I need to spend some time with this too, but I need to ask two questions:
if this is a physical measurement, measurement errors will enter into the equation.
Basically, a voltmeter has an input impedance. Lets hope it's not say 50K/V, but rather constant depending on the range. Most handheld voltmeters will have an input Z of 10 Meg ohms.
Thus if you used a 10 meg resistor and a voltmeter, you have a 5 meg ohm load. 1/Rt=1/R1+1/10E6
When you insert an ammeter, and that ammeter is a shunt ammeter, you place a series resistor in the circuit. So unless your measuring V and I at the same time
Lets just say that the voltage burden is about 0.2V at 1 mA, that means the ammeter has a 200 ohm resistance. That resistance is also dependent on range.
In general when the current is high, you can measure the voltage across the device (resistor) and the current through the device (resistor) and you will get the correct result. The measurement of voltage has to be at the device.
At the other extreme, low currents, like nano-amps, 1e-12 Amps, you have to use a feedback ammeter where the voltage burden is very small. On the order of uV. Trying to measure the voltage will upset the current.
There is an issue called compliance. One easy way to envision compliance is with a loudspeaker. The current of the power supply when you use 8 ohms. Let's say 1 Amp, 8 ohms. or 8 Watts. If you had 1 Vrms available, P = V^2/R, you have (1)/8 or 1/8 of a Watt. This is oversimplified, but it does illustrate that a 1V, 1A supply which I will call compliance limits can deliver different powers.
Your house may have a 200 Amp service at 240 V. Power cannot exceed 200*240. Current cannot exceed 200 (fuse will pop), voltage cannot exceed 240 (Voltage regulation)
Oversimplified again, because I'm assuming a Power factor of 1 for resistive loads.
Current sources are not ideal either and I have trouble trying to calculate their output Z (impedance). Ideal current sources should have an infinate output Z.
The Wildar current source is described here:
https://en.wikipedia.org/wiki/Widlar_current_source
See also:
https://www.electro-tech-online.com/custompdfs/2011/07/Group8-1.pdf which shows the source itself will use up voltage by it's effective resistance.
As a rough calculation for compliance. Let's use 36 V and 0 .001 mA, It then says R has to be below 36K before you can deliver 1 mA.
or 1/Rt = 1/Rcs + 1/Rresistor
It really says Rt has to be below 36K. The resistor is in parallel with the current source and we don't know what Rcs or how it varies.
If Rcs was infinate, the 1/Rt = 1/Rresistor
With IC based current sources, the parameters or the mirrors that make up the source are more closely controlled, so parts in discrete form will have worse performance than an IC based solution..