A capacitive sensor consists of two parallel plates in air, the plates being (40 mm ) square and separated by a distance of( 1 mm) . A sheet of dielectric material of thickness (1 mm ) and (40 mm) square can slide between the plates. The dielectric constant of the material is (9 ) and that for air may be assumed as (1). Determine the capacitance of the sensor when the sheet has been displaced so that only half of it is between the capacitor plates.Knowing that the permittivity of free space (8.85 pF/m).

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A capacitive sensor consists of two parallel plates in air, the plates being
(40 mm ) square and separated by a distance of( 1 mm). A sheet of
dielectric material of thickness (1 mm ) and (40 mm) square can slide
between the plates. The dielectric constant of the material is (9) and that
for air may be assumed as (1). Determine the capacitance of the sensor
when the sheet has been displaced so that only half of it is between the
capacitor plates.Knowing that the permittivity of free space (8.85 pF/m).
Transcribed Image Text:A capacitive sensor consists of two parallel plates in air, the plates being (40 mm ) square and separated by a distance of( 1 mm). A sheet of dielectric material of thickness (1 mm ) and (40 mm) square can slide between the plates. The dielectric constant of the material is (9) and that for air may be assumed as (1). Determine the capacitance of the sensor when the sheet has been displaced so that only half of it is between the capacitor plates.Knowing that the permittivity of free space (8.85 pF/m).
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