Imagine a circular loop of conducting non wire with a perimeter of a light year. There is a powerful battery (able to produce a voltage that is higher than the drop in wire resistance) and a bulb connected in series using this wire. The bulb and battery are placed diametrically opposite. Let's introduce a switch in between. If I turn the switch ON, how long will take the bulb to light up?
Now another scenario. Here also the bulb and battery are connected using a light year long wire, but the bulb and battery are only 10 meters apart. Instead the wire is irregularly coiled, so that it takes one light year of wire to connect them. In this case, how long will it take for the bulb to light up?
Since the wire has inductance and capacitance, does the geometry of the loop affect the time? Does the physical separation between bulb and source affect the time?