The solution of complex electrical circuits can be arrived at by applying Kirchhoff’s Current and Voltage Laws across loops and junction. But this approach is very tedious, involves a lot of calculation steps and is prone to human errors at each step.
Condition for this theorem
For this shortcut to work the following conditions must be satisfied,
- a given circuits should be redraw-able to a series of branches
- and each branch should have a resistor element in it.
The above circuit has three branches: ACB, AB and ADB. All these branches has at least one resistor element in it.
The beauty of this approach is that the calculation is just a one-step formula!
The results are summarized as below
|Resistance||Voltage Drop, V||Current, Amp||Direction|
|R1 = 6||-1.2||0.2||C to A|
|R2 = 6||4.8||0.8||A to B|
|R3 = 12||-7.2||0.6||D to A|
This is one of the shortcut tricks to solve complex electrical circuit problems.