Here is a circuit where a resistor and inductor are in parallel with each other. This is similar to a RC circuit with a resistor and capacitor in parallel. We focus on t = 0 and a 'long time.'
The gist of this one is that inductors fight current initially because they do not like a change in magnetic flux. After a long time, an inductor is just a piece of wire with no resistance (at least for us!). Check it out.