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# Electrical Engineering

### Find the transfer function from state space representation

Consider the following system (see attachment) whose state space representation is as follows: a) Find the transfer function of the system. b) Compute eAt using the eigenvalues and eigenvectors method. c) Compute eAt using the partial fraction method. d) If u (t)=0 for t &#8805; 0,compute x (t), y(t), and x(1) =[ -1 2]T

### Voltage by volt-ohmmeter & EVM

A voltage of 500 V is impressed on a 150 ohm resistor. The impedance of the voltage source is 10 k&#937;. Two meters are used to measure the voltage across the 150-k&#937; resistor: a volt-ohmmeter with an internal impedance of 1000 &#937;/V and an EVM with an impedance of 11 M&#937;. Calculate the voltage indicated by each of

### Equivalent inductance problems

(See attached file for full problem description) --- 1. Constant voltage of 10V is applied to an inductance... 2. Find the equivalent inductance for each of the series and parallel combinations... ---

### Assume that the operational amplifier is ideal

Assume that the operational amplifier is ideal; determine the transfer function V2/V1 of the circuit shown. See attached file for full problem description.

### BJT Differential Amplifiers

For the amplifier in Fig. 15.91, V_cc = 10 V, V_EE = 10 V, B_F = 100, I_EE = 20 uA, and R_C = 910 kOhms. (a) What are the output voltages v_o and V_o for the amplifier for v_s = 0 V and v_s = 2 mV? (b) What is the maximum value fo v_s?

### Approximation of Quarter Circle Using Bezier Curve

Determine the Bezier curve of order 3 that approximates a quarter circle centered at (0,0), (1,0), (0,1). a) Calculate the coordinate of the middle point on the Bezier curve and on the arc and compare them. b) Plot both curves.

### BJT Analysis

For the network of Fig. 8.82, determine RE and RB if Av = -10 and re = 3.8ohms. Assume that Zb = Bre Note: B = 120 ro = 80k ohm (See attached file for full problem description)

### Systems Approach - Electrical Engineering

See the attached file. *10. For the network of Fig. 10.53: (a) Determine AVNL, Zi and Zo. (b) Sketch the two-port model with the values determined in part (a). (c) Determine Av and Avs. (d) Change Rs to 1k and determine Av and Avs. What is the effect of increasing levels of Rs on the voltage gain? (e) Change Rs to 1k and

### Pulse Generator

Using one 555 timer, design a pulse generator that will have the following continuously variable ranges: a) 0.1 kHz to 1kHz b) 1kHz to 10kHz c) 10kHz to 100kHz A duty cycle of 0.5 is required. Use the same potentiometer for all the 3 ranges.

### Voltage Divider

We want to design a voltage divider circuit to provide an output voltage Vo=5V from a 12V source as shown in the attachment problem, the current taken from the 12 V source is to be 100mA. Find values of R1 and R2.

### LCR circuit

Find the particular solution for V(t) including the numerical values of all parameters. See attached

### First Order RC Circuit

The switch opens at t=0. Find an expression for V(t) and sketch to scale versus time. See attached.

### Spectrum Limitations

(See attached file for full problem description) --- A signal x(t) of finite energy is applied to a square-law device whose output y(t) is given by y(t) = x2(t) The spectrum of x(t) is limited to the frequency interval -W &#8804; f &#8804; W. Show that the spectrum of y(t) is limited to -2W &#8804; f &#8804; 2W. (Hi

### Working with modulators and modulation index

What percentage of modulation corresponds to a modulation index m of 0.5?

### Multiplexing

What if any are the benefits of multiplexing?

