A load draws 3500 W of power at a lagging PF of 0.6 from 500-Vrms, 120 Hz sinusoidal source. a. (8) Calculate the complex power consumed by the load. b. (10) Calculate the capacitance needed to correct the power factor to 0.8 lagging. c. (7) Draw the power triangles to reflect power system before and after the PF correction. Label all sides and power angles numerically.

Exercise 1

Suppose you are given a single-phase inverter using a unipolar PWM switching thod. Given the DC input as 50 V and the output load is a combination of resistance R = 5Ω and inductance L = 40 mH. You are required to design the necessary parameters in order for the inverter to operate with the following condition.

1. a fundamental output of 22.5 Vpk at 50 Hz frequency
2. the current THD of less than 15%

Hint: In this question what are the necessary parameters that need to be determined? (other than the given parameters). Modulation index to be used? Switching frequency to be used?

Assumption that can be made to simplify the design process?

Exercise 2

A single-phase square-wave inverter with a 250 V DC input voltage is operating at a frequency of 50 Hz. The inverter output is connected to the load which is combination of resistance R = 15Ω and inductance L = 33 mH.

1. study the effect of varying the frequency operation at ±50% from the original frequency of 50Hz to the fundamental output load current. Give your conclusion.
2. study the effect of varying the frequency operation at ±50% from the original frequency of 50Hz to the load current THD. Give your conclusion.
3. study the effect of varying the frequency operation at ±50% from the original frequency of 50Hz to the power produced at the load. Give your conclusion.

Exercise 3

The South Korean which is using a 380 kV_l-l,rms , 60 Hz 3-phase system is planning to sell electricity to Japan which is using a 210 kV_l-l,rms , 50 Hz 3-phase system. As for the implementation, a HVDC transmission line is proposed for the 214 km power transmission line between Fukuoka in Japan to Busan in South Korea. The conductor used for the undersea transmission line has a total resistance of 15Ω and inductance of 15 mH. The Japanese is set to receive 500 MW of clean power daily from the Korean side. As part of the team implementing the project, you are required to design the necessary parameters for the operation of the HVDC system. The following steps will help you in the design process.

1. set the appropriate transmission line DC voltage at the receive side, determine the required delay angle at the receiver side’s converter
2. determine the required DC current based on the amount of power received, as well as the voltage drop along the transmission line and the losses
3. based on (ii.), determine the voltage and the required angle at the sender side’s converter
4. Analyse the peak-to-peak variation in the DC current based on the first two AC terms

Based on your answer from (i.) to (iv.), in case the team need to improve the losses and ripple current performance to about 50% from its current condition, suggest which design parameters to be changed. Verify your answer through calculation.

Thankyou :)

1. Use Boolean algebra to simplify the following Boolean expressions to expressions containing a minimum number of literals:

(a) A’C’ + A’BC + B’C

(b) (A + B + C)’(ABC)’

(c) ABC’ + AC

(d) A’B’D + A’C’D + BD

(e) (A’ + B)’(A’ + C’)’(AB’C)’
(f) (AE + A’B’)(C’D’ + CD) + (AC)’

2. Obtain the truth table of the function F = (AB + C)(B + AC), express the function F in sum-of-minterms and product-of-maxterms forms, and express the function F’ in sum-of-minterms and product-of-maxterms forms.

3. Use Boolean algebra to convert the following expressions into sum-of-products and product-of-sums forms:

(a) (AB + C)(B + C’D)’
(b) X’ + X(X + Y’)(Y + Z’)’
(c) (A + BC’ + CD)(B’ + EF)’

I need to model a series RLC circuit with a AC voltage source using simulink which measures current and voltage across each component. Please include the formulas your model is based off of. thanks.

R = 1ohm
L = 1 millhenery
C = 1 microfarad

I am really sorry but these are related to each other, please and please show me all the steps with clear hand writing. thanks in advance

_____________

(a) Calculate the electrical conductivity of copper if it is given that the metal has 8.5 x 10²² conduction electrons per cm³ and the mobility of a conduction electron is 35 cm².V^-1.s^-1.

answer , units

(b) In an electronics project you need to construct your own inductor. The instructions for making this inductor is to “wind it from a 1.2 meter length of # 20 AWG (American wire gauge) copper wire.

