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(5) Consider the application of Ohm's law and Kirchhoff's law to a given electrical net- work. The potential applied between two of the nodes in the network is V volts. We wish to find the potentials at several nodes within the network. Denoting these potentials by U1, U2, U6, we obtain the following set of equations for the v; values: 11v1 - 5v2v6 = 5V, -20v₁ + 41v2 - 15v3 - 6v5 = 0, -3v2+7v3 - 4v4 = 0, - -V3 +2v4v5 = 0, -3v2-10v4 + 28v5 - 1506 (a) Write this linear system in matrix-vector form. = - - 0, 2v1 15v5 + 47v6 = 0. (b) Set V50 and use the software for solving linear systems that was introduced in the recitation to solve this system.

(5) Consider the application of Ohm's law and Kirchhoff's law to a given electrical net- work. The potential applied between two of the nodes in the network is V volts. We wish to find the potentials at several nodes within the network. Denoting these potentials by U1, U2, U6, we obtain the following set of equations for the v; values: 11v1 - 5v2v6 = 5V, -20v₁ + 41v2 - 15v3 - 6v5 = 0, -3v2+7v3 - 4v4 = 0, - -V3 +2v4v5 = 0, -3v2-10v4 + 28v5 - 1506 (a) Write this linear system in matrix-vector form. = - - 0, 2v1 15v5 + 47v6 = 0. (b) Set V50 and use the software for solving linear systems that was introduced in the recitation to solve this system.

C++ for Engineers and Scientists
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section7.5: Case Studies
Problem 15E
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(5) Consider the application of Ohm's law and Kirchhoff's law to a given electrical net- work. The potential applied between two of the nodes in the network is V volts. We wish to find the potentials at several nodes within the network. Denoting these potentials by U1, U2, U6, we obtain the following set of equations for the v; values: 11v1 - 5v2v6 = 5V, -20v₁ + 41v2 - 15v3 - 6v5 = 0, -3v2+7v3 - 4v4 = 0, - -V3 +2v4v5 = 0, -3v2-10v4 + 28v5 - 1506 (a) Write this linear system in matrix-vector form. = - - 0, 2v1 15v5 + 47v6 = 0. (b) Set V50 and use the software for solving linear systems that was introduced in the recitation to solve this system.
Transcribed Image Text:(5) Consider the application of Ohm's law and Kirchhoff's law to a given electrical net- work. The potential applied between two of the nodes in the network is V volts. We wish to find the potentials at several nodes within the network. Denoting these potentials by U1, U2, U6, we obtain the following set of equations for the v; values: 11v1 - 5v2v6 = 5V, -20v₁ + 41v2 - 15v3 - 6v5 = 0, -3v2+7v3 - 4v4 = 0, - -V3 +2v4v5 = 0, -3v2-10v4 + 28v5 - 1506 (a) Write this linear system in matrix-vector form. = - - 0, 2v1 15v5 + 47v6 = 0. (b) Set V50 and use the software for solving linear systems that was introduced in the recitation to solve this system.
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