Government subsidies Essay Example for Free

Government subsidies Essay An agricultural subsidy can be defined as a grant offered to farmers for their products. These subsidies are provided in order to add-on to farmers incomes, to control the costs of agricultural products in the market and to regulate supply of these products. The US government is required by the law to provide farm subsidies and is required to grant about twelve products. Some of the products that the government of US has subsidized include; corn, maize, wheat, barley, cotton, peanuts, milk, sugar among other products. (Robert, 2004) Agricultural subsidies have been in place ever since the early twentieth century. In the 1930s, farmers were very vulnerable to price fluctuations. This vulnerability caused them to strike in order to get the governments attention. A law was passed to protect them through tariffs. This was not very successful because it caused the international market to fear imports from the US. Years later, the government introduced another law that facilitated the control of goods produced by farmers, purchase of excess products and provisions for minimum payment to farmers. These changes that were made in the 1950s are still in place today. Some slight modifications have been made but the basics have been retained. Agricultural subsidies have had a lot of changes over the past decades in the country. In the early twentieth Century, there was a large chunk of the country’s population that engaged and resided in farms. At that time in history, farmers took up a large portion of grants. In the recent years, this has dramatically changed largely due to the fact that the number of farmers has reduced dramatically consequently reducing the amount of funds spent on them. A subsidy normally focuses on a particular product. This entails price considerations in that farmers are granted a certain amount of cash for a specific weight of product. On top of that payment, farmers expect a fixed price for any subsidized crop. So if market prices are lower than what farmers were promised, then the government compensates farmers for this balance. Payments are obtained from taxes meaning that the rest of the country’s population is involved on this matter Part 1: Government subsidies There are scores of subsidies that re currently offered by the government. But they can all be placed under certain groupings. These are what will be examined in detail below; (Robert, 2004) Export subsidies can be described as a settlement between the government and farmers regarding crops or agricultural products that will be exported or sold internationally. It was initiated in order to ensure that farmers have adequate funding when exporting their products. This kind of subsidization can sometimes result in farmers having extra finances. This implies that they can be able to sell their goods in target countries at a price that may be lower than cost of production. Consequently, farmers in those host countries maybe out competed. This has caused developing countries to raise an alarm. The United States has taken its exports to many countries some of which include South American countries. Some of the proponents of this type of subsidy claim that it perpetuates low prices for commodities in developing countries. This means that locals in those importing countries can be able to purchase agricultural goods at low prices. Complaints have been registered about cases of dumping in these countries: Where agricultural dumping is the sale of products at unfairly low prices that exceed their cost of production. This is propagated by availability of extra funds from export subsidies. Conservation payments are also another type of subsidy offered by the US government. The subsidies are normally done in support of the environment and for conservation purposes. The two plans under which this subsidy is implemented are the Conservation Security Program and the Conservation Reserve Program. It normally targets farmers that use environmentally friendly methods for their practices. This program was initiated after it was observed that agricultural activities cause immense pollution to the country’s resources. In the year 2003, the government spent close to two billion dollars on payments related to this scheme. Supporters of this type of subsidy claim that it protects the environment through promotion of environmentally friendly practices. These include issues like growth of nutrient-rich crops like beans rather than those that consume nutrients like corn, use of contour stripping and other methods that eradicate soil erosion.

Comparison of Platos The Last Days of Socrates and Hesses Siddhartha

Comparison of Plato's The Last Days of Socrates and Hesse's Siddhartha       The Last Days of Socrates and Siddhartha are sources that reveal information about religious or philosophical ideas in the cultures that they focus on. While vast differences exist between the Greek and Indian values that shape their philosophies, they make similar assumptions as they attempt to make sense of the world. Understanding the dichotomous relationship of the soul and the body is integral to grasping the similarities and differences between the classical Greek and Indian paths because the way in which these concepts are understood defines the very nature of truth.    Socrates, the main character in The Last Days of Socrates, and Siddhartha, the central figure in Siddhartha, are both portrayed as learned men searching for truth. The author of The Last Days of Socrates, Plato, conceived the document as a representation of Socrates' method of inquiry. Although it is a primary source from the period (429-347 B.C.E.), the reader must consider that The Last Days of Socrates is a re-creation of events that may have happened, not a verbatim account. Siddhartha is a secondary source that explains an Indian philosophical journey through the perspective of a twentieth century German author. Thus, one must consider the author's bias towards his subject and remember that the ideas presented are one scholar's interpretation of the legend. By attempting to compare and contrast both sources' approaches to truth, one can make some observations about the way Greek and Indian cultures view truth; keeping in mind that the sources each merely represent one account of the historical events and ideas.    Intrinsic to Siddhartha and Socrates' searche... ...th. By becoming aware of the separation of the soul and the body, the indestructible and immortal nature of the soul, and the impossibility of the soul understanding truth while bound to the body, one can begin to understand how this dichotomy has shaped Indian and ancient Greek philosophy.    Works Cited Baumer, Franz.   Hermann Hesse.   New York: Frederick Ungar Publishing Co., 1970. Field, G.W.   Hermann Hesse.   Boston: Twayne Publishers, 1970. Hesse, Herman. Siddhartha. Dover Publications, 1998. Plato, The Last Days of Socrates.   Trans. Hugh Tredennick and Harold Tarrant.   London: Penguin, 1993. Welch, Carolyn Roberts.   Cliff's Notes on Hesse's Steppenwolf and Siddhartha. Lincoln: Cliff's Notes Inc., 1973. Ziolkowski, Theodore.   The Novels of Hermann Hesse: A Study in Theme and Structure. Princeton: Princeton University Press, 1965.

