I ran into the voltage controlled pots and found them very useful, but they all acted like variable voltage sources and I would like one that takes into account the internal resistance with a voltage controlled wiper. I'm not sure how difficult the math will be, but here's how I see it;

using a 10K pot, 10 volts applied, and the wiper at 50% and connected to a 5K load, the equivalent circuit would be a 5K resistor in series with a 2.5K resistor,1/2 of the 10K pot in parallel with the 5K load and have a voltage of 3.33 volts on it.. It's been a long time since I took calculus and algebra, so I have no idea what the math would be to show the voltage on the wiper as it moved from 0 to 100%.?

Thanks,

Jeff?

PS can you show the math? Please?