Answer to Question #155918 in Electric Circuits for Jerick

Question #155918

Find the current (I1, I2, and I3) in each branch of the circuit using Kirchhoff's Laws.


1
Expert's answer
2021-01-19T07:11:12-0500


Consider a simple circuit in figure above.

Use the voltage law for loops 1 and 2 correspondingly, then add an equation by the current law:


12=10I1+20I2,20I2+30I3=0,I1=I2+I3.12=10I_1+20I_2,\\ -20I_2+30I_3=0,\\ I_1=I_2+I_3.


So, we have three equations and three unknown values, which means that we can solve this system with any method we know from the course of math. The roots are

I1=0.55 A,I2=0.33 A,I3=0.22 A.I_1=0.55\text{ A},\\ I_2=0.33\text{ A},\\ I_3=0.22\text{ A}.


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