There is something horribly wrong with your calculations. If you start with 420Ω resistor, and then you switch a 466Ω resistor in parallel with it, the total resistance becomes (420*466)/(420+466) = 195720/886 = 221Ω, not 4200Ω. Is that what you want?
The values in my sim were shown with the K in place of the decimal point, i.e. 4K7 = 4.7K = 4700Ω. My circuit powered the transistor from a tie to the 12V battery which has nothing to do with terminal B where the resistance to ground is measured. The capacitor was to suppress a spike in the output resistance.