Celebration of the Feast of the Black Nazarene in the Philippines Essay

Living in the Philippines where the religion of majority is Catholic, I am used to seeing people participate in almost every occasion relating to religion. Though I am not a Catholic, I admire them when it comes to their dedication and willingness to sacrifice. Among all their religious practices, the Celebration of the Feast of the Black Nazarene puzzled me most. Millions of barefoot men try to make their way as near to the Black Nazarene as possible in order to glance, touch, and wipe towels on it. These people push, fight, squeeze, and do almost anything just to fulfill their panata. As a result, a number of devotees are injured and killed, but they do not really care much because the devotees believe that the more sacrifice one performs, the higher the reward. This can be attributed to the Filipinos’ inclination to self-punishment and devotion to the images of Suffering Christ. According to the article written by Dr. Chua, the procession should actually inform and attract public to become converts of the faith. But based on what is commonly seen in news during the feast, I don’t think that the said procession is an effective way of encouraging new believers. Actually, there is a better and more peaceful way of celebrating the feast such as by praying the rosary or making a personal prayer. Joining the procession seems to be absurd for some people, even for the Catholics, but we must never judge or despise them. Instead, let us try to understand their motives by â€Å"putting ourselves in their shoes†. In my opinion, this is indeed a very helpful tool in comprehending the actions of other people in any given circumstance, not only in understanding the devotees of Nazarene. I have realized that in any ritual or vow performed, what is important is the heart. Without the right one, all sacrifices and effort will just be put to waste. Showing devotion and love for the Divine being should be manifested not only during the Lenten season or Feast of Nazarene; rather, it must be within oneself daily and naturally.

Why ETFE Is the Miracle Construction Material

ETFE is an abbreviation for Ethylene Tetrafluoroethylene, a  translucent polymer sheeting that is used instead of glass and hard plastic in some modern buildings. ETFE is usually installed within a metal framework, where each unit can be lighted and manipulated independently. Light sources can be on either side of the plastic cladding. Compared to glass, ETFE transmits more light, insulates better, and costs 24 to 70 percent less to install. ETFE is only 1/100 the weight of glass, and it has properties that make it more flexible as a construction material and a medium for dynamic illumination. Key Takeaways: ETFE ETFE (Ethylene Tetrafluoroethylene) is an industrial-strength construction plastic used for exterior cladding since the 1980s.ETFE is strong and lightweight. It is often applied in layers that are welded together around the edges and held by a metal framework. Because it is safer and more adaptable than glass, non-rip ETFE is often used as a replacement for glass.Commercial uses of ETFE include many sports arenas and entertainment venues. Dynamic lighting of this plastic has been a successful feature of ETFE architecture. Uses of ETFE The SSE Hydro in Scotland, part of the design portfolio of British architect Norman Foster, was completed in 2013 as an entertainment venue. In the daylight, the ETFE cladding may lack excitement but be functional by allowing natural light to the interiors. After dark, however, the building can become a light show, with interior lighting shining out or exterior lights around the frames, creating surface colors that can be changed with the flip of a computer program. For other venues, rows of lights surround the plastic panels. The ETFE cusions on the Allianz Arena in Germany are diamond shaped. Each cushion can be controlled digitally to display red, blue, or white lights — depending on which home team is playing. ETFE Exterior Panels on the Allianz Arena. Lennart Preiss/Getty Images This material has been called a fabric, a film, and a foil. It can be sewn, welded, and glued together. It can be used as a single, one-ply sheet or it can be layered, with multiple sheets. The space between the layers can be pressurized to regulate both insulating values and light transmission. Light can also be regulated for local climates by applying nontransmittable patterns (e.g., dots) during the manufacturing process. With dark dots imprinted on the translucent plastic, light rays are deflected. These application patterns can be used in conjunction with layering — using photo sensors and computer programs, the location of the dots can be strategically moved by controlling the air between layers, by stretching or sagging the material, which positions the dots to block where the sun is shining through. Allianz Arena Dynamic Lighting. Lennart Preiss/Getty Images (cropped) Computer systems can also regulate dynamic lighting effects for ETFE structures. When the exterior of the Allianz Arena is red, FC Bayern Munich is the home team playing in the stadium — their team colors are red and white. When the TSV 1860 Mà ¼nchen soccer team plays, the colors of the stadium change to blue and white — that teams colors. Characteristics of ETFE ETFE is often called a miracle construction material for tensile architecture. ETFE is (1) strong enough to bear 400 times its own weight; (2) thin and lightweight; (3) stretchable to three times its length without loss of elasticity; (4) repaired by welding patches of tape over tears; (5) nonstick with a surface that resists dirt and birds; (6) expected to last as long as 50 years. In addition, ETFE doesnt burn, although it can melt before it self-extinquishes. Because of its strength and ability to transmit UV rays from the sun, ETFE is frequently used in sports venues that desire healthy, natural turf athletic fields. Disadvantages of ETFE Everything about ETFE is not miraculous. For one thing, it is not a natural building material — its plastic, after all. Also, ETFE transmits more sound than glass, and can be too noisy for some places. For a roof subject to raindrops, the workaround is to add another layer of film, thus decreasing the deafening drumbeats of rain but increasing the construction price. ETFE is usually applied in several layers that must be inflated and require steady air pressure. Depending on how the architect has designed it, the look of a building could drastically change if the machines that supply the pressure fail. As a relatively new product, ETFE is used in large commercial ventures — working with ETFE is too complex for small residential projects, for the time being. The Full Life Cycle of Building Materials How is it that a synthetic plastic film has come to be known as the building material of sustainability? When choosing building products, consider the life cycle of the materials. For example, vinyl siding may be recycled after its usefulness, but what energy was used and how was the environment polluted by its original manufacturing process? Concrete recycling is also celebrated in the environmentally friendly construction world, but the manufacturing process is one of the prime contributers to greenhouse gasses. A basic ingredient in concrete is cement, and the U.S. Environmental Protection Agency (EPA) tells us that the manufacturing of cement is the third largest industrial source of pollution in the world. When thinking of the life cycle of glass production, especially compared to ETFE, consider the energy used to create it and the necessary packaging to transport the product. Amy Wilson is explainer-in-chief for Architen Landrell, one of the worlds leaders in tensile architecture and fabric systems. She tells us that manufacturing ETFE causes little damage to the ozone layer. The raw material associated with ETFE is a class II substance admitted under the Montreal treaty, Wilson writes. Unlike its class I counterparts it causes minimal damage to the ozone layer, as is the case for all materials used in the manufacturing process. Reportedly creating ETFE uses less energy than making glass. Wilson explains: The production of ETFE involves the transformation of the monomer TFE in to the polymer ETFE using polymerisation; no solvents are used in this water based procedure. The material is then extruded to varying thicknesses depending on application; a process which uses minimal energy. Fabrication of the foil involves welding large sheets of the ETFE; this is relatively quick and again a low energy consumer. Because ETFE is also recyclable, the environmental  culpability is not in the polymer, but in the aluminum frames that hold the plastic layers. The aluminium frames do require a high level of energy for production, Wilson writes, but they also have a long life and