Current direction after changing inductor to short circuit

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SUMMARY

The discussion centers on the behavior of current in a circuit where an inductor has been replaced by a short circuit. It is established that when the switch is closed for an extended period, the inductor behaves as a wire with zero resistance. Consequently, the current will bypass the 3Ω resistor due to the absence of a potential difference across it, resulting in zero current flow through that resistor.

PREREQUISITES
  • Understanding of basic circuit theory
  • Knowledge of Ohm's Law
  • Familiarity with inductors and their behavior in circuits
  • Concept of potential difference in electrical circuits
NEXT STEPS
  • Study the principles of circuit analysis using Kirchhoff's laws
  • Learn about the behavior of inductors in transient circuits
  • Explore the concept of potential difference and its impact on current flow
  • Investigate series and parallel resistor configurations
USEFUL FOR

Students studying electrical engineering, educators teaching circuit theory, and anyone interested in understanding the dynamics of current flow in circuits with inductors.

Abdulwahab Hajar
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Homework Statement


In the figure in the picture uploaded assume that the switch has been closed for a long time such that the inductor acts like a short circuit. Through which resistors does the current pass through and why??

Homework Equations


A short circuit is basically a wire or a zero resistance, and as we know current passes through the path with least resistance.

The Attempt at a Solution


I know what the solution but I don't understand why, it says the current won't pass through the 3Ω resistor... Is it because no potential difference is across it meaning that the current would be zero??
Thank you
 

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Abdulwahab Hajar said:
Is it because no potential difference is across it meaning that the current would be zero??
Yes.
 
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cnh1995 said:
Yes.
Thank you sir
 

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