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Electrical Engineering

Voltage and Current

See attached file for circuit diagram. I need some help finding voltage and current, and determining if Vbg 3V or -3V.Is I2 1A or -1A?

Logic Circuit Expression

I need some help with this question, I keep getting it wrong. 'Find the expression for the output, C, of the logic circuit shown in the following figure:'. See attached file.

Magnitude of Impedience

See attached dwg. Can you please show me how to find the magnitude of Z (The impedience "looking in") as a function of frequency from 10Hz to 100KHZ? Note the inductor is 1mH the resistor 100 Ohms and the cap 1uF.

Resisitive Load

A 4:1 step down transformer uses a 60Vac source on the primary windings. There is 120mA flowing through the load resistance on the secondary windings. What is the resisitive load?

Convolution calculation

Please see the attached file for the full problem. W[n] = 2u[n] - 4u[n-2] + 2u[n-4], v[n] = sin[2πn/4]u[n] Calculate the exact answer by convolution w[n]*v[n]

Electromagnetic problems

Please see the attached file for the full problems: 1) A 2µC point charge is located at A(4,3,5) in free space. i) Find Eρ, Eφ, and Ez at P(8,12,2). 2) A charge Qo located at the origin in free space produces a field for which Ez = 1kV/m at point P(-2,1,-1). i) Find Qo ii ) Find E at

Smith chart application to a single stub tuner

1) A normalized load admittance of (0.2 + j0.2) needs a single stub tuner. i) how far down the line should it be located? ii) what is normalized admittance at the point just to right of where stub should be attached? 2) A certain point along a transmission line the normalized admittance is (1+j1.5) i) Design the sho

Input-output difference equation and impulse response

Two discrete time systems are connected in series. Their input-output difference equations are: T1[.]: w[k] = 0.25x[k-2] and T2[.]: y[k] = 0.5w[k-1] + 0.5w[k-2] Determine the overall input-output difference equation relating y[k] to x[k] and determine the impulse response of the overall system using convolution.

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

Loop equations and Laplace transformation

Refer to attached circuit diagram. a) Write the loop equations for the circuit. b) Take Laplace transform of the equations c) Solve for the current through the 5 ohm resistor.

Wheatstone Bridge

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

Finding Resistance and Voltage in a Simple Circuit

In the circuit of Figure 2.17 (see attached file), if v1=v/4 and the power delivered by the source is 40 mW, find R, v, v1, and i. Given: R1=kilo-ohms, R2=10 kilo-ohms, and R3=12 kilo-ohms. Please show your steps. Thanks.

Resistor Transfer Characteristics

Write a Matlab script to plot the transfer characteristics of a resistor as shown in Fig. 1.1 (step 10) with V=1V and R=1kΩ. (Use these commands, R=1000; V=[0: 0.1:1]; I=V/R; plot(V-I)). Are these graphs identical? See attached file for full problem description.

Find the Drain Voltage

See attached .Can yo show me how to find the value of R to obtain the drain current Id=.4mA. Also find the drain voltage VD.The NMOS transistor has a Vt=2V (See attached file for full problem description).

Plotting a root locus

Plot the root locus for the following system (see attachment) as the feedback gain is varied from (see attachment).

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

Designing a Controller and State Observer

Consider the system whose state space representation is attached: a) Design a controller for the system such as the closed loop poles are located at s= -1.8± 2.4j. b) Design a full state observer to estimate the states of the system. Place the eigenvalues of the observer at s= -8,-8. c) Check the design in (a) and (b)using M

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 functio

Linear Systems and Second Order

The response of a second order system obtain in a step test is depicted in Figure 3. It is known that the nth overshoot Sn of the response is given by, where c is the damping ratio. Use this and the response obtained to: i. Find values of the damping ratio c and the natural radian frequency. ii. Deduce the system transfer fun

Superposition Theorem - Independent Sources

Using Superposition theorem for independent sources (i.e. using ohm's law and applying the current divider rule) I would like to check the equations used to find the voltage across R4. RL is known so workings do not need to be shown. (See attached file for circuit diagram) This is a check for me as I am studying for an exa

Frequency response

Find the transfer function and draw the asymptotic bode magnitude and phase plots for the circuit shown. (see attached file for more information)

Gain Margin of a System

Consider the system shown in the attachment. Draw a bode diagram of the open loop transfer function, and determine the value of K such that the phase margin is 50 degrees. What is the gain margin of this system with the gain of K?

Control signal processing problem

Consider the unity-feedback control system whose open-loop transfer function is G(s)= (as+1)/(s^2) Determine the value of a so that the phase margin is 45 degrees.