### Gauss-Markov Simulated Annealing

Matlab code for Gauss-Markov Simulated Annealing

### Design with Multiplexer

I need some help answering this question: (I am not sure what C is, but it might mean complement) Design a circuit using one 16 TO 1 multiplexer with W, X,Y,Z on the control inputs. Let w be the most significant bit and Z the least significant bit on the control inputs: The equation of the circuit is: F= (Y+Z)(CW+CX+WX)+Y

### Drawing a state diagram and state table

How would a Moore Model be developed from this design (provided in the attachment)? Could you also provide the state diagram and state table? If you can, can you please give me a description of how you derived such design of the circuit?

### Electrical Engineering - Root locus

(b) A particular system has the open loop transfer function: g(s) = (s+4)/((s+1)(s-2)) sketch the root locus for this system (c) The system is placed in a feedback control system as shown in Figure Q6. Determine the gain, k, which would result in marginal stability. Determine the frequency of oscillation which would res

### Closed Loop Transfer Function in an Electrical Circuit

(See attached file for full problem description) --- Electrical circuit problem asking for a calculation of the closed loop transfer for a gain, k = 15. --- (See attached file for full problem description).

### Control Systems Specifications

Given P = 1/(s/3+1), obtain a second order model for T(Y/Di) (transfer of input disturbance to plant output with feedback) to satisfy the following regulating requirements for a step input disturbance of height 15 units. Estimate lamba from the shape of the response. (See attached file for full problem description).

### Systems & Simulation Analysis using Simulink

The cart in figure 1 rests on a ramp which is inclined 30 degrees with respect to the horizontal. At t=0s the cart is released from rest(i.e with no initial velocity). As indicated, the air resistance is proportional to the velocity squared. See attached.

### J-K Flip-flops

Using negative edge triggered J-K flip-flops, design a 3-bit synchronous sequence generator to generate the following sequence: 0,1,3,6,0..... 1. Draw up a table showing the input requirements on the J & K terminals for the four possible changes of state at the output. The table should be headed: PRESENT Q, NEXT Q, INPUTS J

### Complex impedance and phase angle

Refer to diagram in attached file. 1. Derive an expression for the complex impedance between terminals A&B referring to the reactances as Xc & XL. Express the answer in the form of (real part + j * imaginary part) 2. Calculate the phase angle of the current I relative to the voltage Vin for a source frequency of 3kHz(must

### Wireless Networks Question

Please help with the following problem. Mobile IP was intended to work with legacy correspondent hosts and legacy applications. However, some advantages may be gained if correspondent hosts are aware of mobility in certain ways. a) If a correspondent host is able to do IP-in-IP decapsulation, it may be able to communicate

### Calculating the Maximum Calling Rate

You have a bandwidth of 10 MHz (per direction) in a single-cell system and want to deploy a wireless telephone system. You have the following options: analog 30-kHz channels (as in AMPS), digital 30-kHz channels (each supporting 3 users as in IS-54), digital 200-kHz channels (each supporting 8 users as in GSM), or CDMA with 10-k

### Wireless Networks Questions

You want to download a 5 Mbit file over a 10-Mbps Rayleigh fading channel in the 1800 MHz frequency band. You are traveling at 6 km/h and use 1000-bit packets. The fading margin of the channel is 20 dB. If any packet is received in error during the transfer, the operation is aborted. (a) What is the probability that you successf

### Wireless Networks Questions: Mobile Communications

The signal transmitted by a Base Station has a power of 1 mW at a distance of 1 m from the transmitter. Measurements have shown that the propagation exponent for the path loss is n=3 up to a distance of 1 km and n=4 beyond that. For adequate signal quality, a signal to noise ratio of at least 15 dB is required. Find the maximum

### Frequency Domain Design

Find the relationship between the phase margin (on the Inverse Nichols Chart) and the damping of the closed loop poles. (Full problem description found in attached .doc file).

### PI Controller and Nyquist Analysis

(Complete problem with equations found in attachment). Problem 1 A very common industrial controller is the proportional and integral (PI) controller. It has a transfer function, , kp is the proportional gain, Ti is the "reset time" For an integrating process, P(s) = 2/s, investigate the positive root locus for