are readily recycled when they reach their end of life. Examples of ETFE Structures A photo journey of ETFE architecture quickly dispels the notion that this is a simple plastic cladding material you might put over your roof or boat on a rainy day. The Swiss architecture team of Jacques Herzog and Pierre de Meuron created a sculpted look for the Allianz Arena (2005), one of the most beautiful ETFE structures in Mà ¼nchen-Frà ¶ttmaning, Germany. Mangrove Hall (1982) at Royal Burgers Zoo in Arnhem, the Netherlands, is said to be the first application of ETFE cladding. The Water Cube venue (2008) built for the Beijing, China Olympics brought the material to the attention of the world. The biodome Eden Project (2000) in Cornwall, England created a green tinge to the synthetic material. Allianz Arena Designed by Herzog de Meuron, 2005, Munich, Bavaria, Germany. Chan Srithaweeporn/Getty Images (cropped) Because of its flexibility and portability, temporary structures such as the summer Serpentine Gallery Pavilions in London, England have been of late at least partially created with ETFE; the 2015 pavilion in particular looked like a colorful colon. The roofs of modern sports stadia, including the U.S. Bank Stadium (2016) in Minneapolis, Minnesota, are often ETFE — they look like panes of glass, but the material is really safe, non-rip plastic. Temporary Summer Pavilion in Londons Hyde Park by Spanish Architects Josà © Selgas and Lucia Scano, 2015. Lionel Derimais/Getty Images (cropped) Plastics, the Industrial Revolution Continues The du Pont family emigrated to America shortly after the French Revolution, bringing with them 19th century skills in making explosives. Using chemistry to develop synthetic products never stopped within the DuPont company, creators of nylon in 1935 and Tyvek in 1966. When Roy Plunkett worked at DuPont in the 1930s, his team accidentally invented PTFE (polytetrafluoroethylene), which became Teflon. ® The company, who considers themselves a pioneer of polymer science with a legacy of innovation, is said to have created ETFE in the 1970s as an insulation coating for the aerospace industry. The tensile architecture of Prizker laureate Frei Otto in the 1960s and 1970s was an inspiration for engineers to come up with the best material to use for what builders and architects call cladding, or the material that we might call exterior siding for our homes. The idea for ETFE as a film cladding came in the 1980s.  Engineer Stefan Lehnert and architect Ben Morris co-founded Vector Foiltec to create and market Texlon ® ETFE, a multi-layered system of ETFE sheets and architectural cladding. They didnt invent the material, but they did invent the process for welding together sheets of ETFE — and giving a building the layered look. Sources Birdair. Types of Tensile Membrane Structures. http://www.birdair.com/tensile-architecture/membraneBirdair. What is ETFE film? http://www.birdair.com/tensile-architecture/membrane/etfeDupont. History. http://www.dupont.com/corporate-functions/our-company/dupont-history.htmlDupont. Plastics, Polymers, and Resins. http://www.dupont.com/products-and-services/plastics-polymers-resins.htmlEPA. Cement Manufacturing Enforcement Initiative. https://www.epa.gov/enforcement/cement-manufacturing-enforcement-initiativeWilson, Amy. ETFE Foil: A Guide to Design. Architen Landrell, February 11, 2013, http://www.architen.com/articles/etfe-foil-a-guide-to-design/, http://www.architen.com/wp-content/uploads/architen_files/ce4167dc2c21182254245aba4c6e2759.pdf

Character Motivations in Antigone - 745 Words

The main characters in Sophocles’ drama, Antigone, are Antigone herself, the play’s tragic heroine and Antigone’s uncle and King of Thebes, Creon. Both characters are ruled by powerful motivations and beliefs; however, they differ from one character to the next. Antigone’s motivation is love for her family- she puts it above all else. In fact, she is willing to sacrifice her life to defend that love. Antigone goes to great lengths to bury her deceased brother, who according to an edict issued by King Creon, died in dishonor, consequently making it illegal for anyone to bury his body. Through her actions to comply with her motivations, it is revealed that Antigone’s actions are also fueled by her strong beliefs that, first, the gods’ laws†¦show more content†¦For these reasons, his character is a feared leader. First of all, the fact that he issues that his nephew cannot