...EM Fields and Waves Assignment 1 Energy and Potential In Electric Field it solution Contents Introduction: 3 Electric Field Intensity: 3 Electric Field Strength (First Formula): 3 Electric Field Strength (Second Formula): 4 Energy: 5 Potential Difference and Potential: 5 Electric Potential at a point due to Point charge: 6 Potential Gradient: 8 Conclusion: 10 Table of Figures: Figure 1: Field is radial 8 Introduction: As we know that every electrically charged particle exerts an equal and opposite force on other charged particle/object. These electrically charged particles are surrounded by a field known as electric field. Electric field helps in depicting the force which these particles exert on each other. It is a vector field and its SI unit is NC-1. We use coulombs’ law to find electric field of different charged particles. But as it is quite complicated because of its vector analysis and integration for each component, we try to find a much simple way to find it, in which single integration can give us the required scalar quantity, which can be used to find electric field. This scalar quantity is known as potential or potential field. Electric Field Intensity: The electric field of a charged particle explains the strength of a charged particle depending on its distance from that specific point. The charge also tends to change that field accordingly when any other particle tries to enter...
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... Electric Fields Questions: A. What generalizations can you make from this exploration? a. There should be an equal amount of positive and negative charge within the water. If the space was equal on both sides, then the potential lines should equal, but because there was more space between the upper charge and the wall of the container, the charges were more compact than the lower charge. The positive charge should have a higher amount of energy. B. Where would a positive test charge have the least potential energy? b. A positive test charge would have the least potential energy when it gets closer to the negative test charge because as it gets closer, the potential energy of the positive charge decreases. C. How much energy must you add to the system to move 1 electron 1 m in a direction along one of the equal potential lines? c. In order to move one electron one meter in a direction along one of the equal potential lines, you have to double the amount of energy in the electron just to get it to barely move. D. If lightning strikes a tree 20 m away would it be better to stand facing the tree, your back to the tree, or your side to the tree? Assume your feet are a comfortable shoulder width apart. Explain your answer. d. In order to decrease the electric potential difference, it is best to stand with both feet at equal distances away from the lightning tree so standing sideways would increase the electric potential...
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...sim=Electric_Field_Hockey and click on Run Now. 1. You rub balloons in your hair and then hang them like in the picture below. Explain why you think they move apart and what might affect how far apart they get. ANSWER: The transfer of static electrons as the balloons rubs increases each balloons electrostatic charge. Since they are both the same charge, the electromagnetic fields generated repel each other. The distance the balloons repel each other could be affected by how long the balloons are rubbed together as well as the moisture level of the air and balloon material. A more humid environment would limit the potential for static buildup, and a balloon made out of paper would not easily hold a static charge, because wood is a good insulator. It doesn’t easily conduct electricity, which is why trees sometimes appear exploded from lightning strikes. The lightning literally ripped through the tree. The number of electrons that are charged in each body is also a possible factor, which ties into what type of material the balloons are. 2. Test your ideas using Electric Field Hockey in the Practice mode. Make a table to record your observations about what affects the direction and speed of the puck. Your table should demonstrate that you have run controlled tests with all the variables. ANSWER: # of Positive Charges # of Negative Charges Charge Placement (Relative to puck) Result 0 2 Goal Center Puck is drawn to goal more quickly 0 1 Goal Center Puck is...
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...12 IV. Question 3: 17 A. Cost of conducting Material 18 B. Mass of conducting Material 18 C. Volume of Conducting Material 19 V. Conclusion: 19 Abstract: The purpose of this project is to design a shielded room. The room should be built in a way so that high-frequency waves cannot penetrate into the room. The material that should be used are nonconducting, nonmagnetic material with a thin coating of conducting material on the outer surface. The conducting layers that can be used are made of aluminum, copper, mu-metal, or conducting polymer. Frequency=10 MHz ω=2∙π∙f=2∙π∙(10× 〖10〗^6 )=62.83×〖10〗^7 [rad⁄s] The shielded room must reduce the electric field intensity by a factor of 〖10〗^6 There are different cases other than the material we should consider, we should also consider the type of incidence the electric field is at, and for that we have a couple of different cases which include: Normal Incidence Oblique incidence (sub divided into) Parallel polarization. Perpendicular polarization Question 1 Using professional sources (the book) we obtained the conductivity, permeability, cost, and density of the following four materials Table 1: Table of values Material Conductivity [σ] Permeability [μ] Density [kg/m^3] Cost [Unit/Kg] Aluminum 3.6 × 〖10〗^7 µ0 2700 1.5 Copper 5.7 × 〖10〗^7 µ0 8960 1 Mu-metal 0.5 × 〖10〗^7 〖10〗^5 µ0 7800 100 Polymer 0.001 µ0 1200 0.01 We assumed that ɛ = 1 for conductive materials, Question 2 We now have to calculate the...
