a question from my ECE 302 class regarding the mean of a random process given a particular autocorrelation function in terms of tao. I know Variance=(mean-square)-(mean)^2 and I know that the (mean-square)=autocorrelation function with tao set to 0, but I don't know how to get the mean if I don't know the variance of

Transfer Function Analysis for a Unity Feedback System

For a unity feedback system with open-loop transfer function, G(s) = K(s+alpha)/(s^2 + 4s + 1): a) Find all values of alpha such that the system is stable for K = 2. b) If the unity feedback closes around this G(s) and an input is a unit step r(t) = 1u(t), what is the stead-state error, e_ss, as a function of alpha and K? c)

Thevenin Equivalent Voltage

A resistor, R, was connected to a circuit box as shown. The voltage, v, was measured. The resistor was changed, and the voltage was measured again. The results are shown in the table. Determine the Thevenin equivalent voltage vt of the circuit within the box. Determine the Thevenin equivalent resistance Rt of the circuit?

Solving Input Impedance

See attachment for the diagram. Question: Determine how the input impedance Z (jw) = Vi (jw) / Ii (jw) behaves at extremely high or low frequencies.

Solving: Fourier Series

Compute the Fourier series coefficient of the periodic function shown in the figure(view attachment) and defined as: X(t) = A 0 <= t <= T/3 0 T/3 <= t < T

8 x 8 JPEG Image

Consider the following 8x8 8-bits image: 26 25 30 30 37 37 37 37 7 28 29 30 37 37 37 37 6 9 31 28 37 37 37 37 4 5 10 30 37 37 37 37 9 9 9

Phasor Current

Hi, I need some assistance for the following question: Question: For the following circuit, find the phasor current. Please see attachment for circuit diagram.

System Modelling (Output: Density)

Two tanks are arranged as shown in the attachment. Salt and water are added into the first tank at rates {see attachment}. The tanks are well mixed and the salt dissolves completely. The flow between the two tanks depends on the pressure difference {see attachment}. The flow out of te second tank is given by {see attachment}. Bo

System Modelling - Output and State Differential Equation

Consider the ice-cream manufacture process shown in the attachment. The ice-cream is made up of the following ingredients: i) Liquid (cream, milk, water etc.) added at a rate r1 [kg/hr] and with a density p1 [kg/1]. ... {see attachment for more details} (a) Find a model for the process with height in the tank and density

Determining the Voltage for Capacitor

Please see the attached file for diagram. Question: Determine Vc(t) for t>0. The voltage across the capacitor in figure just before the switch is changed is given below: Vc(0) = -7V Io = 12mA C = 0.55muF R1 = 7kOhms R2 = 3.3 kOhms