Calibrate the gap sensor.
|dC/dz| > 0.30 nF/mm · linear over ±10 µm · fringe < 0.25
The challenge
Before you start
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Workspace
A meridian half-section of a body of revolution. The horizontal axis is the radius r measured from the sensor's centreline; the whole annulus is this picture turned through 360°.
Why it happens
The model & its limits
Is the result credible?
Numerical checks and model limits
Computation details
Capacitance against gap
And against tilt
This curve is inferred, not solved. A tilt has no meridian section, so each azimuth is treated as locally axisymmetric with its own gap and the ring is integrated over the curve above — the method the thesis used after a full 3-D attempt failed to resolve the change at this gap. It costs no extra computation, and it is only as good as the curve above is wide.
All results
No noise figure and no resolution: this model is electrostatic, and what limits a real sensor's resolution is the read-out electronics at its carrier frequency. What is here is the calibration those electronics would be given.