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...completed a Multiclient Data Acquisition Program validating the newly developed Towed Streamer Electromagnetic System during October 2012. The Multiclient program was conducted in conjunction with pre-funded surveys. This is a significant milestone that marks the arrival of an effective, commercially viable and highly efficient new method for acquiring resistivity data to the market. See further details Electromagnetic Streamer development has been a major R&D focus within PGS since 2004, complemented by the acquisition of MTEM Ltd. in 2007. Successful field trials with prototype systems were completed over the Peon and Troll fields (North Sea) during 2009 and 2010. A further validation trial was conducted in 2011.The principle objective of this new approach to Controlled Source Electromagnetics (CSEM) is to provide: Resistivity Surveys to enhance subsurface understanding, discoveries are becoming less obvious and fewer large fields are being found. Adding electromagnetic data to seismic can highlight prospective areas that may have been overlooked. Information – Intelligence having an additional attribute to use in the delineation and characterization of potential reservoirs can reduce risk and improve drilling success. How it operates The new Electromagnetic Streamer can be deployed from a seismic vessel and can acquire data at similar speeds to seismic operations. Already proven to be effective in water depths between 50m and 400m, the future development program will aim...
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...Electrostatics Problem Purpose The purpose of this problem is to compute the value of electric field and of electric potential for points around and inside two capacitors (one cillindrical and one parallel plate) and to see their interaction (influence). The problem proposed is solved in FEMM 4.2. The problem: Consider the following figure: a = 1 cm b = 2 cm c = 2 cm d = 3 cm d c b a r = 4 cm R=5 cm There will be two cases. In the second case the Water is heated from 20 to 50 degrees and the Polyamide is replaced by Ethanol. The boundary edges are 50cm long. The model has a depth of 20cm. Used materials: Case 1 | Case 2 | Material | εr | Material | εr | Air | 1 | Air | 1 | Water@20 degrees Celsius | 80.4 | Water@50 degrees Celsius | 78.5 | Marble | 8 | Marble | 8 | Paper | 3 | Paper | 3 | Polyamide | 2.5 | Ethanol | 25 | I. Mesh Test We will test three different sizes of mesh on the initial case. Figure 1: 1246 nodes Figure 2: 12315 nodes Figure 3: 73090 nodes Cylindrical capacitor charge: 0.01 C Parallel plate capacitor charge: 0.0001 C Point | Mesh1: 1246 nodes | Mesh2: 12315 nodes | Mesh3: 73090 nodes | x | y | E | U | E | U | E | U | -1.5 | 1.2 | 1.75678 e+008 V/m | 3.45802 e+006 V | 1.80388 e+008 V/m | 3.6626 e+006 V | 1.81842 e+008 V/m | 3.65247 e+006 V | 1 | 1.2 | 1.37116 e+008 V/m | 3.57244 e+006 V | 1.39523 e+008 V/m | 3.78466 e+006 V | 1.40461 e+008 V/m | 3.77762 e+006 V | 1 | -0.2 | 1.28582 e+008...
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...New Sport Facilities Management Outdoor Campus Recreation Field Facility We will be conducting an outdoor campus recreation facility. The facility will include 2 soft-ball fields as well as 2 multi-purposed fields. These will provide different areas to focus on such as budget of the whole construction and facility usage, where the location in University of Akron we will put the facility in, what the facility will offer, who will be managing the program of the facility, and who will be the architecture to construct the facility. We will also demonstrate the pros and cons of each of the focus areas. The budget for the softball fields as well as the multi-purpose fields are as follows. For general construction costs, $500,000 will be allocated to finish the projects construction. Some specific costs will be the purchasing of the soccer and lacrosse goals that can be added and removed from the field which will be $2,000. Another specific cost will be the fencing around the softball fields which will be around $1,000. Costs for keeping up the inventory of the concession stands will be around $12,000 per year. The costs to keep the inventory stocked for the sports-wear store inside the softball fields will be around $50,000, selling things such as T-Shirts and Hoodies, along with many other types of sports apparel. The cost of utilities will be around $180,000 per year. Some specific utility costs are electric which will be about 150,000 per year and water, which will be around...