(i) How thick is this wire in mm ?

(ii) What will be the resistance of your inductor ?

answer , units

____________

Q3) (i) Calculate the electrical conductivity of a piece of pure Si if it is given the number of intrinsic carriers at 300 K is 1 x 10¹⁰ cm^-3 and that the electron and hole mobilities are  μ_e = 1350 cm².V^-1.s^-1  and μ_h = 450 cm².V^-1.s^-1respectively.

answer, units     

(ii) Compare the conductivities between Si and Cu at 300 K as calculated from Q2 and Q3(i).         

____________

Q4) Following on from Q3, the temperature now increases to 350 K. Describe semi-quantitatively how and why the carrier concentration and the conductivity will change due to this temperature change for both these two materials (Si and Cu).

If a signal to interference ratio of 16 dB is required for satisfactory forward channel performance of a cellular system, what is the frequency reuse factor and cluster size that should be used for maximum capacity. Consider the path loss exponent as n = 4 and n = 3. Assume that there are 6 co-channels cells in the first tier, and all of them are at the same distance from the mobile. Use suitable approximations.

Describe the properties of a system which converts its input signal into the even part of it as output.

a) As an Engineer you are to design a single stage JFET Amplifier. Explain in your own words its operation , identifying each components and their functions .

b) With your knowledge and understanding in MOSFET , explain electrically with graph supporting your answers , the three regions of operation of a MOSFET.

please answer all.thank you.

1)Explain the need of analog and digital modulation in communication systems.
2)How modulated signals can be recovered through coherent detection of carrier. Draw suitable diagram and mathematical expressions.What is meant by over modulated carriers.
3)Drive an expression for transmission efficiency of A.M wave. Under what circumstances carrier wave reversal take place.
4)How SSB-SC modulated waves can be produced. Elaborate your answer with suitable diagram.
5)A device is sending out data at the rate of 1000 bps.
(a) How long does it take to send out 10 bits?
(b) How long does it take to send out a single character (8 bits)?
(c) How long does it take to send a file of 100,000 bits.
     6) What is relationship between phase and frequency modulation .Write complete mathematical expression and diagrams.
      
       7) For a continues time signal                    [CLO-3]
               X(t)=8cos 200πt
a)Determine the nyquist rate required to avoid aliasing.
b)If sampling frequency f=500 Hz , what is discrete time signal x(n)qx(nTs) obtained after sampling.
8) Figure shows periodic rectangular wave form. Find its Fourier series representation.[CLO-3]

9) Determine the nyquist sampling rate and interval for following signals.[CLO-3]

Using full adders and some other gates, design subtractor that subtracts an 8-bit binary number [Y7 …. Y0] from 8-bit binary number [X7 … X0]. Write necessary equations. Draw detailed circuit diagram and explain steps & write verilog code

please answer this question in as much detail as possible

Jupiter and its four large Galilean moons are sometimes termed as a ‘mini-solar system’ because Jupiter is composed of mainly hydrogen and helium like stars and the Galilean moons seem like planets revolving around it. The total angular momentum of a system is contributed by the sum of orbital and rotational angular momenta of the central body and the bodies orbiting around it.

i) Derive an equation for rotational angular momentum and calculate the same for the Solar System and the Jupiter system. (Ignore the contribution of all satellites, asteroids and dwarf planets for the Solar System and the smaller Jovian satellites for the Jupiter system)

ii). Derive an equation for orbital angular momentum and calculate the same for the Solar System and the Jupiter system. (Ignore the contribution of all satellites, asteroids and dwarf planets for the Solar System and the smaller Jovian satellites for the Jupiter system) c. Explain how this analogy of the ‘mini-solar system’ breaks down.

With your knowledge and understanding in MOSFET , explain electrically with graph
supporting your answers , the three regions of operation of a MOSFET

Develop and explain the operation of project chater data flow diagram

Design an experiment setup for determination the time constant of a thermistor?