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# Electrical Engineering

### 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

### 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

### 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=

### 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)

### Maximum Message Bandwidth and Output Signal

A PCM system uses a uniform quantizer followed by a 7-bit binary encoder. The bit rate of the system is equal to 50 megabits per second. a) What is the maximum message bandwidth for which the system operates satisfactorily? b) Determine the output signal to quantizing noise ratio when a full-load sinusoidal modulating wave

### Transfer Function Determination

Can you help me find the transfer function IL/Vs? See attached for circuit layout.

### Important Information about Current Flow

How much current flows through the 1k ohm resistor in parallel with the current source? See attached file for circuit diagram.

### Bode Plot with Transfer Function

How would I sketch a bode plot for the following transfer function: V2/V1=20jf/10,000/(1+jf/10,000)(1+jf/1,000,000)

### Saturated Npn Transistor and Current

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?

### Node Analysis in MATLAB

Use nodal analysis to determine the node voltages and also the branch currents of the circuit as shown in Fig.3.2. Use Matlab to calculate these values. Enter these readings in Table 2 under the 'calculated' column. (Note: Node voltage VA is known, that is, 10 V. So you need to write nodal equations at B and C only for the circu

### Wheatstone Bridge

Find equivalent resistance of circuit (see attachment) by using the Tee-Pi conversion. See attached file for full problem description.

### Voltage across Wheatstone Bridge

Derive the formula to find the voltage across the terminals AB of a Wheatstone Bridge as shown in Fig.1.2 (see attached file) and then calculate the actual value with the components as shown. See attached file for full problem description.

### Stability of Linear Systems

Design a proportional and integral controller, G= k_p ((a+1/T_1)/s) for the plant, P = 1/((X+1)(S+3)) to have dominant poled with (see attachment) i) Use rough sketches of the root locus to determine the location of the controller zero (i.e. find T_1) ii) Calculate the required controller gain Kp, (An accurate root lo

### State Space Representation: Control and Design

Consider the following system whose state space representation is as follows: x'1(t) -3 1 x1(t) 1 = + u(t) x'2(t) -2 1.5 x2(t) 4

### System state space representation

Consider the following system whose state space representation is as follows: x'1 -1 1 α x1 0 x'2 = 0 -2 1 x2 + 0

### Solving State Space Representation

Consider the following system whose state space representation is as follows: x'1 1 1 0 x1 2 x'2 = 0 -1 1 x2 + -1

### Eigenvalue Equality & Matrix Invertibility

A) Show that the eigenvalues of A and AT are the same. b) Show that the matrix A is invertible if and only if A does not have a zero eigenvalues. c) Show that if the eigenvalues of A are... (see attachment for the rest of the question).

### Linear Systems and State Space Matrices

I need some help with these questions: 2. Calculate the linear state space matrices A,B,C and D for system that is described by the state equations, for deviations from uop = [-1, 1]^T, xop = [1,1,0]^T and yop= [0] (see attached file for better formula representation). 3. A linear system is described by its transfer funct

### Bode Plot and Nyquist

A feedback loop transfer function is give as: L(s) = 9 (s+10)/(s+1)(s-30) Draw the corresponding Bode magnitude and phase angle plots for L(iw) for 0.1<w<1000 on the EdS Chart. Then sketch the complete Nyquist plot in the appropriate place of the EdS Chart. Is the closed loop system stable or unstable? Give the precise reasons

### PI controller design equation

The plant is given as P(s)=(P/(0.3-s))*e^(-0.1s). The only uncertainty is in p E [0.2, 0.6]. Derive the fastest PI controller G9(s)=k(1+(1/T_i*S)) such that the closed-loop system is stable and |S| < 6dB for all w and p. Use frequencies between 0.01 and 100 rad/s and the nominal plant with p=0.6. Indicate clearly both the

### Discrete-time Systems

What is the transfer function of the system in Figure 5. T=0.1 and the forward path transfer function of the ZOH combined with the plant may be taken as (see attachment) If the input in the above question is R(z)=1 derive the first three samples responses. Use the long division method i.e. express y(z^-1) = a_0 + a_1(z^-1)+a_