ALL of the voltage the battery sources is dropped over then entire circuit. In a series circuit, the current (amps, mAs, whatever) will be the same everywhere in the circuit. Control components are likely in parallel adding some complexity to the math, but you can figure battery, switch, regulation components, wire, soldered and screw connections, coil, and battery holder and springs all carry that current.
At the same time, each part of that series portion will see a different voltage drop, based on its own resistance. The sum of all those voltage drops will equal the battery voltage. Short of having a solid silver tube, copper is the next best conductor (least resistance.) At low frequencies - and DC is about as low as you can go, since its frequency is 0 - current tends to travel inside the conductor. (At high frequencies
kilo and mega hertz up, it tends to flow on the surface, hence gold plated computer connectors, high end audio connectors, and so on, as gold doesn't tarnish, silver does.)
So not really cost effective to have a solid silver
mod
And personally, I'm not even sure silver contacts, which are lower resistance than copper, chrome, and so on, are more than a sales gimmick, as the slight gain probably isn't significant to vapers. As TJ showed in his pics, the big difference was in the metal of the tube - the brass
mod with silver measured higher than the stainless mod with brass. Now, if we could get stainless with silver, we'd see the difference mod metal makes. Or brass with brass, to see what the silver contact really does...