Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Use the graphical method to show that the following model has no feasible solutions.
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- 3. Using the trial function uh(x) = a sin(x) and weighting function wh(x) = b sin(x) find an approximate solution to the following boundary value problems by determining the value of coefficient a. For each one, also find the exact solution using Matlab and plot the exact and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution, and (iii) plotting the solution) a. (U₁xx - 2 = 0 u(0) = 0 u(1) = 0 b. Modify the trial function and find an approximation for the following boundary value problem. (Hint: you will need to add an extra term to the function to make it satisfy the boundary conditions.) (U₁xx - 2 = 0 u(0) = 1 u(1) = 0arrow_forwardWater is stored in a pressurised container at a height HT= 8.4 m. It then moves through a horizontal pipe which has a height HP= 0.2 m off the ground. A fault occurs, and the water in the pipe is ejected vertically out of a valve, as shown in the figure. The jet reaches a maximum height Hj off the ground. The density of water is ρ=1000 kg/m^3, and the gauge pressure in the tank is pT= 45 kPa.a) Find the maximum height of the jet, Hj (in metres)b) Find the velocity at which the jet leaves the pipe (in m/s)arrow_forwardPlease do this in MATLABarrow_forward
- 2. An example of a linear decreasing model could be inventory in a warehouse that ships the same number of items each day. We will assume that this warehouse is going out of business, so no new calculators are being sent to the warehouse. Calculators in warehouse Calculators sold per day number of calculators sold per salesperson per day salespeople 2(a). Notice that this model has additional components shown as converters. Based on the titles of the converters, write the equation that must have been used to calculate the flow value in this model. Be sure to include appropriate units. Set the initial number of calculators to 10,000 {calculators}. If nnd that they each sell 15 modelarrow_forwardI am trying to convert orbital elements to the state vector in MATLAB. My orbital elements are as follows a = 6731; ecc = 0.01; inc = 142.461; raan = 155.9325; argp = 321.0439; f = 145.8291; After transforming them I get : x = 3898.6; y = 3898.6; z = 3957; vx = 5.9771; vy = -4.5575; vz = -1.3245; I am wondering if the transformation is done correctly. Because x, y, and z are defined from earth's radius to the spacecraft, right? If that is the case then x, y, and z should have values greater than the earth's radius. Is my assumption correct?arrow_forwardMATLAB support with the following:arrow_forward
- D 3.4-5. Consider the following problem, where the value of c, has not yet been ascertained. Maximize Z = c,x1 + 2xz, subject to 4x1 + x, < 12 X - x, 2 2 and X 20, X2 2 0. Use graphical analysis to determine the optimal solution(s) for (x1, X2) for the various possible values of c1.arrow_forwardUse the graphical method to find the optimal solution for the following LP equations: Min Z=10 X1 + 25 X2 Subject to X1220, X2 ≤40 ,XI +X2 ≥ 50 X1, X2 ≥ 0.arrow_forwarduse matlabarrow_forward
- Introduce slack variables as necessary and then write the initial simplex tableau for the given linear Maximize z = x₁ + 9x2 programming problem. subject to x₁ + 2x₂ ≤ 12 6x₁ + x₂ ≤ 10 2x₁ + 2x₂ ≤8 with x₁ ≥0, X₂ ≥0 Complete the initial simplex tableau. X₁ X2 S₁ $2 $3 1 2 1 6 0 1 10 0 0 8 0 0 0 1 0 N NAT 2 ܘ ܘ ܤ N оооarrow_forwardUsing masons rule find the transfer function G(s) = C(s)/R(s)arrow_forwardA projectile is launched with a velocity of 100 m/s at an angle of 30° above the horizontal. Create a Simulink model to solve the projectile's equations of motion, where x and y are the horizontal and vertical displacements of the projectile. X=0 x(0) = 100 cos 30º x(0)=0 ÿ=-g y(0)=0 y(0)=100 sin 30º Use the model to plot the projectile's trajectory y versus x for 0≤t≤10 s.arrow_forward
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