Current direction after changing inductor to short circuit

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When the switch is closed for a long time, the inductor behaves like a short circuit, allowing current to flow through paths of least resistance. The current bypasses the 3Ω resistor because there is no potential difference across it, resulting in zero current through that resistor. The discussion confirms that current will only flow through resistors that create a potential difference. Understanding this concept is crucial for analyzing circuits with inductors. The explanation clarifies the behavior of current in the circuit under these conditions.
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
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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