How should fuse selection be made in discrete-time alternating current?

In my circuit,I have a resistive load(Lamp).(Rlamp=1 ohm).At the ends of the lamp is voltage V(t) in the picture.In the picture, there is the first 12 seconds of the signal.But you may think that periodically the signal goes on for hours.The signal is already periodic.

My V(t) signal progresses for hours as 0.75 seconds on,5 seconds off.(Let assume V(t)=I_lamp(t),R_lamp=1 ohm)

The general formula for fuse selection at room temperature is:

In summary,what should I write instead of "Normal Operating Current" in formula for calculation?(rms value or avarage value or another think)What is the my "Normal Operating Current"?

• Why are you fitting a fuse; what does it protect? Jan 7 at 12:54
• I'd say $\frac{\text{Normal (ON) Operating Current}}{0.75}$ since the fuse must support the typical operating current while on, with a margin. But this can be complicated if the load is reactive (not just a purely-resistive lamp.) Jan 7 at 13:08
• The fuse protects the wire, not the load. Jan 7 at 13:35
• The main problem here is not the function of the fuse. I'm looking for how to find the operational operating current. Jan 8 at 9:38

I think choosing the fuse, you should account current which flows during your 0.75 seconds ON period. Effectively assuming your sine wave is there all the time. So, I think Normal Operating Current = Vrms/R. Again during this 0.75 seconds.