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...Chapter 17 Electric Potential Units of Chapter 17 • Electric Potential Energy and Potential Difference •Relation between Electric Potential and Electric Field •Equipotential Lines and surfaces •The Electron Volt, a Unit of Energy •Electric Potential Due to Point Charges •Potential Due to Electric Dipole; Dipole Moment •Capacitance, Dielectrics and Storage of Electric Energy Electrostatic Potential Energy and Potential Difference The electrostatic force is conservative – potential energy can be defined as ΔPE= -W Change in electric potential energy is negative of work done by electric force: W =Fd=qEd Electric potential is defined as potential energy per unit charge: Unit of electric potential: the volt (V). 1 V = I J/C. Only changes in potential can be measured, Electrostatic Potential Energy and relation between Electric potential and Electric field Analogy between gravitational and electrical potential energy: Work is charge multiplied by potential: Work is also force multiplied by distance: If the field is not uniform, it can be calculated at multiple points: Solving problems Example 17-2: suppose an electron in a picture tube of television set is acclerated from rest through a potential difference of Vb-Va = Vba = + 50000V. (a) What is the change in electric potential energy of the electron? (b) What is the speed of the electron as a result of this acceleration? Equipotential Lines Electric potential can be represented with diagram...
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...lines. Power lines are one of the cheapest was to deliver power across a distance. They are connected to tall posts which are convenient for the business and the power company. The heights at which they are located are far enough above ground that there is less noise and interference. Things such as builds or walls interfere with the electric and magnetic field that is being given off by the power lines. The problem really affects cities the most. In most major cities such as New York, there is no land to really build on so much business and homes build up. This is quite apparent because New York houses some of the world’s tallest buildings. One of which is the Empire State Building. Aside from this, the power companies still have to run and deliver power to the homes and businesses. The problem is the health problems that are caused by the electric and magnetic fields in children and the elderly. In order to investigate the problem, there is some basic information that needs to be analyzed. First, the definition of an electromagnetic field must be known. Electromagnetic fields (EMF) are areas that contain energy due to the flow of electric current. EMF’s are present around devices such as household...
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...Company Huffman Trucking is a privately owned transportation company that has been in business for 60 years. The company has grown into a multi million-dollar company with over 1,400 employees and hundreds of vehicles. Huffman Trucking needs a better way to track the maintenance on their fleet of tractors, trailer and the roll-on/roll-offs. The fleet has to undergo periodic maintenance. Plan Putting the equipment's maintenance history, the parts used and vendor information into one database will save Huffman Trucking time and money. The database can include parts inventory information, parts catalogue information, the vendors used and their associated information, and parts purchasing history. The database will include all the maintenance history on each piece of equipment, such as the maintenance of the equipment itself, tire maintenance, the type of maintenance and the maintenance work orders. Conclusion Building a database saves money on maintenance by reducing redundant information and improving record keeping. Both the service and accounting departments will be able to utilize this database to keep track of parts purchases and costs. Having all the information in one central database would allow the diverse facilities to use the database. This type of centralization would bring more accuracy in Huffman Trucking's record keeping and would save money, time and manpower. Huffman Trucking Fleet Maintenance Database Solution Introduction Huffman Trucking is a...
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...Here are my two expressions X^2-36/3x and 7w-2/16w^2-1 The domain of a rational expression is the set of all numbers which are allowed to substitute for the variable in the expression. It is possible that some numbers will not be allowed depending on what the denominator has in it. In our Real Number System division by zero cannot be done. There is no number (or any other object)which can be the answer to division by zero so we must simply call the attempt “undefined.” A denominator cannot be zero because in a rational number or expression the denominator divides the numerator. In my first expression, the denominator is a constant term, meaning there is no variable present. Since it is impossible for 3x to equal zero, there are no excluded values for the domain. We can say the domain (D) is the set of all Real Numbers, written in set notation that would look like this: For my second expression, I need to set the denominator equal to zero to find my excluded values for w. 16w^2– 1 = 0 I notice this is a difference of squares which I can factor. (4w +1)(4w - 1) = 0 Set each factor equal to zero. 3w – 2 = 0 or 3w + 2 = 0 Add or subtract 2 from both sides. 4w = -1 or 4w = 1 Divide both sides by 4. w = 1/4 or w = -1/4 These are the excluded values for my second expression. The domain (D) for my second expression is the set of all Reals excluding ±1/4. In set notation, this can be written as D = {w| w ∈ ℜ, w ≠ ±1/4} Now, both of my...
