Trouble finding the current through this resistor in the circuit

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SUMMARY

The discussion focuses on solving a circuit problem involving three currents: I1, I2, and I3. The key equation derived is I3 = I1 - I2, which allows for substitution in two given equations to form a system of equations. Participants are encouraged to show their work for specific steps to receive targeted assistance. The method emphasizes the importance of substitution and simplification in circuit analysis.

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  • Basic understanding of electrical circuits and current flow
  • Familiarity with Ohm's Law and Kirchhoff's Current Law
  • Ability to manipulate algebraic equations
  • Knowledge of circuit analysis techniques
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  • Practice solving systems of equations in electrical circuits
  • Learn about current division and its applications
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Electrical engineering students, circuit designers, and anyone interested in mastering circuit analysis techniques.

guyvsdcsniper
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Homework Statement
FIind the current through and the potential difference across the 100 ohm resistor.
Relevant Equations
junction rule. loop rule
I was following this problem up until they say we can they state I3= I1-I2. I understand why we can say that but I don't see how I can use that to get the system of equation in terms of I1 and I2 at the bottom. Could someone show me how this was done?
Screen Shot 2021-10-28 at 11.13.56 AM.png
 
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You have the two equations

1635443429139.png

Take the first of these two equations and substitute ##I_3 = I_1-I_2##. This means to replace ##I_3## in the equation by the quantity ##(I_1-I_2)##. Then simplify.

Do the same for the second equation.

Show your work so we can help with any particular step for which you have trouble.
 
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