The resistance in the following circuit is increased at a particular instant. At this instant the value of resistance is 10 Ω. The current in the circuit will be now

If resistance is constant (10 Ω), then steady current in the circuit i=510=0.5 A But resistance is increasing it means current through the circuit start decreasing. Hence, inductance comes in picture which induces a current in the circuit in the same direction of main current. So i>0.5 A.