Notation used are standard notation.
Question 1 In a given electrical network, the equations for the currents i,, i ,, are...
Question 1 In a given electrical network, the equations for the currents i,,iz, i, are given by 4+₂ +4i₂ = 0 2i, - iz + z = 5.4 i, +2i, - i = 9.2 Use Gaussian elimination method to evduate the three currents. (10 marks) Question 2 The matrix A of the system AX = AX is given by (10-1 A = 3 1 4 02 2
Related to maths In a given electrical network, the equations for the currents .., are given by +1 +11,0 21 - ₂ + 1 = 5.4 4+21,-1= 9.2 Use Gaussian elimination method to evaluate the three currents (10 mark Question 2 The matrix A of the system 1X = AX is given by 10 A=3 4 0 2 2 (a) Find the eigenvalues of A. (8 m (b) Determine the corresponding eigenvectors of A. (12 m 36 weet nhunted States
Related to maths Use Gaussian elimination method to evaluate the three currents. Question 2 The matrix A of the system AX = 2X is given by 10-1 A = 31 4 0 2 2 (a) Find the eigenvalues of A. (b) Determine the corresponding eigenvectors of A. in United States
The system of differential equations for the currents i1 (t) and i2(t) in the electrical network shown in the figure is dt(々 =( R2-212/ R2/L1 Use variation of parameters to solve the syster if R1 = 8 Ω, R2-3 Ω, L1 = 1 h, L2-1 h, E(t) = 150 sin(t) V i1(0) = 0, and i2(0) = 0. (i1 (t),ら(t) = R2 し2
Related to maths MUID-TERM (40 marks) Instructions: Attempt ALL qtion Show COMPLETE working Question In geven electrical network, the equations for the events i... are given by 21-5+59 1 4+39-6-07 3,2,=-3.1 Use Gaussian cumination method to evaluate the recent (10 marks) Question 2 The mate of the system XXX given by (110 =10 11 1 0 1 Find the eigenvalues of A (& marks) Determine the corresponding cige vectors of 4 (12 marks) Question 3 inted Statesi imo e 1...
a) [15 marks] Write the differential equations that describe the behavior of the electrical system shown in Figure 1. Assume that all electrical components behave linearly. Note that v(t) is an external input voltage signal, and vi(t) is the output voltage signal, respectively. 0000 1H 1Ω 1Ω M v(t) Figure 1. Electrical network for question 1. Use the currents ij, iz, and iz which flow through the inductors next to the red, green, and blue arrows, respectively, as the key...
5. Figure 5 shows an electrical network, i) obtain the differential equations of the network and nofind the transfer function F(s) show that the same transfer function is obtained 12(s)/Vin(s); ii) Analyse the circuit in the s-domain and R. C i2(t) Vin(t) L Figure 5. Electrical Network 4. Find the transfer function X2(s)/F(s) of the spring-mass system shown in Figure 4. The system moves over a frictionless surface. h M2 M1 Figure 4. A 2 DOF spring-mass system over a...
(a) Write the equations using the mesh currents (b) Write the equations in standard form (ci) Find the mesh currents (s) (d) Find the power developed the current and voltage sources Problem 8: Find iA and power developed by (a) independent source (b) dependent Source 10 kn 1 kn i 5.4 kn 150 iA 5 mA 2.7 k (a) Write the equations using the mesh currents (b) Write the equations in standard form (ci) Find the mesh currents (s) (d)...
Use Gaussian elimination method to solve the following system of linear equations. 7x +10y+5:-4 13x+6y +2:-31 Ilx+14y+8:-63 (10 marks)
Given the system of linear equations 5?1 + 2?2 + ?3 = 45 −2?1 + ?2 − 3?3 = −4 4?1 − ?2 + 8?3 = 2 a. Write the augmented matrix b. Solve the system by Gaussian elimination & backward substitution method.