A parallel plate capacitance transducer uses plates of area 500 mm which are separated by a distance of 0.2mm.
(i) Calculate the value of capacitance when the dielectric is air having a permittivity of 
.
(ii) A linear displacement reduces the gap length to 0.18mm. Calculate the change in capacitance.
(iii) Calculate the ratio of per unit change of capacitance to per unit change in displacement.
(iv) Suppose a sheet of mica 0.01mm thick is inserted in the gap. Calculate the value of original capacitance and change in capacitance for the same displacement. The dielectric constant of mica is 8 [C = A/d].
What will be an ideal response?
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