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Fundamentals of Electromagnetics with Engineering Applications
- Evaluate ff, y dx dy where R is the region bounded by the parabola y2 = 4x b) and x2 = 4y.arrow_forward(s - 2) T(s) s² (K + 2)s + (2K + 5) Using the Routh Hurwitz Criterion for Stability, find the range of values of K for the system to be stable. For Problem Number Two, answer the following questions. Question 12 For the system to be stable, K should be greater than what value? Express your answer into 2 decimal places. Blank 1 Blank 1 Add your answer Question 13 For the system to be stable, K should be less than what value? Express your answer into 2 decimal places. Blank 1 =arrow_forwardle is belo w zero A system with characteristic equation F(s) = s + 6s + 23s2 + 40s + 50 will have closed loop poles such that (a) All poles lie in the left half of the s-plane and no pole lies on imaginary axis (b) Two poles lie symmetrically on the imaginary axis of the s-plane (c) All four poles lie on the imaginary axis of the s-plane (d) All four poles lie in the right half of the s- planearrow_forward
- Q1.A The TF may be written in state space model ,hence the order of the system may be changed due many reasons explain the correct answer of this situation. Q1B. The canonical observable state space of the system below : H(s): .? s +3s² + 2s +1 A -0 1 and C = [1 o) -1 -2 -3 B A- and C = (0 O 1] -1 -2 -3 1 C 1 and C dC = [0 0 1] A - -3 -2 -1 D A-o -3 1 and C = [1 o] -2 -1arrow_forwardComplete the squares and locate all absolute maxima and minima, if any, by inspection. Then check your answers using calculus. f(x, y) = 50 – 10Ox + x + 10y + y f has a(n) at ( i iarrow_forward\A: 49 79 102 B/s O Homework 3 c... 8-z e r 9-Z Et-T) Stee) (156) Z-trans form Honawor K 2 QI Find 3. Finad Ihe Zor xin) for れ) 4- Cansider the linear Carstont Cacffeient i threace equatiora Qs yen)= 0-25 yen-a) + X(n), (157)arrow_forward
- Solve the damping ratio of the given system, Figure 10, if D=1, %OS = 30% and Ts = 3 sec. The input is a unit step. %3D T(t) oll FIGURE 10 O No correct answer. My solution is attached at the last part. O 0.6784 O 0.3579 O 0.5432arrow_forwardThe characteristic equation of a system is given ass3+25s2+10s+50=0. What is the number of the roots in the right half s-plane and the imaginary axis respectively?(requires solution-no solution incorrect answer) * s3+25s² + 10s + 50 = 0arrow_forward1. Realize the given admittance function Y(s) in the circuit form given in Figure 1. Y(s) s² + 4s +3 s² +68+8 Y(s) Ra Rb Cb Rc Marrow_forward
- - Prove that: (A x B). (A x B) = A²B² – (A · B)².arrow_forwardQ\ Derive the following law? 120f N = p1+p2arrow_forwardSolve for the state-space representation of the following translational mechanical system. D M₁ X1 What is the value of B? K 10000 Frictionless M₂ x2 M1 = 10 kg, M2 = 5 kg, K = 20 N/m, D=5 N-s/m or 5 N/(m/s) Solve for matrices A and B in the state space representation * = Ax+Bf(t), where x = [X₁ V₁x2 V₂]T. Follow these steps: 1. Write the equations governing the motion of each mass. 2. Re-arrange the equations and convert to matrix form. Note that v₁ = What are the elements of A and B? A: - f(t) ₁ and v₂ = 2.arrow_forward
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