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# Electrical Engineering

### 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.

### Software Engineer

Sample ideas about a software engineer are generated. See the attached file.

### 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

### Sequence generator circuit using JKs.

The circuit outputs at the start are set to Qa=Qb=Qc='0'. C is the MSB ant the output number at the start is therefore 0. Assume that each JK has a zero propagation delay. Draw all the output waveforms, determine the sequence of output numbers produced by the JKs for eack clock cycle. See attached file for full problem

### Root Locus Analysis & Design

Root Locus Analysis & Design. See attached file for full problem description. 1) Draw the root locus of L (attached). of for positive and negative gain on graph paper. Find (graphically) the gain, k, to get l = 0.5 for the dominant poles and specify the corresponding corner frequency. 2) Draw the root locus of L (attach

### Bode Plot, Nyquist & Root Locus

See attached file for full problem description. Consider the system with the loop transfer function shown in the attached. a) Sketch the Bode plot and calculate (tabulate) L(jw) at w = [0, 1, 5, 10, 40, infinity] rad/s. Hence sketch the full Nyquist diagram. b) Analyse the closed loop system stability If the closed loop

### System Equations in Matrix Form

A system is defined by the equations: x1 = -3x1 + 2x2 + x3 + 2u1 + u2 x2 = 3x1 - 2x2 + x3 + u1 x3 = -4x2 - x3 + u1 y1 = 5x1 - 3x2 + x3 + u1 y2 = x1 + x2 + u1 + u2 Write the equations in standard matrix form and identify the A, B, C, and D matrices Draw a simulation (block) diagram.

### Flow Rate, Rotating Speed and Error Voltage

44. You have installed into a water pipe a turbine flow sensor that has a calibration factor of 60 pulses/gallon. When water is flowing in the pipe the sensor outputs 470 pulses/minute. What is the flow rate in gallons/minute? a. 0.1218 b. 7.83 c. 470 d. 28,200 45. A slotted disk and opto-interrupter outputs pulses at 6

### Basic PLC

I need help with these three questions: 32. A 10 volt unipolar analog input has a voltage resolution of 78.125 mV. The bit resolution is _____ bits. a. 7 b. 8 c. 9 d. 10 33. A 10-bit polar +/- 10 volt analog input has +4.35 volts applied to the input terminals. What will be the converted value in decimal format? a. 222

### Fourier transform and energy

I am trying to get a feel for Fourier transforms and would like some help. Please show all work/explanations. 1. Let g(t) = x(2t) - x*(2t- 1/2T0), assume that X(jw) is known Find G(jw) in terms of X(jw). 2. Let x(t) = 10sin(200t)/t a) Find X(jw) b) Let x(t) be the input to a continuous LTI system with impulse response

### Circuit Diagram for Finite State Machine

Circuit diagram for finite state machine. See attached file for full problem description.

### Half-wave controlled rectifier circuit (Power Electronics)

I've attached jpegs that show the circuits that I'm working with. My problem is that I don't know how to find the values of Ct and Rt for a specific firing angle. What formulas are needed? Is the calculation affected by the fact that there are two different loads (see circuits 1 and 2 jpegs)? What process must I go through to fi

### Controller Design Using Bode Plots

Please explain design steps using bode plots and different stages of Inverse Nichols Chart. See attached file for full problem description.

### Bode Plot, Nyquist, Root Locus

Bode plot, nyquist, root locus. See attached file for full problem description. A) By drawing the Bode (with reasonable accuracy at frequencies of interest) and then using a rough sketch of the (full) Nyquist diagram, assess the stability of the following system in a unity gain, negative feedback configuration. b) What wo

### The Norton Equivalent and Superposition

See attached file for full problem description. (5) Find the Norton equivalent (R_N and I_N) at terminals a-b of the circuit shown below (6) Using superposition, calculate v0 in the circuit below (7) Find the Norton equivalent (R_N and I_N) at terminals a-b of the circuit shown below

### transfer function of a high pass filter

See attached file for full problem description. A high pass filter is represented, followed by a positive feedback loop containing a gain K and low-pass filter in the pathway. Show that the above circuit's OVERALL transfer function is simply a high pass filter with gain K and time constance Tc/(1-K).

### Node Voltage Equations

Write the node voltage equations by inspection and then determine the values of V1 and V2 in the circuit below.

### Determine the node voltages

The first two pages attached is an example. The third page is the problem that needs done. Follow format of first two pages and solve for everything like shown on the first two pages for the problem on page three. Determine the node voltages in the circuit using nodal analysis