You're overhtinking it (something I am sometimes guilty of as well). It will work exactly the same - the calculation is exactly the same. The BD20 needs to see at least 8ma to detect, so for reliable oepration you should base your calculation on something a bit higher - 12-15ma should give enough of a safety margin.
Now - why the BD-20? If it's just to interface the ground throw to the Atlas signal board, that's a waste. If there is ALSO a track block wire runnign through the BD-20, just wire the contacts in parallel to the BD-20 so it switches the logic pin to ground. The BD-20 output is an open-collector circuit and can handle being logically ORed with multiple circuits or simple switches in parallel. Think of the output of the BD-20 as a switch to ground (less the junction drop inthe output transistor, that's EXACTLY what it is). You can put as many 'switches' in parallel as you want, if any or all of them are closed, the signal would be red. No harm will come to the BD-20 if it switches and the contacts on the ground throw were already closed.
DCC Decoder functions work like this as well - you can connect 2 or more function leads to the same light bulb because the function leads simply act as a switch to ground. The blue common wire is actually +.
--Randy
Modeling the Reading Railroad in the 1950's
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Correct. It's exactly the same. If your track voltage is 14.5 volts and you put a 1K resistor across it, it will flow 14.5ma. We're talking about a purely resistive load, so under AC it has a power factor of 1, meaning it's the same as using DC voltage.
Jeff But it's a dry heat!
Resistor behave the same, AC or DC or any shape wave. It gets tricky when you itroduce capacitors and inductors - they cause shifts in the timing of the wavefrorm. For regular sine wave AC, think of TWO sine waves superimposed but not exactly lined up, so you see to lines - they are out of phase. So the peak of the load either leads or lags the peak of the source. This is the power factor. A resistor - or a light bulb in your house - has a PF of 1. A 100 watt light bulb left on for 10 hours uses 1kW-hour of electricity. Things like the motor in your fridge have a power factor less than 1 - they use more power than they 'should' if they had a PF of 1. If you're really interested, read this (if you can manage to not fall asleep): http://en.wikipedia.org/wiki/Power_factor