[Graphics:Images/KirchoffMod_gr_107.gif]

Example 5.   Solve the network #3 for the currents  [Graphics:Images/KirchoffMod_gr_109.gif]  given the following value for the resistors and batteries:  

        [Graphics:Images/KirchoffMod_gr_110.gif].  

Solution 5.

Set up the equations.

[Graphics:../Images/KirchoffMod_gr_111.gif]


[Graphics:../Images/KirchoffMod_gr_112.gif]

[Graphics:../Images/KirchoffMod_gr_113.gif]

Make the substitutions for the resistors and batteries.  

[Graphics:../Images/KirchoffMod_gr_114.gif]


[Graphics:../Images/KirchoffMod_gr_115.gif]

[Graphics:../Images/KirchoffMod_gr_116.gif]

[Graphics:../Images/KirchoffMod_gr_117.gif]

[Graphics:../Images/KirchoffMod_gr_118.gif]

We are done.

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

[Graphics:../Images/KirchoffMod_gr_119.gif]



[Graphics:../Images/KirchoffMod_gr_120.gif]

[Graphics:../Images/KirchoffMod_gr_121.gif]

[Graphics:../Images/KirchoffMod_gr_122.gif]

[Graphics:../Images/KirchoffMod_gr_123.gif]

[Graphics:../Images/KirchoffMod_gr_124.gif]


[Graphics:../Images/KirchoffMod_gr_125.gif]


[Graphics:../Images/KirchoffMod_gr_126.gif]

[Graphics:../Images/KirchoffMod_gr_127.gif]

[Graphics:../Images/KirchoffMod_gr_128.gif]


[Graphics:../Images/KirchoffMod_gr_129.gif]


[Graphics:../Images/KirchoffMod_gr_130.gif]

[Graphics:../Images/KirchoffMod_gr_131.gif]

[Graphics:../Images/KirchoffMod_gr_132.gif]


[Graphics:../Images/KirchoffMod_gr_133.gif]


[Graphics:../Images/KirchoffMod_gr_134.gif]

[Graphics:../Images/KirchoffMod_gr_135.gif]

[Graphics:../Images/KirchoffMod_gr_136.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004