be buried shows that- one, he demands loyalty, even over loyalty to the gods, and two, he defends his country over his family. He continues displaying his beliefs when he doesn’t revoke the edict even after his wife, and niece clearly disagree with it. Creon’s pride continues to take precedent when he begins falsely accusingShow Mo reRelatedThe Conflict Between Nature Versus Human Institution937 Words   |  4 PagesAntigone by Sophocles is a play that has lasted through the ages because of its underlying meaning that can still be applied today in conflicts such as parents who choose to not vaccinate their children. It is a conflict between nature versus human institution. Throughout this play one notices there is no clear hero. The basic conflict in Antigone came about by a disagreement between two brothers in a royal family in Thebes, Eteocles and Polynices, Eteocles being the older brother. Antigone and IsmeneRead MoreEssay on Haimons Covert Scheme1021 Words   |  5 Pages nbsp;nbsp;nbsp;nbsp;nbsp;Haimon has a certain tendency to be overlooked in Sophocles’ Antigone. At first he appears to be a minor character, an accessory to the overt conflict occurring between Kreon and Antigone. We see Haimon supporting his father, but soon thereafter in conflict with him. Haimon expresses disregard for the l ife of his cold bride to be, yet is defined as being driven by lust. Several questions come up: who does Haimon really support, what drives his actions, and what is hisRead MoreAntigone Feminist Analysis1622 Words   |  7 PagesAntigone, a Greek tragedy pertaining to the events following the deaths of Eteocles and Polynices, Oedipus’ sons, due to a conflict over power. Upon the death of both children their uncle Creon takes the throne of Thebes for himself and declares Polynices a traitor to the state and withheld his burial rights from him. Antigone choose to disobey Creon’s decree and bury her bother. Sophocles’ play has been a long treasure piece of literature throughout the ages; sparking many papers and debates fromRead MoreEssay about Women Behaving Like Men in Antigone, Electra, and Medea842 Words   |  4 PagesWomen Behaving Like Men in Antigone, Electra, and Medea Throughout Antigone, Electra, and Medea, many double standards between men and women surface. These become obvious when one selects a hero from these plays, for upon choosing, then one must rationalize his or her choice. The question then arises as to what characteristics make up the hero. How does the character win fame? What exactly is excellent about that character? These questions must be answered in order to choose a heroRead MoreSophocles Antigone : The Third Of The Three Theban Tragic Plays1106 Words   |  5 PagesSophocles’s play, Antigone is the third of the three Theban tragic plays and was written around 440 B.C. and is still well known today. Sophocles s play Antigone tells a tragic story about family honor and a sister’s love for her brothers. After Antigone’s two brothers, Polynices and Eteocles died in battle, Creon became the new leader of Thebes. Creon orders that Eteocles have a proper burial while Polynices’s body remain u nburied, simply left to rot. Antigone refuses to let her brother’s bodyRead MoreAntigone Character Analysis1422 Words   |  6 Pages Antigone, the final play in a series including Oedipus Rex by Sophocles, discusses the ideas of leadership, family, and choices. It features two central characters: Antigone, a girl who chooses to illegally bury her brother, and Creon, a king who decrees the burial of the brother to be illegal. Upon the first encounter of the text, it appears that Antigone is the â€Å"hero† of the play, but on further analysis, one realizes that the tragic hero, as defined by Aristotle, is actually Creon. The ideaRead MoreThe Personal Dilemmas Of Creon Vs. Antigone920 Words   |  4 Pageslovers lie endlessly, caught in the web of duty.