Finding the current in each resistor - Kirchhoff

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SUMMARY

This discussion focuses on applying Kirchhoff's Current Law (KCL) to determine the current in each resistor of a circuit. The user initially struggles with the approach but receives guidance on labeling currents with arbitrary directions, emphasizing consistency in their application. The solution involves setting up equations based on the identified loops and junctions, ultimately leading to the correct current values, regardless of the initial assumptions about direction.

PREREQUISITES
  • Understanding of Kirchhoff's Current Law (KCL)
  • Familiarity with circuit analysis techniques
  • Ability to identify loops and junctions in electrical circuits
  • Basic knowledge of resistor behavior in circuits
NEXT STEPS
  • Practice solving circuit problems using Kirchhoff's Current Law
  • Learn about Kirchhoff's Voltage Law (KVL) for comprehensive circuit analysis
  • Explore techniques for simplifying complex circuits, such as Thevenin's and Norton's theorems
  • Study the impact of resistor configurations (series and parallel) on current distribution
USEFUL FOR

Students studying electrical engineering, circuit designers, and anyone looking to enhance their understanding of circuit analysis using Kirchhoff's laws.

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Homework Statement



Find the current in each resistor of this circuit.

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Homework Equations



Kirchoff's Current Law

The Attempt at a Solution



I just need a nudge in the right direction. I am fairly sure Kirchoff's Current Law comes into play, and have counted 6 loops and 4 junctions. I am not sure where to proceed next; the problems we've done before with KCL usually gave us currents and their directions. Any help on getting started would be appreciated.

Thank you.
 
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That should be the right approach -- a lot of equations, but it will all work out in the end. The strategy for the direction of the current is just to label each different current in the diagram with an arbitrary direction, as long as that direction is consistent every time you use it. So, for example, you would just say that the current across R6 points up (or down, if you want). It really doesn't matter. You'll find out in the end when you solve for the value of the current -- if the value is negative, that just means the current goes in the opposite direction of the arrow, and you happened to guess wrong, but it still conveys the same meaning.
 
Thank you so much! That's the part I was missing: using arbitrary directions. I get it now.
 

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