[Graphics:Images/KirchoffMod_gr_107.gif]

Example 6.   Solve the network #3 for the currents  [Graphics:Images/KirchoffMod_gr_137.gif]  given the following value for the resistors and batteries:  

        [Graphics:Images/KirchoffMod_gr_138.gif].  

Solution 6.

Set up the equations.

[Graphics:../Images/KirchoffMod_gr_139.gif]


[Graphics:../Images/KirchoffMod_gr_140.gif]

[Graphics:../Images/KirchoffMod_gr_141.gif]

Make the substitutions for the resistors and batteries.  

[Graphics:../Images/KirchoffMod_gr_142.gif]


[Graphics:../Images/KirchoffMod_gr_143.gif]

[Graphics:../Images/KirchoffMod_gr_144.gif]

[Graphics:../Images/KirchoffMod_gr_145.gif]

[Graphics:../Images/KirchoffMod_gr_146.gif]

We are done.

Aside.  The solution could be found using Cramer's rule.

[Graphics:../Images/KirchoffMod_gr_147.gif]



[Graphics:../Images/KirchoffMod_gr_148.gif]

[Graphics:../Images/KirchoffMod_gr_149.gif]

[Graphics:../Images/KirchoffMod_gr_150.gif]

[Graphics:../Images/KirchoffMod_gr_151.gif]

[Graphics:../Images/KirchoffMod_gr_152.gif]


[Graphics:../Images/KirchoffMod_gr_153.gif]


[Graphics:../Images/KirchoffMod_gr_154.gif]

[Graphics:../Images/KirchoffMod_gr_155.gif]

[Graphics:../Images/KirchoffMod_gr_156.gif]


[Graphics:../Images/KirchoffMod_gr_157.gif]


[Graphics:../Images/KirchoffMod_gr_158.gif]

[Graphics:../Images/KirchoffMod_gr_159.gif]

[Graphics:../Images/KirchoffMod_gr_160.gif]

[Graphics:../Images/KirchoffMod_gr_161.gif]


[Graphics:../Images/KirchoffMod_gr_162.gif]

[Graphics:../Images/KirchoffMod_gr_163.gif]

[Graphics:../Images/KirchoffMod_gr_164.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004