Consider a two-dimensional hexagonal lattice:

(a) Find Fermi wave vector of the free electron circular Fermi surface in reciprocal space.

(b) Draw the free electron Fermi surface in the reduced zone scheme when the lattice points are occupied by atoms with:

i. One valence electron/atom.

ii. Two valence electrons/atom.

(i) Design a 7-segment LED driver using the truth table given in the lecture notes, inside a hierarchical block. Assume only numbers from 0 to 9 will be sent to your block. Explain your design. Name your block with your student number: eg “123456 LED driver”.

(ii) Test your circuit in block form using digital interactive constants to represent the inputs, and showing for every input combination what the LED display shows. Explain your testing.

1. Consider a (15,5) linear block code (cyclic) in systematic form. The generator polynomial is given as gx=1+X+X2+X5+X8+X10 .

1. Design and draw the circuit of the feedback shift register encoder and decoder.
2. Use the encoder obtained in part a to find the code word for the message [01011 ] . (Assume the right most bit is the earliest bit)                                                                
3. Repeat the steps of part b for decoding.                                                                                        
4. Verify the codeword obtained in part b polynomial division method                                 

e.Consider a codeword C=[110110010010110 ] . Is this a codeword of the above system? Provide suitable justification for your answer.

How do I solve short term load forecasting using Multiple Linear Regression? Can anyone provide me a step by step guide and solution? (Please provide a sample data)

The RF amplifier of a receiver has an input resistance of 1 kΩ, and equivalent shot noise resistance of 2 kΩ, a gain of 25, and a load resistance of 125 kΩ. Given that the bandwidth is 1.0 MHz and the temperature is 20 °C. If this receiver is connected to an antenna with an impedance of 75 Ω, calculate the noise figure. (in dB)

1. The length of a magnetic circuit of a relay is 25 cm and the cross-sectional area is 6.25 cm². The length of the air-gap in the operated position of the relay is 0.2 mm. Calculate the magnetomotive force required to produce a flux of 1.25 mWb in the air gap. The relative permeability of magnetic material at this flux density is 200. Calculate also the reluctance of the magnetic circuit when the relay is in the unoperated position, the air-gap then being 8 mm long (assume μ_r remains constant).

[2307 AT, 1.18 x 10⁷ AT/Wb]

1. A 440 V 4-pole 3 phase 50 Hz slip ring induction motor has its stator winding mesh connected and its rotor winding star connected. The standstill voltage measured between slip rings with the rotor open –circuited is 218 V. the stator resistance per phase is 0.6Ω and the stator reactance per phase is 3Ω. The rotor resistance per phase is 0.05Ω and the rotor reactance per phase is 0.25Ω. Calculate the maximum torque and the slip at which it occurs. If the ratio of full-load to maximum torque is 1:2.5 find the full-load slip and the power output. [s_max =0.1; T_max= 278 Nm; s=0.02; P=17.1 kW]

Please provide a tutorial on what balance realization means in control systems engineering.

4- a) Draw a 4-Bit Shift Register that shifts from right to left instead of left to right using D-Flip flops.

b) Draw the serial transfer from shift register A on the right to the shift register B on the left in block form including the timing diagrammes.

c) Draw the serial transfer table in the following form, assuming an initial value of 1101 in the register A and 0110 in the register B.

Timing Pulse Shift Register B Shift Register A

Initial Value

After T1

After T2

After T3

After T4

A system description that reveals whether a system is stable or not stable without consideration of other system attributes.

• A. Stable system

• B. Absolute Stability

• C. Marginally stable

• D. Optimum control system

How do we know which relay contact is actuated by which relay coil? How does this convention differ from that of standard electrical/electronic schematic diagrams, where the relay coil is shown as an actual coil of wire

Directly copy the source code and paste into the Word file. Screenshot of running result must be presented.

1. (20 points) Write the “Hello, world!” program.

2. (30 points) Write a program to calculate the sum from -5 to10. Use the for loop to do the calculation.

3. (20 points) Write a complete C++ program that asks the user to enter the necessary information about the cylinder, calculate the volume in a function (named as calculate_vol, using reference to pass the volume value out), then display the cylinder volume in main function. The volume of cylinder is:

Vol_Cylinder = πr²h

Where π is 3.14159265, r is the radius, and h is the height.

4. (30 points) Declare a vector container. Using keyboard to input several integer numbers, say at least six integer numbers; find the smallest number and display the result.

BY Using MATLAB software:

Exercise 3: Calculation of the parameters of a dipole.

% M-File: ML0804

%

% Perform numerical integration to find

% beam solid angle, directivity, and the

% maximum power function for a given length

% dipole.

%

% Variables

% L dipole length (in wavelengths)

% bL2 phase constant * length/2

% N number of theta points

% th,thr angle theta in degrees,radians

% dth differential theta

% num,den temporary variables

% F un-normalized power function

% Fmax maximum power function (W/m^2)

% omegaP beam solid angle (sr)

% D Directivity

clc %clears the command window

clear %clears variables

% Initialize variables

L=1.5;

bL2=pi*L;

N=90;

% Perform calculations

i=1:1:N;

dth=pi/N;

th(i)=i*pi/N;

num(i)=cos(bL2.*cos(th(i)))-cos(bL2);

den(i)=sin(th(i));

F(i)=((num(i)).^2)./den(i);

Fmax=max(F);

Pn=F./Fmax;

omegaP=2*pi*dth*sum(Pn)

D=4*pi/omegaP

Fmax

Question 3: Run this program for different choices of the dipole length.

Consider a wind turbine comprised of two blades, with a radius of 63 ft., which delivers maximum power when the wind speed is above 16 knots (18.4 mph). The wind turbine is designed to produce 135 hp with an efficiency of 74%. The rotor is designed to operate at a constant speed of 45 rpm in winds over 5 knots (5.8 mph) by controlling system load and adjusting blade angles.

Estimate the blade speed and power coefficient for the maximum power condition.