Electrical Engineering
The following system of equations was generated by applying the mesh current law to the circuit in Fig. P12.29:
FIGURE P12.29
Solve for
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
- An aircraft wing is modelled by using a specific element type, which is defined by 2 nodes as shown below. Each node of this element has 3 Degrees of Freedom. If the total number of nodes, used for modelling the wing, is equal to 3,760 then calculate the total degree of freedom of the system. Node 1 Your Answer: element Node 2arrow_forwardHomework Q1: For the parallel network find the unknown quantities: E, R1, and 13. 12.3 A 13 R1 R2 20 N R3 4Ω 10.8 A Q2: For the below network: a. Find the total resistance RT. b. Find the source current Is and currents 12, 13 and 15. c. Find voltages V2 and V4. d. Find the total power. R3 RI 12 N R4 12 N VA E 14 V V2 R2 60 RT Q3: For the given network, calculate the resistance R3 if the current through it is 2A. R 12 N 120 V 2 A R,20Ω Rarrow_forwardCase study: Roots of equation (use any method under finding roots of equation) Problem: Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work. The following polynomial can be used to relate the zero-pressure specific heat of dry air, cp kJ/(kg K), to temperature (K): C, = 0.99403 + 1.671 × 10 *T + 9.7215 × 10 *7² -9.5838 × 10 "T³ + 1.9520 × 10¯Upt Determine the temperature that corresponds to a specific heat of 1.2 kJ/[kg K).arrow_forward
- In a linear spring finite element model, as per the finite element model’s sign convention, which one of the following statements is true? Select one: a. If Fe1 is positive then the spring is under tension b. If Fe2 is negative then the spring is under tension c. If Fe2 is positive then the spring is under compression d. If Fe1 is positive then the spring is under compression Clear my choicearrow_forwardA bronze [E = 15,200 ksi; α = 12.2 × 10–6/°F] rod (2) isplaced within a steel [E = 30,000 ksi; α = 6.3 × 10–6/°F] tube (1).The two components are connected at each end by 0.5 in. diameterpins that pass through both the tube and the rod, as shown in FigureP5.47. The outside diameter of tube (1) is 3.00 in. and its wallthickness is 0.125 in. The diameter of rod (2) is 2.25 in. and thedistance between pins is L = 21 in. What is the average shear stressin the pins if the temperature of the entire assembly is increased by90°F?arrow_forwardTwo cryptographers encrypt a secret password consisting only of nonnegative integers less than min(11, 17) using an affine cipher. They agree to use the same positive integer a in the following way: the affine key of the first cryptographer is → ax (mod 11) and the affine key of the second is xax (mod 17) (where their result is the least residue modulo 11, 17, respectively). For example, if their affine keys are →→ 3x (mod 5) and x + 3x (mod 7), and the secret password is "1,2,3", then they would produce the ciphertext 3,1, 1 and 3, 6, 2, respectively. Assume that we know that the first digit of the secret password is 1, and suppose that the encrypted message of the first cryptographer is of the form and the encrypted message of the second cryptographer is of the form (where the asterisks are numbers that we could not intercept). Enter the least positive integer a that could be used in their keys. Type your answer... 7****** 8***...***arrow_forward
- You are working in a biology lab during your summer break. Your supervisor asks you to perform an experiment to find the effective spring constant (in N/m) of a partial molecule of DNA (deoxyribonucleic acid). You perform experiments and find that a single straight portion of a DNA molecule is 2.19 μm long. You then perform an activity that charges the ends of the molecule; each end becomes singly ionized: negative on one end, positive on the other. After the ends are charged, the molecule shrinks by 1.31% of its length. 1.21e-9arrow_forwardIn a linear spring finite element model, as per the finite element model’s sign convention, which one of the following statements is true? Select one: a. If Fe1 is negative then the spring is under compression b. If Fe2 is negative then the spring is under tension c. If Fe1 is positive then the spring is under tension d. If Fe2 is positive then the spring is under tensionarrow_forward5.47 For the circuit involving ideal op amps shown in the image below, if R1 = 8 k2, R2 = 27 k2, R3 = 10 k2, and R4 = 19 kS2, determine the output voltage vo %3D Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and the proper SI unit. R2 R R3 1V 2V R4 Your Answer: Answer units o+ +arrow_forward
- 15. You are part of a team working in a machine parts mechanic's shop. An important customer has asked your company to provide springs with a very precise force constant k. To measure the spring constant, you fasten two of the springs between the ends of two very long wires of length L, separated by the unstretched length l of the springs as shown in Figure P29.15. The specific attachment method that you use insulates the springs from the wires so that no current passes through the springs. You lay the apparatus flat on a table and then pass a current of magnitude I through the wires, in opposite directions. As a result the springs stretch by a distance d and come to equilibrium. You determine an expression for the spring constant in terms of L, I, l, and d. Figure P29.15arrow_forwardTHEOREM 1.39 = "Every nondeterministic finite automaton has an equivalent deterministic finite automaton." Use the construction given in Theorem 1.39 to convert the following two nondeterministic finite automata to equivalent deterministic finite automata. a 1 2 а,b a Please Show your work (including intermediate results).arrow_forwardtwo kinds of bacteria are found in a sample of tainted food. it is found that the population size of type 1, N1 and of type 2, N2 satisfy the equation dn/dt=-0.3/N1 dn/dt=0.4/N2 N1 is equal to 1500 at time equal to zero, while N2 is equal to 30 at time equal to zero. then the population sizes are equal N1 = N2 at what time? (4 decimal places)arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY