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# Electrical Engineering

### 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

### Find phasor representation for the sinusoidal variables

(See attached file for full problem description) Problem 4. Find phasor representation for the following sinusoidal variables. Obtain the expression for the phasors in a+jb form. a. v1(t) = 10 cos wt + pi/4) b. i2(t) = 5 sin (wt - pi/4) c. i4(t) = 10 cos (wt +pi/4) +5cos(wt - pi/4) d. v3(t) = 10 cos (wt) + 10 sin (wt)

### Matlab immediate help

Hello again, I am posting a issues I need help with in matlab that the book does not help period. Again, adult student doing his best to learn everything he can and most efficiently to build my skills beyond these basics. I am trying to incorporate many things from the books that give no examples to learn better. Please sh

### even and odd signals

Signal Processing & Wavelength. Problems # 6-7. See attached file for full problem description. 6. For each of the signals given, determine mathematically if the signal is even, odd, or neither. Sketch the waveforms to verify your results. For signals that are neither, find the even or odd parts of the signal. a) x(t) = 5u(t

### mesh-current equation and node-voltage equation

Please only do problems 3.62, 3.63, 3.68, 3.69, 3.71, 3.72, 3.74. PLEASE show all equations used, work and PLEASE do not skip steps no matter how minor. I learn by example and need to see everything also including pictures of current flow, directions, picture of how each step progressed, etc.. Please show pictures of step

### Digital Logic-Arithmetic Circuit

Inputs Xi and Yi of each full adder in an arithmetic circuit have digital logic specified by the Boolean functions Xi = Ai Yi = B'iS + Bi C'in where S is a selection variable, Cin is the input carry, and Ai and Bi are input data for stage i. (a) Draw the logic diagram for the 4-bit circuit, using full adders and

### Discharging of a charged capacitor through a resistance

Discharging of a charged capacitor through a resistance. See attached file for full problem description.

### Runoff After Rainfall

The parking lot of the Spenditall Megamall has an area of 128 ac. It is partially landscaped to provide some areas of grass. Assume that an average of 63% of the water that falls on the parking lot will flow into a nearby drainage ditch, and the rest either evaporates or soaks into unpaved areas. If as summer thunderstorm drops

### Controller design using the inverse Nichols Chart

Question 1 Given P(s) = , use the Inverse Nichols Chart to design a simple G(s) to achieve the following specifications. i) zero steady state error to step output disturbance ii) │ 1 / (1+L) │ ≤ -15dB , ω ≤ 0.5 rad/s iii) │ 1 / (1+L) │ ≤ 6dB , (see attached for full problem description)

### Root Locus and Controller Design

See attached files for full problem descriptions. Question 3 The damping factor is ς = 0.5. Find Kp and ωn to have closed loop poles. There is a breakpoint is at s = -0.53. L(s) = Question 2 P(s) =

### Nyquist, bode, root locus

a) Plot the Nyquist diagram for P(s) = 2(s+1)/ s(s-1) and hence plot the bode plot and transfer your information from the Nyquist diagram and bode plot to the Inverse Nichols Chart. b) Plot the positive and negative root locus for L(s) = k(s+1)/s(s-1) (see attached)

### Block Diagram Reduction and Mason's Formula

Please help me with these question: Find the transfer function T= y/R for the following block diagram attached using block diagram reduction. You may use Masons gain formula.

### Pole-Zero Plot for a LTI system

Consider the stable LTI system with zeros at z = plus or minus 1/2j and poles at z = 1/3 and z = 2. a) Sketch the pole-zero plot for the system and the region of convergence (ROC) by shading. b) Write down the system function H(z) for this system. c) Write down the difference equation associated with this system. (see

### Fourier Transform / Sampling

The figure attached shows the continuous-time Fourier transform X of a continuous-time signal x(t). In other words, x(t) is the continuous time signal obtained by modulation of x(t) by the periodic impulse train s(t) a) Sketch s(t) if the sampling frequency is 2000Hz. b) Sketch X if the sampling frequency is 2000Hz. c

### Reliability of an automatic cutoff device in series

The reliability of a certain automatic cutoff device is assumed 11/12. What is the reliability of a system consisting of 4 such devices so arranged that anyone would provide the cutoff if functioning properly?