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...ACC 3300- Access Assignment Table: Customer, field name customer phone number. I placed a validation rule and a text rule where the area code of a customer’s telephone number can only contain 303 or 720. I did because I felt that the company was too small and did not have the resources to ship baskets outside Colorado. If the company should grow and expand and if revenue increases, the validation rule will no longer exist. Table: Custom Gift Basket Order/ Design, field name order date. One of the controls that I placed in this field was that the date needed to be entered in the system a specific way. I placed an input mask of the format for the date that I wanted the system to recognize. The format for the date is 99/99/0000, once a date is added to Access; Access will then rewrite it and display it in a written format of the date and the month. An example will look something like this 04/16/2013 will equal out to be Wednesday, April 16, 2013. Table: Customer, field customer name, customer address. Another control added to these fields is that a limit was placed on how many characters a field would contain; instead of having the limit that Access provides which are 255 characters in a field. I thought was too much and decided to shorten the length requirement. In the fields the customers name can only contain 12 characters and customers address is only limited to 50 characters. Basic information is needed from the customers; the company doesn’t need any explanations...
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...boxes that appear on the screen. When you are done, click on the right arrow to go to the next page. Next Page Keep reading each page until you come to page 9. On this page you are given a task to perform. Notice that where you are to click is outlined in red. Be sure to perform all tasks as you go through the lab. Perform this task 10. Take each quick quiz as you go through the topics to help ensure that you are mastering the material. 11. You are not required to turn in any work from this online lab. Part 2 – Designing databases Review and Definitions: * The hierarchy of data begins with a character, a collection of related characters is a field, a collection of related fields is a record, a collection of related records is a file, and a collection of related files is a database. Example of fields used in a student database would be “Last Name”, “First Name”, “SSN”, “Major”, and “GPA”. A record in a student...
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...A set of real numbers used in place of a variable (x, y, z, etc…) is called the domain. Real numbers are used in place of variables to assist in the functionality of the equations. This excludes any real number that causes the denominator to be zero. The reason a denominator cannot be zero is because when we divide the denominator with the numerator, you cannot divide by zero. You can’t have a value that is undefined. The two problems that I was assigned are as follows: 1-x2x 2b-22b2-8 In my first expression, I start by transforming it to a rational expression (1-x) (1+x). Since each set contains terms that are perfect squares, I will factor using the difference of squares formula: a²-b²= (a-b) (a+b). In my problem, a = x and gives me: (-x+1) (x+1). Next, I reorder the polynomial from left to right starting with highest order term which is x = 0 As stated above, the domain of an expression is all real numbers except when the expression is undefined. Type equation here. (1-x)(1+x)x I simply the FOIL expression by multiplying and combining like terms giving me: 1-x2x I divide each term in the numerator and denominator. Then I reduce the term by removing the factor of x giving me the expression: 1x-x The Domain (D) is the set of all Real Numbers, written in set notation that would look like this: D = {x| x ∈ ℜ} The final answer is: x≠0 Undefined written in set notation. D={x|x ∈ R, x ≠ 0} In my second expression, I will start by factoring...
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...CMIS102 Homework Assignment # 1 Student Name: Matt Marshall Problem definition: Calculate the usable area in square feet of a house. Assume that the house has a maximum of four rooms, and that each room is rectangular. A. Problem Analysis – Desired Output: The sum of the two integers Required Input: 2 integers. a and b Calculations: A*B=C B. Program Design – This program will sum two integer numbers to receive a third integer number. //Declare variables Declare a,b,c as Integer // Set values of Integers Set a= Set b= Set c=a+b // Print c Print a,b,c C. Program Comments and Test Data – Following the directions in the assignment, include your test data and expected results in this section. (The Comments section is for specifics about how you designed your program, any problems you had, how you solved them, lessons learned, and how you would improve the program if you had more time. This is normally used by programmers who may come back to the program later.) Table 1. Include your test data table here. Show at least 3 examples sets of test data. Test data is normally designed before the program is written. It is used after the program is completed to test and ensure it works as it was designed to work. |Test Case # |Input |Expected Output | |1 ...
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