Both Panasonic GH2 and Panasonic G6 have Four Thirds sized 16.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the GH2 and G6 sensor size comparison.
Sensor Size and Resolution Comparison image of Panasonic GH2 and Panasonic G6 Cameras
Panasonic GH2 and Panasonic G6 have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture.
DxOMark Sensor Scores
DxOMark is a benchmark that scientifically assesses image quality of camera sensors. It scores camera sensors for color depth (DXO Portrait), dynamic range (DXO Landscape) and low-light sensitivity (DXO Sports), and also gives them an overall score. Panasonic GH2 and Panasonic G6 sensors have been tested by DxO and the results show that G6 has a better overall score of 61, 1 points higher compared to GH2's score of 60.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Panasonic GH2
60
21.2 bits
11.3 Evs
655 ISO
Panasonic G6
61
21.3 bits
11.5 Evs
639 ISO
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Panasonic GH2
or the
Panasonic G6 ,
including hyperfocal distance.