Quote:
Originally Posted by Willd
The point is that the electric/magnetic fields only exist when the wire is charging. At t=0 we're assuming things are at steady state, i.e. the wire between battery and switch is already charged, so there are no fields. When the switch is closed current will briefly be flowing in order to charge the wire between the two switches, creating the fields for the that brief period and causing the light to receive power. It is actually the same effect that causes the light to receive power in the original case of it being a closed circuit rather than having a second break, the situations diverging only after the wire between switches would be charged.
There are definitely issues with the whole situation due to inductance/capacitance not really making a whole lot of sense with a truly 0 resistance wire but if we assume infinitesimally low resistance and accept the idea that the bulb is "on" if it's receiving any power from the battery then I think the initial Veritasium video is technically correct.
This is also pretty much the explanation I understood from the two videos above and a lot of the comments on them.
The consensus seems to be that the bulb will receive full power after 1s but it will receive some nonzero amount of energy (not enough to light it) after 1/c seconds due to the wires acting as a capacitor or as antennas, but that does not require the circuit to be closed anyway.
Also a lot of people seemed to be hung up on the fact it should be 1
m/c seconds which I thought was maybe a little pedantic.