1. A given open loop room heating system has a gain of 1.2 and a time constant of 15 seconds. Derive the transfer function of the system in Laplace domain.

2. A closed loop proportional controller was implemented for the system described in Task 1 Q1 above to reduce the time constant to 10 seconds.

a. Draw the block diagram of the system, assuming that the error signal is the difference between the set and actual measured room temperatures.

b. Calculate the gain value (K) of the proportional control action that achieve the above response.

c. Derive the overall closed-loop transfer function in Laplace domain.

analyze the performance of a gasoline engine at various loads based on data given and to determine the torque curve, power curve and performance parameters of BMEP, volumetric efficiency, and Air/fuel ratio, plotting the data vs RPM. Making three graphs: one graphing Torque and Power.

Also address t

a. How do the torque curve and power curve compare (max values @ same RPM)?

b. Is volumetric efficiency constant, or varying with RPM..what is trend?

c. Is BMEP a constant? Does it compare more with torque or power output?

In Taiwan, no one goes to work, and everyone consumes a single good (food), which is imported from another place and can be purchased (one meal at a time) from the nearest vending machine. Alternatively, food can be delivered by a distant catapult, capable of flinging a meal through a customer's window. The price of a delivered catapult meal is $8 and the price of a vending-machine meal is $2. The travel cost for consumers is $1 per roundtrip mile ($0.5 per mile traveled).

a. How many miles would the market area (i.e. maximum miles to be traveled for vending) for the vending machine be?

b. Show your answer in a martini shaped glass, indicating the slope of the glass’ arms, price of food at vending machine, and the radius of the city. (Label your axes)

c. Now assume that everyone owns a bike, which reduces the travel cost to $0.2 per round-trip mile. What would the new market area be for the vending machine?

d. Continue from part c above (everyone owns a bike still). Assume that a new vending machine replaces the old one, now allowing customers to purchase 2 meals at a time (meals are storable at no cost). How would that affect (if any) the market area of the vending machine?

e. Continue from part d above, and assume that everyone eats 2 meals per day in this town, and a month is 30 days long. What would the monthly rent difference be for a residence located 5 miles v. 10 miles away from the vending machine? (Hint: a single daily trip to the vending machine is sufficient).

Answer to the following questions. Give mathematical expressions and physical explanations if it is necessary.

1. What is polarization of light? (Electromagnetic formulations should be given)

2. What is the difference between polarized light and nonpolarized light?

3. How can polarized light be created? (Explain in detail the physical background)

4. Polarization states: Linear, Circular and Elliptic (Give mathematical formulations and draw graphics)

5. TM and TE polarizations: Reflection and Refraction (Mathematical formulations)

6. How does polarization by reflection work?

7. What is Brewster’s angle? (Mathematical expression and physical explanations)

8. Where do we use polarization in real-life? (Give several examples of polarization applications)

Just a general question, can a dilute distribution of magnetic ions render a non magnetic semiconductor magnetic?

How does an interrupt differ from a subroutine? When an interrupt occurs, where does program control branch to?

For PIC16F1619, how does the TIMER0 prescalar work? If we set PS2 = 0, PS1 = 0, and PS0 = 1 in the OPTION_REG register, how often does TIMER0 generate an interrupt?

How many bits are required to address the program memory of PIC16F887? What is PCLATH? For PC absolute addressing, describe how to write assembly program to jump to code located in a different program memory page.

If you want to operate an led bulb with a 12V battery as a single source using an NPN transistor as a switch and a microprocessor controller (such as Arduino), draw a circuit diagram for this setup, label all components and describe your approach.

Design Rectangular array antenna in HFSS software or 5Ghz frequency and MATLAB CODE FOR IT.

need all the output waveform regarding that

Design microstrip array antenna in HFSS software and MATLAB CODE FOR IT.

IF YOU KNOW THEN ONLY DO OR ELSE LEAVE FOR OTHER

ANTENNA ,ELECTRICAL ENGINEERING

1. Why are the pre-bake and post-bake steps used in the photoresist process sequence

2. Why do we keep calcium gluconate in the laboratory??

3. Why are the overhead lights in the lithography room yellow??

1. What is the difference between LPCVD and PECVD? (Note: Saying “The letter E.” is not a sufficient answer.)

1. Explain why chemical mechanical polished (CMP) is essential for making integrated circuits that have hundreds of millions of transistors.

3. Why must an ion implant be followed by a high-temperature annealing step? And what is the down-side of having to do this follow-up anneal??

1. Explain the primary difficulty with evaporation — the reason that it is not suitable for use in modern CMOS process, which have very small features with etched patterns that have a high aspect ratios.?

2. Regarding the previous question — how does sputtering solve the problem that evaporation suffers from??

3. Explain the purpose of standard clean that we used when processing the wafers in the lab. (You need an answer that is more detailed than “It cleaned the wafers.”)?

Why wireless assisted GPS can avoid cold-start occurred in conventional GPS? (Hint, think about how GPS receiver obtain Almanac and Ephemeris)