† - Stephen King (brainyquotes.com). In Sophocles’ Antigone as well as Anouilh’s version of the play duty versus personal motives is a very significant theme that heavily contributes to the outcome of the character’s actions. The two protagonists, in both plays, Creon and Antigone are aware of the negative consequences of their actions. Creon and Antigone both believe that they are correct within their arguments, regardless of their knowledge of the repercussionsRead MoreEssay on Creon As The Tragic Hero In Antigone602 Words   |  3 Pages Sophocles’ Antigone is, without a doubt, one of the greatest tragedies ever written. There are many questions that somebody could ask about this work, but this one intrigues me the most: Who is the tragic hero? Could it be Antigone? Or could it be Creon? Antigone might be the name of the tragedy, but I believe that Creon is the winning candidate. His role in the plot of this tragedy, his sensible tragic fault, and his dynamic character are the obvious reasons why I chose him as the tragic heroRead MoreAntigone: Sophocles and Creon839 Words   |  4 PagesCreon and Antigone are both honorable people and yet, both are fatally proud and that is the source of the tragedy. To what extent do you agree? During the time of Ancient Greece, tragic plays were commonly used to deliver a moral message to their audience. Sophocles’ â€Å"Antigone† demonstrates the dangers of hubris and the disaster it can cause using the conflict between the two central characters, Antigone and Creon, as the basis of the tragedy. Although they are honourable in their own differentRead MoreCreon Vs Antigone Essay911 Words   |  4 Pagesgoing to write about Creon versus Antigone. They both have strong character as Gender, Agency and State, laws. . Antigone is a woman who has a strong character that challenges the king Creon law in order to obey her beliefs. On other hand, Creon is effectively manufactured, however a fatigued and wrinkled man enduring the weights of running the show. A viable man, he immovably separates himself from the awful yearnings of Oedipus and his line. As he tells Antigone, his lone intrigue is in political

The Art Within The Film The Triumph Of The Will

The Art Within Just like France, the United States, and Russia, Germany also began to make films, as a way to entertain the working class in an inexpensive way. By 1933 Adolf Hitler came to power, creating very harsh social condition that made several writers, actors, and directors flee Germany because they feared that if they stayed they would have gotten killed. Joseph Goebbels later came to run the UFA, as a government owned production company to make films that were shown to civilians and the military as propaganda on March 13 , 1933, and intended to censor German cinema to make the people believe that they were fascist. Numerous movies in that period of time tried to steer clear of talking about the Holocaust to distract people from what was really happening and to make Hitler seem almost godlike. One film in particular directed by Leni Riefenstahl called The Triumph of the Will became a well known example of propaganda in film history. Throughout the film, you really get to experien ce a sense of historical context that influenced thousands of people during the time of World War 2. Today, several people view The Triumph of the Will and have a difficult time distinguishing whether or not they can conclude if they view the film as propaganda or an actual piece of art. Triumph of the Will is a documentary of the Nazi Party conference in 1934 in Nuremberg. From the first frame of the film, Riefenstahl captures every essence of how worshiped HitlerShow MoreRelatedThe Visual and Audio Representations in Arthur C Clarkes The Sentinel1374 Words   |  6 Pagesfound in director Stanley Kubricks film, 2001: A Space Odyssey. Clark actually aided Kubrick in writing the script for the movie, which was in no small part based on the work of literature the author had previously written (Soriano, 2008). To that end, Kubricks film functions as an example of many of the concepts originally denoted by Clark in The Sentinel. 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Department of Electrical and Computer Engineering Final Examination Free Essays

University of Waterloo Department of Electrical Computer Engineering ECE 231 Final Examination – Spring 2000 Aids: Formula Sheets (attached), Scientific Calculator Time Allowed: 3 hours Exam Type: Closed Book Instructor: C. R. Selvakumar Date: August 10, 2000 Max Marks: 100 Instructions: Answer all questions in PART-A and any two questions in full from PART-B. We will write a custom essay sample on Department of Electrical and Computer Engineering: Final Examination or any similar topic only for you Order Now State your assumptions clearly. Be concise, precise and clear in your answers General assumptions to be made when not specified in a question: (a) Assume that the semiconductor is Silicon. (b) Assume that the temperature T = 300K c) Use the data given in the formula sheets where needed. (d) Use the following expressions for the Effective Density of States in the Conduction Band (NC) and in the Valence Band (NV) respectively: 3 2 3 3 3 ? m ? ? T ? 