Problem 1. (25 pts) For this problem, consider a right-hand coordinate system wherein the x-axis is directed to the right on your paper, the y-axis is directed toward the top of your paper, and the z-axis is pointing out of your paper. A winding with 4 turns is wound around the rectangle with corners (x,y,z) = (0,2,1), (0,2,3), (2,2,3), and (2,2,1). The winding is wound such that the direction for positive flux is in the same direction as the positive y-axis. Now suppose that within the rectangle B=(1+2yxz)aysin(100t) T{“version”:”1.1″,”math”:”B=(1+2yxz)aysin(100t) T”} where ay{“version”:”1.1″,”math”:”ay”} is the unit vector is the y direction, and t represents time. The winding (coil) is open circuited. Using the definition of flux, flux linkage, and Faraday’s law determine an expression for the voltage (as a function of time) that would be measured across the coil, assuming the usual passive sign convention we used in class. The answer should be of the form v=57sin(100t+π/4){“version”:”1.1″,”math”:”v=57sin(100t+π/4)”} (which is incorrect, but you get the idea). Problem 2. (25 pts) Consider the EI core device below. Derive an expression for the absolute value of electromagnetic force on the I-core in terms of N, i, ds, ws, w=wb=we=wi=wc/2, g, μr{“version”:”1.1″,”math”:”μr”}, and the permeability of free space μ0{“version”:”1.1″,”math”:”μ0″}. Problem 3. (25 pts) Consider the transformer T-equivalent circuit (referred to the primary). The primary to secondary turns ratio is 3. Given the primary voltage and that the radian frequency is ωe{“version”:”1.1″,”math”:”ωe”}, we want to find the actual secondary voltage. (a) 6 pts. If the physical resistance of 4 Ohms is placed on the secondary, what value of resistance do I use when performing calculations on the equivalent circuit? (b) 6 pts. Write an expression for Zb as we used it in class. Use symbols when you don’t have numerical data. Something like Zb=3r1+jωeLl1+jωeLm4jωeLm+4{“version”:”1.1″,”math”:”Zb=3r1+jωeLl1+jωeLm4jωeLm+4″} (which is incorrect). (c) 7 pts. Suppose the phasor representing the magnetizing voltage is denoted v~m{“version”:”1.1″,”math”:”v~m”} and the radian frequency is ωe{“version”:”1.1″,”math”:”ωe”}. Derive an expression for the phasor representing the referred secondary voltage in terms of v~m{“version”:”1.1″,”math”:”v~m”}, ωe{“version”:”1.1″,”math”:”ωe”}, and the equivalent circuit parameters (using symbols where you don’t have numerical values as in part (b)). (d) 6 pts. Suppose v~2’=30∠20°{“version”:”1.1″,”math”:”v~2’=30∠20°”}. Write a corresponding expression for the secondary voltage in the time domain as we would measure it with an oscilloscope. Here your answer should look like v2=257cos(ωet+5π180){“version”:”1.1″,”math”:”v2=257cos(ωet+5π180)”}, which is wrong but again you get the idea. Problem 4. (25 pts) Consider the following flux linkage equations. Determine the following: (a) {5 pts} if the system is magnetically linear (b) {15 pts} the field-energy (c) {5 pts} electromagnetic force in terms of x{“version”:”1.1″,”math”:”x”}, λ1{“version”:”1.1″,”math”:”λ1″}, and λ2{“version”:”1.1″,”math”:”λ2″}. Also note that the system is conservative, so you won’t need to verify this. i1=λ1+10(λ1+2λ2)3(5+x)i2=2λ2+20(λ1+2λ2)3(5+x){“version”:”1.1″,”math”:” i1=λ1+10(λ1+2λ2)3(5+x)i2=2λ2+20(λ1+2λ2)3(5+x)”} Congratulations, you are almost done with Exam 1. DO NOT end the Honorlock session until you have submitted your work to Brightspace. When you have answered all questions: Use your smartphone or scanner to scan your answer sheet, and save the scan as a PDF. Make sure your scan is clear and legible. Submit your PDF as follows: Email your PDF to yourself or save it to the cloud (Google Drive, etc.). Submit your exam to this assignment: Exam 1 Return to this window and click the button below to agree to the honor statement. Click Submit Quiz to end the exam. End the Honorlock session.
A _______ is a type of protein secondary structure which occ…
A _______ is a type of protein secondary structure which occurs in proteins comprising repeating proline residues.
Which structure below indicates the proper hydrogen-bonding…
Which structure below indicates the proper hydrogen-bonding pattern between amino acids in an α-helix? (Dashed lines represent the hydrogen bonds.) A) B) C) D)
Which of these are NOT membrane bound organelles? (Multiple…
Which of these are NOT membrane bound organelles? (Multiple Answers)
Which statement is TRUE about the side chains (R groups) of…
Which statement is TRUE about the side chains (R groups) of amino acids in an α helix?
A new-graduate nurse is caring for a patient with a diagnosi…
A new-graduate nurse is caring for a patient with a diagnosis of stage 4 pancreatic cancer. When the nurse goes into the room to do their morning assessment, the patient introduces them to their partner, who they refer to as their wife. After talking with them, they disclose that they’ve been together for 32 years but never got married. Which of the following proves that the new-graduate nurse needs further education?
Which of the following medications used for nausea and vomit…
Which of the following medications used for nausea and vomiting has the potential to cause QTc prolongation and requires caution in patients with bowel obstructions?
Scenario:Mr. John Smith, a 72-year-old man, has been receiv…
Scenario:Mr. John Smith, a 72-year-old man, has been receiving palliative care for advanced pancreatic cancer. Despite efforts to manage his symptoms, his condition has progressively worsened, and he is now in the final stages of his illness. Mr. Smith recently has had a decreased appetite and has been eating very little. Mr. Smith has expressed his wishes clearly to his healthcare team and family: he does not want to receive IV fluids or enteral feeding. He has discussed his decision with the palliative care team, who support his autonomy and have reassured him that this approach aligns with best practices for comfort care. However, Mr. Smith’s family is struggling to accept his decision. His adult children, Sarah and Michael, believe that withholding artificial hydration and nutrition is equivalent to “starving him to death” and feel that starting IV fluids and a feeding tube would prolong his life and believe it will help him feel better. They argue that not providing these measures is unethical and are pressuring the healthcare team to intervene. This disagreement has caused emotional distress for both the family and Mr. Smith, who feels his autonomy is being challenged. The healthcare team is now seeking to mediate this ethical conflict while honoring Mr. Smith’s wishes and providing support to his family. For each discussion question, please provide a thoughtful response (minimum 2-3 sentences). 2. What are the risks associated with artificial hydration and enteral nutrition at the end of life? (discuss a minimum of 3)
Please fill in the blanks, for the amino acid: Three lett…
Please fill in the blanks, for the amino acid: Three letter code Isoelectric point L or D configuration Charge at pH 3 Charge at pH 4 Charge at pH 2
Which of these statements is NOT true about β-sheets?
Which of these statements is NOT true about β-sheets?