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An application of Kirchhoff's Current Law to the circuit with nodal voltages in Figure 2 gives rise to the following simultaneous equations. (a) (b) (c) 5 A 10 Ohms 20 Ohms www V₂ 50 Ohms Figure 2 40 Ohms V 0.15-0.1₂ -0.05V = 5 -0.1V +0.145V₂ -0.025V = 0 -0.05V, -0.02V₂ +0.075V₂ = 2 Compute the determinant of the matrix Y. Compute the inverse of the matrix Y. 2 A By Matrix Inversion method using YV = I, determine the nodal voltages of V₁, V₂ and V₂.

An application of Kirchhoff's Current Law to the circuit with nodal voltages in Figure 2 gives rise to the following simultaneous equations. (a) (b) (c) 5 A 10 Ohms 20 Ohms www V₂ 50 Ohms Figure 2 40 Ohms V 0.15-0.1₂ -0.05V = 5 -0.1V +0.145V₂ -0.025V = 0 -0.05V, -0.02V₂ +0.075V₂ = 2 Compute the determinant of the matrix Y. Compute the inverse of the matrix Y. 2 A By Matrix Inversion method using YV = I, determine the nodal voltages of V₁, V₂ and V₂.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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QUESTION 3 An application of Kirchhoff's Current Law to the circuit with nodal voltages in Figure 2 gives rise to the following simultaneous equations. (a) (b) (c) V. 10 Ohms 5 A ↑ 20 Ohms www V 2 40 Ohms 50 Ohms Figure 2 V 2 A 0.15-0.1V₂ -0.05V = 5 -0.1 +0.145V₂ -0.025V = 0 -0.05V, -0.02V₂ +0.075V = 2 Compute the determinant of the matrix Y. Compute the inverse of the matrix Y. By Matrix Inversion method using YV = I, determine the nodal voltages of V₁, V₂ and
Transcribed Image Text:QUESTION 3 An application of Kirchhoff's Current Law to the circuit with nodal voltages in Figure 2 gives rise to the following simultaneous equations. (a) (b) (c) V. 10 Ohms 5 A ↑ 20 Ohms www V 2 40 Ohms 50 Ohms Figure 2 V 2 A 0.15-0.1V₂ -0.05V = 5 -0.1 +0.145V₂ -0.025V = 0 -0.05V, -0.02V₂ +0.075V = 2 Compute the determinant of the matrix Y. Compute the inverse of the matrix Y. By Matrix Inversion method using YV = I, determine the nodal voltages of V₁, V₂ and
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