2 ? 3 N C = 2. 5 ? 1019 ? ? cm ? m 0 ? ? 300 ? * n ? m* ? 2 ? T ? 2 p ?3 19 N V = 2. 5 ? 10 ? ? m ? ? 300? cm ? ? 0? PART -A 1a) Consider a Silicon p+-n diode with the following doping densities: NA = 1019 cm-3 and ND is 1016 cm-3. The diode has an area of 100  µm by 20  µm. (i) Without doing any calculations, sketch the capacitance versus reverse voltage (VR) starting from VR = 0. (4 marks) (ii) Calculate the voltage at which you will obtain the minimum capacitance and also determine (calculate) the minimum capacitance at that voltage. (10 marks) (iii) Derive the mathematical relations you use in calculating the quantities in (ii) above. (16 marks) 1b) Assuming that the p+ region and the n-region of the diode described in 1a) above are ‘long’ compared to the minority carrier diffusion lengths in those regions, show how you would obtain the complete Current-Voltage (I-V) Characteristic of the diode. You can assume that there is no recombination in the space-charge layer and you need not solve the continuity equation. Sketch the electron and hole current distributions in the entire device. (10 marks) Page 1 PART B 2a) Draw a clearly labelled band diagram of an n-p-n transistor under thermal equilibrium and superimpose on it a band diagram of the same transistor when it is under normal forward active mode of operations. (8 marks) 2b) Derive an expression for the common emitter current gain $ ($ = IC/IB), in terms of the doping densities in the different regions, thickness and carrier diffusivities and diffusion lengths. Assume that there is no recombination in the neutral base or in the space-charge layers. Also, assume that the conventional reverse saturation current of the reverse-biased diode, IC0, is negligible. Assume that short-region approximation is valid in the base and that the bandgap narrowing in the emitter is important. No need to solve continuity equations and you can assume the expected carrier distributions. (12 marks) 2c) Obtain the modified Ebers-Moll (EM) equations from the original EM equations given in the formula sheet. Sketch Common-Base output characteristics based on the modified EM equations and show the Forward Active Region of operation, Saturation Region and Cut-off Region. 10 marks) 3a) A silicon n-p-n transistor has an emitter doping NDE = 1020 cm-3 and a base doping NAB = 1016 cm-3. The emitter is 1  µm thick and assume that the hole diffusion length in the emitter is 0. 1 :m. The base is 0. 35 :m thick and you can use the values of mobilities and lifetimes given in the tables in the formula sheet to determine the electron diffusion length in the base. Verify that the short-region approximation is applicable to the base. Assume that the carrier recombinations in the neutral base an in the emitter-base depletion layer are zero. When this transistor is operating in the normal forward active mode with 0. volts forward bias across the emitter-base junction and a 2 volt reverse bias across the collector-base junction, what is the collector current density (JC) and the base current density (JB) ? You can assume that the depletion layer thicknesses are negligible at both junctions. Assume that bandgap narrowing for the emitter doping is 100 meV and the room temperature is 300K. (15 marks) 3b) What is the emitter efficiency of the transistor in 3a)? (5 marks) 3c) What do you understand by diffusion capacitance of a diode? Show (derive) that the diffusion capacitance of a p+ – n diode is approximately given by C Diffusion ? Qp Vt where Qp is the total injected minority hole charge on the n-side quasi-neutral=region and Vt is the thermal voltage (kT/q). Prove that the quantity Q p ? qAL p pn 0 e V Vt (10 marks) Page 2 4a) Consider an n-channel MOSFET and explain how the MOSFET operates using key band diagrams (along source, channel and drain and vertically along the metal gate, oxide and the channel region) and cross-sectional diagrams. State clearly wherefrom the channel electrons come and explain how this is controlled by the gate voltage. (10 marks) 4b) With reference to an n-p-n transistor, explain what is Early Effect and how it arises. Using an approximate sketch show the Early Voltage. Clearly illustrate your answer with the aid of carrier profiles and common-emitter output characteristics. (10 marks) 4c) Contrast the Temperature-dependence of Avalanche Breakdown Mechanism and Zener breakdown Mechanism. Illustrate your answer with sketches of Reverse bias I-V characteristics giving physical reasons. (10 marks) Page 3 ECE 231 1/4 Formula Sheet C. R. Selvakumar ECE 231 Formula Sheet 3 1 4? *2 g c (E) = 3 (2m n ) ( E ? E C )) 2 ; (E ? E c ) h 3 1 4? *2 2 g V (E) = 3 2m p ( E V ? E)) ; (E ? E V ) h 1 f FD (E) = (E-E F )/kT 1+ e p 0 = N V e (E V ? E F )/kT = n i e (Ei ? E F )/kT () n 0 p0 = n 2 i 3/2 ? 