I think I don't completely understand your idea. The current flowing through the amperemeter¹ depends on the voltage and the resistance of the incandescent(?) lamp. To vary current by the minute, you would need a digital resistor or potentiometer, I guess. Is that your suggestion?
¹) I just found out that it is more commonly called 'ammeter' in English - which is so unintuitive that I prefere 'amperemeter'.