Independence of Currents in Inductor-Switch Circuit

[abdullah khaled]

In circuit like this

If I closed the switch "s"
Are the currents in mesh "I₁" and "I₂" independent of each other? if yes Why /why not?
Thanks.

 

[phinds]

Well, what do you think would make them independent or dependent?

 

[abdullah khaled]

Well, what do you think would make them independent or dependent?

I think they will be independent because ΔV on the short circuit will be 0 but at (b) here

solution made I₂ depends on 1 and I don't know why

 

[phinds]

How about the fact that they both flow through the same element? Does that not connect them in some way? Or put another way, are the two currents totally isolated from each other?