Two pressure sensors, A A\,A and BBB, are designed using parallel-plate capacitors with circular plates.
Sensor A A\,A has plates of radius R R\,R separated by a distance ddd, with the gap completely filled by a liquid dielectric of relative permittivity εr\varepsilon_rεr.
Sensor B B\,B has plates of radius 3R 3R\,3R separated by a distance 4d4d4d, with air as the dielectric.
Both sensors have the exact same baseline capacitance.
What is the relative permittivity εr \varepsilon_r\,εr of the liquid dielectric in Sensor AAA?
0.750.750.75
2.252.252.25
9.009.009.00
36.036.036.0
