About 900' of Romex w/gnd at 100 pF/ft. You can check this by putting 120vac into the hot lead and have a milliammeter from the gnd lead to gnd. Use a very small fuse (1/100 A) in series with your meter.
100pf/ft sounds a little high. Can you please cite where that comes from? I may have to adjust some of my previous estimations based on a lower number.
Extension cords typically have a higher capacitance than romex.
In a real world scenarios such as the Christmas light scenario there is much more at work than a simple theoretical romex estimation might predict.
Or open up a bad GFCI and use it to measure the current imbalance.
Probably the toroid and IC inside still work but you have to find a pin on the IC that has a voltage that corresponds to mA of leakage current. Nowadays, if you have the numbers off the IC you can pull up a block diagram of the gizzards.
You can test it by using various resistor values to gnd.
Been there, tried that:
A few months back I took a Leviton GFCI apart to better trace out the circuit in hopes of taping into it so that I could use the pin 5 (op-Amp) output as an indication of the differential current indication. My hopes were that I could provide some instructions as to how an electrician might modify a GFCI outlet to use as a cheap tester for when they want to quantify leakage currents.
They could bring the pin 5 out to a DV meter and use a lookup table to measure differential currents.
For my own purpose I had hoped to interface it to a Microcontroller with an LCD to directly indicate the current values.
Purchasing a leakage current meter is out of the question for my occasional desire to use one and I am guessing that is probably true for most electricians as well.
Unfortunately I found that they do not actually use the LM1851 as is shown in the LM1851 datasheet . Pin 5 actually drives the GND/NEUTRAL COIL and they utilize a totally different technique to sense a downstream neu-gnd connection.
Pin 5 goes to C9 in series with C3, both sides of C9 connect to the Inject coil (200:1). I have traced this out pretty thoroughly.
Here is the link that explains a little more about why this is connected this way: ( text in between schematics)
http://www.idea2ic.com/GFI/GFICs.html