Uploaded October 2021 | Updated September 2026, 3 weeks ago
In this video, I manually solve a set of linear equations. These linear equations are Kirchoff's Voltage Law equations for a set of loops in a circuit and the equations were determined here youtu.be/O_XweaUPDDM. The solution to the linear equations yields the current in each of the loops and using the current values, the voltages across and current through all of the resistors in the circuit can be determined.
00:35 - Cramer's rule intro
00:49 - Equation for solving x1
01:28 - Equation for solving x2
01:38 - Denominators for x1, x2, x3 equation are the same
01:47 - Equation for solving x3
02:31 - Expansion of minors method
03:33 - Calculate denominator
07:10 - Determine x1
08:25 - Determine x2
08:31 - Determine x3
This example problem and circuit come from Lessons in Electric Circuits, Volume 1, by Tony Kuphaldt. It is reused under the conditions of the Design Science License (gnu.org/licenses/dsl.html). These terms and conditions allow for free copying, distribution, and/or modification of this document by the general public. As part of this license, this video uses the same license.
In this video, I manually solve a set of linear equations. These linear equations are Kirchoff's Voltage Law equations for a set of loops in a circuit and the equations were determined here youtu.be/O_XweaUPDDM. The solution to the linear equations yields the current in each of the loops and using the current values, the voltages across and current through all of the resistors in the circuit can be determined.
00:35 - Cramer's rule intro
00:49 - Equation for solving x1
01:28 - Equation for solving x2
01:38 - Denominators for x1, x2, x3 equation are the same
01:47 - Equation for solving x3
02:31 - Expansion of minors method
03:33 - Calculate denominator
07:10 - Determine x1
08:25 - Determine x2
08:31 - Determine x3
This example problem and circuit come from Lessons in Electric Circuits, Volume 1, by Tony Kuphaldt. It is reused under the conditions of the Design Science License (gnu.org/licenses/dsl.html). These terms and conditions allow for free copying, distribution, and/or modification of this document by the general public. As part of this license, this video uses the same license.
