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Electrical Engineering

The Laplace Transform and the Transfer Function Representation

1. Calculate the Laplace transform of exp(-10t) x u(t) 2. Calculate the convolution of exp(-t) and sin(t) using (a) the Laplace transform (b) direct integration 3. Compute the inverse transform of (3s^2 + 4s + 1) / (s^4 + 3s^3 +3s^2+2s) 4. Use Laplace transform to calculate the solution to the ODE y"+6y'+8y=u(t) y

Effects of Biasing Current and Offset Voltage to Op-Amps

The circuit to the problem is a non-inverting amplifier with a resistive-network feedback. The circuit is assumed to be ideal, with the exception of the effect of biasing current and offset voltage. The problem is: what is the output error voltage produced by the biasing current and the offset voltage? This solution will h

Control Systems Stability

7) Stability of system. 8) What is gain margin and systen bandwidth. 9) Determine y(t). 10) System poles in LHP. SEE ATTACHMENT

Op Amp Problem

Assume the following op-amp is ideal except for having a finite gain equal to (10^7)/(s + 10) and a slew rate of 0.02V/us. The input to the amplifier is an ordinary music signal with frequency range between 10 radian/sec to 3000 radian/sec and a maximum amplitude of 1V. Do you think the input signal will pass through the amplifi

Fourier Transform of a Square Wave

A square pulse of height H extends from . Find its Fourier transform. The given function is called a "rectangle function" and it is defined as x(t)= H* rect(t/A). This function is also called the "unit gate function".

Commercial Airplane C++

Write a program can be used to assign seat for a commercial airplane. The airplane has 13 rows and 6 seats in each row. Rows 1 and 2 are first class, rows 3 through 7 are business class and rows 8 through 13 are economy class. See the attached file.

Food survey C++

A cafeteria wants to determine how students rate each food item. The cafeteria requires an application that surveys the student's opinion of various food items, rating each item as "like" or "dislike". The application is to use a two-dimensional array to hold counters for each category in the survey. The application will prompt

Maximum number of telephones supported by an end office

Consider a simple telephone network consisting of two end offices and one intermediate switch with a 1-MHz full-duplex trunk between each end office and the intermediate switch. The average telephone is used to make four calls per 8-hour workday, with a mean call duration of six minutes. Ten percent of the calls are long distanc

Sample Question: Control Systems

See the attachment. 1. What is the phase margin and gain margin? A system has a loop function: A) P.M.= 32.5 degrees and G.M.=16.47 dB. B) P.M.= 30.2 degrees and G.M.=15.67 dB. C) P.M.= 31.8 degrees and G.M.=16.57 dB. D) P.M.= 32.3 degrees and G.M.=16.67 dB. 2. The loop function of a unity feedback system is:

Control Systems using Matlab to Obtain Nyquist plot

1) G(s) = Use Matlab and obtain Nyquist Plot 2) G(s) = Kv1=0.325 Kv2=0.45 Note: K does not equal Kv Determine the phase margin, gain margin, and closed-loop bandwidth for each case. Determine these both graphically, from the appropriate bode plots, and using the Matlab functions margin and bandwidth

Transmission schemes and Time sequence diagrams

. Calculate the overhead associated with the following transmission schemes: a. Asynchronous transmission; 8 data bits, 1 start bit, 1 stop bit b. Asynchronous transmission; 7 data bits, 1 start bit, 1 stop bit c. Asynchronous transmission; 7 data bits, 2 start bits, 1 stop bit, 4 bit FCS d. Synchronous transmission; 100

Laplace transforms, inverse laplace transforms and transient solutions

1. Find the Laplace transform of . 2. Find the Laplace transform of . 3. Find the Laplace transform of . 4. Find the inverse Laplace transform of . 5. Find the inverse Laplace transform of . 6. Find the inverse Laplace transform of . 7. The voltage and current in the Laplace domain for a certain system is

Control Systems (Frequency Domain)

Problem 2: A robot tennis player is shown in the figure above. The goal of the control system is to attain the best step response while attaining a high Kv. 1. Why is it desirable to attain a good step response and a high Kv? 2. Select Kv1=0.325 and Kv2=0.45. Note K does not equal Kv. Determine the phase margin, gain ma

Bode Plots for Loop Functions

1. The Bode plot for the loop function of a unity feedback system is shown below: Determine the gain K which must be added to the system so that a phase margin of 45 degrees is achieved. K=3.5 K=1.4 K=0.17 K=0.83 2. The loop function for a unity feedback system is: G(s) = 2K/s(s+1)2.

