(a) Write the modified (generalized) node equations considering the initial conditions in s-domain for the circuit given below. (b) Express the equations in the matrix form.
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- Simplify the given expression using K Map in POS form.(A+B’+D)(A’+B+C’)(A’+B+D’)(B+C+D’)Write a MATLAB function that generates the nodal coordinates and connectivity matrix for a 1D finite element mesh made up of three-node quadratic elements. Nodes and elements must be ordered left-to-right and sequentially as shown in the figure below and the location of node 1 must be located at x=0. Inputs ne is the number of elements in the mesh L is the total length of the domain Outputs The function must return a matlab structure mesh.x must be a 1xnn matrix of nodal coordinates (where nn is the number of nodes in the mesh) mesh.conn must be a 3xne matrix, where each column contains the nodes contained within the corresponding element.answer quickly and well
- in steady state space model matrix b can be used to: a. configure the output.b. facilitate a throughput of the input to the output.c. characterize the dynamic response d. none of the above(a) Determine RTh from the perspective of terminals a and c. (b) Determine RTh from the perspective of terminals b and c. (c) Determine RTh from the perspective of terminals d and e. (d) Write down the node voltage equations for V1, V2, and V3. You must leave your answer in a matrix-vector product form, but you do not need to solve it. (e) After solving the above matrix-vector equation, suppose you found V1 V2 = 3.6V, and V3 = 4.4V. Determine VTh from the perspective of terminals a and b. 6.4V, Note: If R1, R2 and R3 are the resistors in a wye connection and Ra, R, and Re are the resistors in a equivalent delta connection (using the naming convention discussed in class), the formulas for delta to wye conversion are as follows: R,Re R.R. Ra Rt R1 Ra + R, + Re' R2 Ra + R, + Re' R3 Ra + R, + R. and the formulas for wye to delta conversion are as follows: R1 R2 + R1R3 + R2R3 R2 Ra R1 R2 + R1R3 + R2R3 R1 R2 + R1 R3 + R2R3 Re R1 R3 8 V +- 2Ω V2 2Ω V3 a V, d 4 Q 4 2 b *)6 V 12 V + groundIf I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" “John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.),ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions,ExplainThemWithTheirReasons. 1. The input of the adjacent circuit is “u(t) = V1(t)" and its outputs are "yı (t) = ig1(t)" (current on R1) İR1, and "y2 (t) = V11 (t)" (Voltage on L1). R1 L1 C1 a) Obtain the state space representation of the system for "x, (t) = Vca(t)" and "x2 (t) = i1(t)". b) (in parameters) c) Obtain the state space representation of the system for the state variables ;(t) = 2ig1 (t) + V11 (t) and K2(t): = 3 ) dt. (in parameters) d) For "R1 = 1, C1 = 1, L1 = 1", find the transfer function matrix of the system separately from the…
- If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: “Chi Tsong Chen, Linear System Theory and Design" "John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.),ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions, ExplainThemWithTheirReasons. 1. Are the systems whose input-output relationship is given as below linear? Is it memoryless? Is it causal? Does it change over time? Find transfer function and impulse responses if available, explain why not. (ult) indicates the input of the system, y(t) the output. 6(t) is a unit impulse, 1(t) is a unit step function.) e. y(t) = 1(t) f. y(t) = 0If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" “John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots,Etc.),ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions, ExplainThemWithTheirReasons. 3. Consider the circuit given below. The inputs are Is1 and Is2 currents, the outputs are VC1 and VC2 voltages. C2 C1 + VC2 - + VCI ILI L1 Is1(1) Vs1 R1 R2 S VR2 (1IS2 VR1 а. Let the state variables be VC1, VC2, İL1 respectively. Write the state space representation of the system. (It will be written in terms of parameters. If not, explain why.)If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: “Chi Tsong Chen, Linear System Theory and Design" "John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.), ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions, ExplainThemWithTheirReasons. 3. Consider the circuit given below. The inputs are Is1 and Is2 currents, the outputs are VC1 and VC2 voltages. C2 C1 + VC2 - + VC1 iL1 L1 Is1(1 vs1 R1 R2: 1Is2 VR1 VR2 a. Let the state variables be VC1, VC2, iL1 respectively. Write the state space representation of the system. (It will be written in terms of parameters. If not, explain why.) b. Get the transfer function matrix of the system using the state space representation you found in part "a". (It will be written in terms of parameters. It must be done using…
- If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" “John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.),ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions, ExplainThemWithTheirReasons. 1. The input of the adjacent circuit is "u(t) = V1(t)" and its outputs are "yı (t) = ir1(t)" (current on R1) İR1, and "y2 (t) = V11 (t)" (Voltage on L1). R1 L1 C1 a) Obtain the state space representation of the system for "x, (t) = Vc1(t)" and “x2 (t) = i1(t)". b) (in parameters) c) Obtain the state space representation of the system for the state variables *1(t) = 2i1(t) + V11 (t) and 2(t) = 3dt) (in parameters)If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" “John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots,Etc.), ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions,ExplainThemWithTheirReasons. Are the systems whose input-output relationship is given as below linear? Is it memoryless? Is it causal? Does it change over time? Find transfer function and impulse responses if available, explain why not. (u(t) indicates the input of the system, y(t) the output. 8(t) is a unit impulse, 1(t) is a unit step function.) а. у(t) %3D b. y(t) = cos(3t) u(t) и(t - 2) + u(2 - t) = Sje-t+wu(w)dw d. y(t) = S u(w)dw e. у(t) %3D 1(t) f. y(t) = 0 с. у(t) %3D -2t I| %3DIf I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" “John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.), ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions, ExplainThemWithTheirReasons. 1. Are the systems whose input-output relationship is given as below linear? Is it memoryless? Is it causal? Does it change over time? Find transfer function and impulse responses if available, explain why not. (ult) indicates the input of the system, y(t) the output. 6(t) is a unit impulse, 1(t) is a unit step function.) b. у(t) %3D cos(3t) u(t) c. y(t) = f, e-t+wu(w)dw