Here it is, the functioning Mk2 design. It is not fully tested yet as the new 18650 batteries failed to arrive last week. (As mentioned in post #25, the old ones were rubbish. I measured them as 400 mA.h as compared to their stated spec of 4200 mA.h - marked as UltraFire, but may be fake

).


Kleinstein’s post (#27) showed that the chopper amp bias currents have a dubious relationship with impedance, which is highly undesirable. And
Splin (post #13) suggested considering an ADA4625, which I have used.
Basically the box, terminals, pot, DVM module, and charger socket are all as they were, but the two amplifier boards have been replaced. In the process I planned from the start to use
Magic’s suggestion (posts#3, #10) to lift pin 3. This was not mechanically sound on the earlier design. It is fine in this new, more mechanically stable configuration.
There is a major gotcha with the ADA4625. The worst case offset voltage is shown clearly as 80 µV, with 15 µV being more typical. GOTCHA. Turn the page for 5V operation and it suddenly becomes 600 µV.

My nicely laid out front end had to have a hasty offset correction pot bodged in. The uncorrected offset was around 200 µV, so the value of R20 is on the edge of workability (or tuned to perfection if you prefer).
The output of U4 is trimmed to 0 V when the main input terminals are shorted, then the set 2 V pot (R3) is adjusted to make the display read 2.0000 V.
The bias current measured as around 5 pA using the 1M//100nF method. The bias current noise was about the same as measured on the Mk1 design. But then I had another rare moment of clarity. The bandwidth of the amplifier is around 1 Hz. The rms Johnson noise in a 1M resistor in a 1 Hz bandwidth is 0.127 µV, which is around 0.8 µV ptp. That is almost all of the noise I was seeing on the 1M//100nF test.
I checked the Fluke Calibration: Philosophy In Practice manual and was disappointed to find that whilst “bias current” is indexed, they were short of an actual procedure to measure it.
I used the “charge a capacity” method, which I have never previously used, and have no idea where I heard of it.

Mk2 bias current.xls (18.5 kB - downloaded 70 times.)
The charge slope of 2.5 µV/s into a 2.2 µF capacitor gives a bias current of 5.5 pA, in good agreement with the 1M//100nF method.

[EDIT: updated circuit to v1.10] March 25, 2020
[EDIT: updated circuit to v1.30]