Validity of Kirrchoff's Laws in Electrical Circuits

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SUMMARY

The discussion centers on the application of Kirchhoff's Laws in electrical circuits, specifically addressing the current distribution through resistors in a given circuit. Participants clarify that current does flow through resistor R1 despite the presence of a direct wire connection, as the wire connects to another resistor (R2) rather than providing a parallel path. The conclusion emphasizes that Kirchhoff's Laws remain valid, and current distribution must be analyzed based on the entire circuit configuration.

PREREQUISITES
  • Understanding of Kirchhoff's Current Law (KCL)
  • Familiarity with Kirchhoff's Voltage Law (KVL)
  • Basic knowledge of series and parallel resistor configurations
  • Ability to analyze electrical circuits using Ohm's Law
NEXT STEPS
  • Study Kirchhoff's Laws in-depth with practical circuit examples
  • Learn how to calculate equivalent resistance in complex resistor networks
  • Explore the concept of current division in parallel circuits
  • Practice circuit analysis using simulation tools like LTspice or Multisim
USEFUL FOR

Students studying electrical engineering, educators teaching circuit analysis, and hobbyists interested in understanding the behavior of electrical circuits using Kirchhoff's Laws.

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Homework Statement



a) Find the current through the battery and each resistor inthe circuit shown.
b) What is the equivalent resistance of the resistornetwork?

http://s3.amazonaws.com/answer-board-image/db89d3f298e4098e8852b10c30cb3f53.jpg


Homework Equations



Kirrchoff's laws

The Attempt at a Solution



I have one BIG doubt. The answer says that (whatever the number is), there is a current through R1. We were told in class that a current would prefer a clean path. Since there is a nice wire at the top, shouldn't this avoid any current to pass through R1? ... Thanks for helping
 
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ehabmozart said:
I have one BIG doubt. The answer says that (whatever the number is), there is a current through R1. We were told in class that a current would prefer a clean path. Since there is a nice wire at the top, shouldn't this avoid any current to pass through R1? ... Thanks for helping
No. That "nice wire" at the top just connects to R2. If there were two points where R1 and just a wire were in parallel, then you'd be correct.
 

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