Attached are 3 jpg files. Please see page3.jpg. The nonlinear model equations for that question including the effect of a horizontal wind blowing with speed n (i.e. part (b)) is given in part 1 of page1.jpg. The linearized model equations are given in part 2 of page1.jpg and the transfer functions are given in part 3 of the

### Capacitance of a Pressure Vessel

See attached file for full multi-part problem description. Find the capacitance C of a 2-m^3 pressure vessel that contains air at 50 degrees celsius. Assume isothermal (n=1) expansion process and gas constant of air is 287 N-m/kg K. a. 5.2 x 10^5 Kg-m^2/N b. 2.16 x 10^-5 Kg-m^2/N c. 2356 Kg-m^2/N d. 7235 Kg-m^

### Closed Loop Gain

Calculate the closed loop gain for the attached circuit.

### Attached circuit, using mesh analysis and branch current

In the attached circuit, using mesh analysis, calculate branch current in Io. Results should be in the phasor domain.

### Attached circuit, calculate the Norton equivalent resistance

For the attached circuit, calculate the Norton equivalent resistance at terminal a-b. See attached file for full problem description.

### Norton Equivalent Equation

For the attached circuit, calculate the Norton Equivalent circuit at terminals a-b. a. Isc = 2.0 < 0.0 A b. Isc = 3.0 < 0.9 A c. Isc = 2.0 < -2.0 A d. Isc = 3.0 < -3.0 A

### Thevenin Equivalent Resistant

For the circuit shown in the attachment, calculate the Thevenin equivalent resistant at terminals a-b. (See attached file for full problem description) a. Zth = 5.423 < -77.47 ohms b. Zth = 7.211 < -33.69 ohms c. Zth = 5.934 < -78.86 ohms d. Zth = 7.834 < -88.86 ohms

### Nodal analysis calculation

In the attached circuit, calculate i(t) using nodal analysis. (See attached file for full problem description)

### Amplitude-Modulated Wave

Consider the amplitude-modulated wave of Fig. P7.2 with a periodic triangular envelope. This modulated wave is applied to an envelope detector with zero source resistance and a load resistance of 250 ohms. The carrier frequency, fc = 40 kHz. Suggest a suitable value for the capacitor C so that the distortion (at the envelope det

### Capactive Reactance

A) Calculate the capacitive reactance XC, with C= 1&#956;F and R= 200 Ohms for various frequencies and tabulate the values in Table 1 (see attached file). b) Plot f vs XC and comment on the plot. Compare this plot with another plot of f vs R. c) Calculate the phase angle (&#952;) for the RC circuit with C = 1&#956;F and R=

### Problem from Hykins Book

Pr4: The signal m(t)=6sin(2*pi*t) volts is transmitted using 4-bit binary PCM system. The quantizer is of the midriser type, with a step size of 1v. Sketch the resulting sequence of quantized sample for the complete cycle of the input. Assume a sampling rate of four samples per second, with samples taken at t=+-1/8, +-3/8, +

### Binary symbols Binary symbols, analog signals, and PCM waves

Problem 6. Figure P5.3 shows a PCM wave in which the amplitude levels of +1 V and -1V are used to represent binary symbols 1 and 0, respectively. The code word used consists of three bits. Find the samples version of an analog signal from which this PCM wave is derived. (See attached files for full problem description)

### Finding Error in a Binary Sequences

The bipolar waveform of Fig 5.12d, representing the binary sequence 0110100011, is transmitted over a noisy channel. The received waveform is shown in Fig P5.4, which contains a single error. Locate the position of this error, giving reasons for your answer. (See attached files for full problem description)