A B V L V R I
Voltage of Battery
6 V
12 V
Resistance of Light Bulb
3 Ω
6 Ω
Inductance of Inductor
2 H
4 H

After an extended time, switch is at position:

I [A] t [s] 2 4 6 8 10 1 2 3 –1 –2 –3 4 –4
V   R [V] t [s] 2 4 6 8 10 4 8 12 –4 –8 –12
V L [V] t [s] 2 4 6 8 10 4 8 12 –4 –8 –12
dI/dt [A/s] t [s] 2 4 6 8 10 1.5 3.0 4.5 –1.5 –3.0 –4.5 6.0 –6.0