Problem 6: A capacitive silicon accelerometer with its proof mass, fixed electrode, beam and anchor is shown in the figure below. Dimensions are also given. Fixed electrode is perfectly parallel to the silicon mass. Its dimension along Y axis is 1 mm and it starts aligned with the edge of the mass. Assume that the Young's modulus for Si is 190 GPa, Poisson's ratio 0.3 and that the density of Si is 2330 kg/m³. Length=1mm Anchor Si Proof Mass 1mmx1mm Thickness-500um Width=10pm Si Beam 0.5um Thick 1 mm Gap 1 um • Fixed electrode 1.5 mm

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Chapter12: Electronic Control Devices
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Problem 6: A capacitive silicon accelerometer with its proof mass, fixed electrode, beam and anchor is
shown in the figure below. Dimensions are also given. Fixed electrode is perfectly parallel to the silicon
mass. Its dimension along Y axis is 1 mm and it starts aligned with the edge of the mass. Assume that
the Young's modulus for Si is 190 GPa, Poisson's ratio 0.3 and that the density of Si is 2330 kg/m³.
Length=1mm
Anchor
Si Proof Mass
1mmx1mm
Thickness-500pm
Width=10pm
Si Beam
0.5μm Thick
1 mm
Gap 1 um +
Fixed electrode
1.5 mm
5
(a) Calculate the device sensitivity, dC/da in the z direction
(b) Calculate the device sensitivity, dC/da in the y direction
Transcribed Image Text:Problem 6: A capacitive silicon accelerometer with its proof mass, fixed electrode, beam and anchor is shown in the figure below. Dimensions are also given. Fixed electrode is perfectly parallel to the silicon mass. Its dimension along Y axis is 1 mm and it starts aligned with the edge of the mass. Assume that the Young's modulus for Si is 190 GPa, Poisson's ratio 0.3 and that the density of Si is 2330 kg/m³. Length=1mm Anchor Si Proof Mass 1mmx1mm Thickness-500pm Width=10pm Si Beam 0.5μm Thick 1 mm Gap 1 um + Fixed electrode 1.5 mm 5 (a) Calculate the device sensitivity, dC/da in the z direction (b) Calculate the device sensitivity, dC/da in the y direction
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