Current direction after changing inductor to short circuit

[Abdulwahab Hajar]

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

 

[cnh1995]

Is it because no potential difference is across it meaning that the current would be zero??

Yes.

 

[Abdulwahab Hajar]

Yes.

Thank you sir