Problem 1: Homework 03 Electrical Circuits: Problem 2: Problem 3: Problem 4: - + Problem 5:

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Presentation transcript:

Problem 1: Homework 03 Electrical Circuits: Problem 2: Problem 3: Problem 4: - + Problem 5:

Problem 1: Lagrange Equation V1V1 + - L C R Click for answer. As shown in the circuit, V 1 is the input, q and q 1 generalized charges. Write the energy expressions for the circuit. Establish the mathematical model by applying Lagrange equation. Find determinant equation which gives eigenvalues.

- + C3C3 C2C2 C1C1 R3R3 R1R1 R2R2 V2V2 V1V1 Problem 2: Lagrange Equation in op-amp: Click for answer. As shown in the circuit, V 1 is the input, q 1, q 2 and q 3 generalized charges. Write the energy expressions for the circuit. Establish the mathematical model by applying Lagrange equation. Find determinant equation which gives eigenvalues.

Problem 3: + - V1V1 A R1R1 R2R2 C1C1 C2C2 Lagrange Equation Click for answer. As shown in the circuit, V 1 is the input, q 1 and q 2 generalized charges. Write the energy expressions for the circuit. Establish the mathematical model by applying Lagrange equation. Find determinant equation which gives eigenvalues.

Problem 4: Lagrange Equation Click for answer. C2C2 A - + V1V1 R1R1 R2R2 C1C1 As shown in the circuit, V 1 is the input, q 1 and q 2 generalized charges. Write the energy expressions for the circuit. Establish the mathematical model by applying Lagrange equation. Find determinant equation which gives eigenvalues.

Problem 5: In op-amp: Click for answer. Lagrange Equation (Maddock, p.499) As shown in the circuit, V 1 is the input, q 1 and q 2 generalized charges. Write the energy expressions for the circuit. Establish the mathematical model by applying Lagrange equation. Find determinant equation which gives eigenvalues. V1V1 A - + R1R1 R2R2 C2C2 C1C1 VAVA