# The diagram shows three circuits with identical batteries, identical inductor and identical resistors . Rank them according to the current through the battery ?

In (3), the inductor is also going to kick back, imagine it is super -effective. If so we can just short it and we have a combined series resistance of $2 R$. If we do the same thing in (1), we have no circuit.
So from highest ${I}_{r m s}$ to lowest, that is (2),(3),(1).