Rank The Circuits Based On The Current Through The Battery Immediately After The Switch Is Closed.

Homework Statement:Rank the circuits based on the current through the battery immediately after the switch is closed.

Rank from largest to smallest. To rank items as equivalent, overlap them.Relevant Equations:none given but i=(E/R(1-e^-(R/L)t))

is the equation I found in the book for the current through an LR-circuit. The problem is I cant find anything in the text I have that deals with resistors in series vs parallel, if a coil acts as a short, etc. So can I ask you…1) is this equation valid for both resistors in parallel and series? 2) If I have a set up like the second and third from the left will the current go through the coil like a short circuit or does the coil have a resistance?3) in a situation like the second from the right, I can use this equation with the total resistance of the branch and the inductance of the coil? Or does the order matter and if so why?Are there any concepts I”m missing that I need to analyze an RC circuit?Thank you for your help.

Homework Statement: Rank the circuits based on the current through the battery immediately after the switch is closed.

Rank from largest to smallest. To rank items as equivalent, overlap them.Homework Equations: none given but i=(E/R(1-e^-(R/L)t))View attachment 252223View attachment 252222is the equation I found in the book for the current through an LR-circuit. The problem is I cant find anything in the text I have that deals with resistors in series vs parallel, if a coil acts as a short, etc. So can I ask you…1) is this equation valid for both resistors in parallel and series?2) If I have a set up like the second and third from the left will the current go through the coil like a short circuit or does the coil have a resistance?3) in a situation like the second from the right, I can use this equation with the total resistance of the branch and the inductance of the coil? Or does the order matter and if so why?Are there any concepts I”m missing that I need to analyze an RC circuit?Thank you for your help.
Firstly, if the battery is treated as ideal, meaning it has zero internal resistance, then 2 out of the 6 circuits will lead to nonsensical results. This can be avoided by treating the battery as non-ideal, having a small, non-zero internal resistance.I would not worry about the equation for this exercise. The key word is “immediately,” in “immediately after the switch is closed.”One key factor in solving this problem is to answer these two questions:(i) Is it possible to instantaneously change the voltage across the terminals of an inductor?(ii) Is it possible to instantaneously change the current through an inductor?

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