[Graphics:Images/KirchoffMod_gr_49.gif]

Example 3.   Solve the network #2 for the currents  [Graphics:Images/KirchoffMod_gr_51.gif]  given the following value for the resistors and battery:  

        [Graphics:Images/KirchoffMod_gr_52.gif].  

Solution 3.

Set up the equations.

[Graphics:../Images/KirchoffMod_gr_53.gif]


[Graphics:../Images/KirchoffMod_gr_54.gif]

[Graphics:../Images/KirchoffMod_gr_55.gif]

Make the substitutions for the resistors and batteries.  

[Graphics:../Images/KirchoffMod_gr_56.gif]


[Graphics:../Images/KirchoffMod_gr_57.gif]

[Graphics:../Images/KirchoffMod_gr_58.gif]

[Graphics:../Images/KirchoffMod_gr_59.gif]

[Graphics:../Images/KirchoffMod_gr_60.gif]

We are done.

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

[Graphics:../Images/KirchoffMod_gr_61.gif]



[Graphics:../Images/KirchoffMod_gr_62.gif]

[Graphics:../Images/KirchoffMod_gr_63.gif]

[Graphics:../Images/KirchoffMod_gr_64.gif]

[Graphics:../Images/KirchoffMod_gr_65.gif]

[Graphics:../Images/KirchoffMod_gr_66.gif]


[Graphics:../Images/KirchoffMod_gr_67.gif]


[Graphics:../Images/KirchoffMod_gr_68.gif]

[Graphics:../Images/KirchoffMod_gr_69.gif]

[Graphics:../Images/KirchoffMod_gr_70.gif]


[Graphics:../Images/KirchoffMod_gr_71.gif]


[Graphics:../Images/KirchoffMod_gr_72.gif]

[Graphics:../Images/KirchoffMod_gr_73.gif]

[Graphics:../Images/KirchoffMod_gr_74.gif]


[Graphics:../Images/KirchoffMod_gr_75.gif]


[Graphics:../Images/KirchoffMod_gr_76.gif]

[Graphics:../Images/KirchoffMod_gr_77.gif]

[Graphics:../Images/KirchoffMod_gr_78.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004