2? m* kT ? p N V = 2? ? 2 ? ? ?h ?  µn = q? c,n m* n and  µ p = q? c,p m* p ? max = ? qN A x p0 ? 0? r qN + x n0 D = ?0? r 1/2 x n0 ? 2? r ? 0 V0 ? NA =? ? q N D (N A + N D ) ? ? ? 2? r ? 0 V0 ? ND =? ? q N A (N A + N D ) ? ? 1/2 3/2 ? p 0 + N + = n0 + N A D + ? ?2 ? N D ? NA N + ? NA ? D ? + n2 ? + n0 = i 2 2 ? ? ? ? + ? N D x n0 = N A x p0 x p0 n 0 = N C e (E F ? EC )/ kT = n i e (E F ? E i )/kT ? 2? m* kT ? n N C = 2? ? 2 ?h ? ? kT ? n no p po ? kT ? N + N A ? D V0 = ln? ?= ln? ? q ? n2 ? q ? n2 ? i i p( x n0 ) = pn e qV / kT and ? pn = pn ( e qV / kT ? 1) 1/2 for n ? type , where ? c,n and ? ,p are mean time between collisions ? = qmn n + qm p p and r = 1/s dn ? dp ? ? ? J n = q? n µn ? + Dn ? ; J p = q ? p µ p ? ? D p ? ? ? dx ? dx ? D p Dn kT = = = 0. 0259 V at 300K  µ p  µn q n( ? x p0 ) = n p e qV / kT and ? n p = n p (e qV / kT ? 1) ? p( x n ) = ? pn e or ? p( x n ) = ? pn ( 0) e ? x p / Ln or ? n( x p ) = ? n p ( 0) e ?n( x p ) = ? n p e ? xn / L p ? x p / Ln ? Dn ? Dp ? I = qA? n p0 + p n0 ? (e qV/ kT ? 1) ? Lp ? Ln ? ? ? qN ? C j = A? Si d ? ? 2(V0 ? V ) ? 1/ 2 for p + ? n diffusion capacitance: C s = q 2 AL p kT p n0 e qV/kT for p + ? n n ? type regions of width, W: long base diode approx: I p = qAD p ? pn ( 0 ) Lp short base diode approx: I p = qAD p ?p 1 dJ p ?n 1 dJ n =? + G ? Rp; = ? + G ? Rn ?t q dx ?t q dx Wm = L p = D p ? p and Ln = Dn ? n VT = d 2V d? ? ? 2= = where ? = q ( p ? n + N d ? N a ) dx ? 0 ? r dx dV 1 dE c 1 dE v 1 dE t ?= ? = = = dx q dx q dx q dx ? xn / L p 2? Si ( 2? F ) qN a for VG Vth ? pn ( 0 ) W ? Si = ? 0 ? r ? Qd Qi + 2? F + ? ms ? , Ci Ci Q d = Q B = ? qN a x dm ,x dm = Wm ? Ci = Cox = 0 ox = i t ox d 1 2? ? Z? ? I D =  µ n Ci ? ? ? (VG ? VT )V D ? VD ? ? L? ? 2 ?  µ n Ci ? Z ? 2 I DSat = ? ? (V ? VT ) V Dsat = VG ? VT 2 ? L? G ECE 231 2/4 Formula Sheet C. R. Selvakumar Eber-Moll Model (n-p-n transistor) I EBO (e VBE / Vt ? 1) â€Å"RIC I CBO (e VBC /Vt ? 1) â€Å"FIE ? VBE ? ? VBC ? I E = ? I ES ? e Vt ? 1? + ? R I CS ? e Vt ? 1? ? ? ? ? ? ? ? ? ? VBE ? ? VBC ? Vt ?e ? + I CS ? e Vt ? 1? I C = ? R I ES ? ? 1? ? ? ? ? ? ? ECE 231 3/4 Formula Sheet C. R. Selvakumar Mobilities in Silicon N = doping density (cm ? 3 )  µ (N) =  µ min + Carrier type  µ0 N 1+ N ref :min :0 cm2 / (v. s) Nref cm-3 electron 88 1251. 8 1. 26 x 1017 hole 54. 3 406. 97 2. 35 x 1017 Doping density Mobilities Lifetimes (J) as function of doping density N :n :p 1 1 = + cA N2 ? ? SRH 1015 1016 1017 1018 1019 1020 1322. 3 1218. 2 777. 3 262. 1 114. 1 91. 5 457. 96 437. 87 330. 87 43. 23 68. 77 56. 28 cm 2 v. sec cm 2 v. sec cm ? 3 Doping density N cm-3 Lifetime J sec For both electrons and holes 1015 1016 1017 1018 1019 1020 9. 8 x 10-6 8. 3 x 10-6 3. 3 x 10-6 4. 5 x 10-7 3. 3 x 10-8 8. 3 x 10-10 Obtained using the above formula for lifetime using: JSRH = 10-5/(1 + 5 x 1016/N) and CA = 10-31 cm6s-1 ECE 231 4/ 4 Formula Sheet C. R. Selvakumar Properties of Silicon and Gallium Arsenide PROPERTY Si GaAs atoms or molecules/ cm3 5. 0 x 1022 4. 42 x 1022 atomic or molecular weight 28. 08 144. 63 density g/cm3 2. 33 5. 32 breakdown field V/cm 3 x 105 4 x 105 dielectric constant, gr 11. 8 13. 1 effective density of tates: Nc cm-3 Nv cm-3 Physical Constants ?1. 38Ãâ€"10 ? 23 J / K ? k ? ?8. 62Ãâ€"10 ? 5 eV / K ? ? 31 m0 9. 11Ãâ€"10 kg ?0 8. 85Ãâ€"10 ? 14 ? r (Si) 2. 8 x 1019 1. 04 x 1019 4. 7 x 1017 7. 0 x 1018 11. 8 ? r (SiO 2 ) 3. 9 h electron affinity, eV 4. 05 6. 62Ãâ€"10 c 3Ãâ€"10 q 1. 6Ãâ€"10 4. 07 energy gap, eV 1. 12 1. 43 intrinsic carrier conc. , ni cm-3 at T = 300K 1. 5 x 1010 1. 8 x 106 effective mass electrons holes m*n = 1. 1 m0 m*p = 0. 56 m0 m*n = 0. 067 m0 m*p = 0. 48 m0 intrinsic mobility @ 300K electrons cm2/Vs holes cm2/Vs 1350 480 8500 400 diffusivity @300K: electrons cm2/s holes cm2/s 35 12. 5 220 10 F / cm 10 ? 34 J ? s cm / s ? 19 C How to cite Department of Electrical and Computer Engineering: Final Examination, Essay examples