A parallel plate capacitive sensor is used to measure displacement. The area of the plates is A and the gap between the plates is d. The space between the plates is completely filled by material with a dielectric constant of er. If the permittivity of free space is eo, determine: (assuming d>> d)
a. The equation of the capacitive sensor.
b. The graph of capacitive C against displacement d.
c. The expression of the sensitivity of the capacitive sensor ?