Kirchoff's Law Problem: Finding Currents in a Parallel Circuit

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SUMMARY

The discussion centers on solving a circuit problem using Kirchhoff's Law to find the currents I1 and I3 in a parallel circuit. The provided values are E1=8V, E2=4V, R1=110Ω, R2=40Ω, R3=50Ω, and R4=50Ω. The user initially formulated the equations I1=I2+I3, 8V-160I1-40I2-50I3=0, and 4V+40I2-50I3=0. A participant pointed out an error in the second equation, emphasizing the need to correct it to establish a valid system of three equations for the three unknowns: I1, I2, and I3.

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  • Basic knowledge of circuit analysis
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  • Correct the second equation based on Kirchhoff's Law
  • Learn to solve systems of equations using substitution or elimination methods
  • Explore parallel circuit analysis techniques
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Electrical engineering students, circuit designers, and anyone involved in analyzing or solving electrical circuit problems using Kirchhoff's Laws.

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Kirchoff Law Problem (please help me):(

I need help trying to find the current I1 which flows through R1 and the current I3 that flows through R3.

Given:
E1=8V
E2=4V
R1= 110
R2=40
R3=50
R4=50

I figured out that the first equation is: I1=I2+I3
The 2nd equation: 8V-160I1-40I2-50I3=0
3rd equation: 4V+40I2-50I3=0

I'm not sure what to do from here.

thank you:)
 

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Your second equation is wrong. fix that, and then you will have a set of 3 equation for three unknowns (I_1,I_2,I_3). Solve this system of equations and you are done.
 

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