Bits and Set Outcomes

How many bits will it take to represent the following sets of outcomes? (For example, 1 bit is enough to represent male/female, and 2 bits to identify four seasons of spring, summer, fall, winter as of 22 = 4) a. The uppercase alphabet A, B, . . . , Z b. The digits 0, 1, . . . , 9 c. The seconds in a 24-hour day d. The

Control Systems Comparison

Problem 1: Using the riocus function, obtain the root locus for the following transfer function shown in Figure 1 when 0 < k < ∞ and G(s) is defined as the following: G(s) = (s5+4s4+ 6s3+8s2+6s+4)/( s6+2 s5+2s4+s3+s2+10 -1) 1. Comment on the stability of the system as k varies. Figure 2 Problem 2: Consider

Matlab to determine closed-loop transfer functions

Problem 1: A unity negative feedback system has the open-loop transfer function. G(s) = (s + 1)/(s3 + 4s2 + 6s + 10) 1. Using MATLAB, determine the closed-loop transfer function. 2. Using MATLAB, find the roots of the characteristic equation. 3. Is the system stable, marginally stable, or unstable? 4. Use ltiview to d

Control System MATLAB Script

Please see the attached file for a diagram and help with the following problems. Consider the closed-loop control system shown above. 1. Develop a MATLAB script to assist in the search for a value of k so that the percent overshoot to a unit step input is greater than 1%, but less than 10%. The script should compute the c

Design of a synchronous machine

Please see the attachment. Design a clocked synchronous state machine with state/output table shown in the file, using D Flip-flops Use state variables Q0,Q1,Q2 with state assignment A=000 B=001 C=010 D=011 E=100 F=101 Use Don't care to minimize the circuit where appropriate. Develop excitation and output equations. Draw t

Synchronous state machine analysis

Please see the attachment. Analyze the clocked synchronous state machine shown in the file (part A). write the excitation and output equations. Develop the transition table and the state/output table. Draw the state diagram. Is this a Mealy of a Moore machine? Draw the timing diagram for the machine for 10 clock cycles. as

SR flip flop from D Flip flops

Show how to build a rising edge triggered SR flip-flop using a rising edge triggered D flip-flop and combinational logic. Hint: Use Characteristic equations in chpt 7 Reference material: Digital Design Principles and Practices (Fourth edition) by John F. Wakerly

Control Systems Complex Controller

Problem 1: Consider the closed-loop transfer function T(s) = 10K/(s2 + 20s + K) 1. Obtain the family of step responses for K=10, 100, and 500. Co-plot the responses and develop a table that includes the following: a. Percent overshoot b. Settling time c. Steady-state error. Figure 1 Problem 2: A negat

Control System Problem

Problem 1: Consider the differential equation: d2y/dt2 + (3)dy/dt +2y = u where y(0) = dy(0)/dt = 0 and u(t) is a unit step. 1. Determine the solution y(t) analytically. I have the following(using Laplace transform): [s2Y(s) - sy(0)] + 3[sY(s) - y(0)] + 2Y(s) = 1/(s) s2Y(s) + 3sY(s) + 2Y(s) = 1/(s) Y(s)[s2 + 3s

Inverse Fourier transform

Please see the attached file for details. 1. A continuous time signal x(t) has the Fourier transform X(w) = 1/(jw + b), where b is a constant. Determine the Fourier transform for v(t) = x(5t - 4). 2. For a discrete-time signal x[n] with the DTFT X(w) = 1/(e^jw + b), where b is an arbitrary constant compute the DTFT V(&#937

Finding the Periodic Discrete Signal

Please see the attached file for details. 4. Determine if x(n) = cos(pi* n/4)cos(pi* n/4) is periodic. If periodic, calculate period. 5. Determine if x(n) = cos(3t + pi/4) is periodic. If periodic, calculate period. 6. For the RC circuit shown in the figure, find the input/output differential equation.

Signal and Laplace Transform

Please see the attached file. 1. Determine if the linear time-invariant continuous-time system defined is stable, marginally stable, or unstable. s - 1/(s^2 +4s + 5). 2. Determine if the signal given is linear, time invariant, causal, and/or memory-less: y(t) = d^x(t). 3. Determine if the signal given is linear, tim