A capacitive displacement sensor is constructed with two fixed plates and a moving dielectric material (k:1000) plate between them. The plates are 6x30 mm rectangles placed with a 1mm of distance with eachother. The moving plate (which has same geometry as fixed plates) perfectly fits in this gap and slides sideways along long edge of fixed plates. Initial position of moving plate occurs when the plate is totally between fixed plates. The capacitive sensor circuit is formed with a 10 VDc source and 1MOhm series resistance. The positon of the moving plate is 10mm from the intial position. What is the output if the measurement is interpretted via measuring time constant [in milliseconds]? (The permitivity of free space is 8.85x10-12)

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A capacitive displacement sensor is constructed with two fixed plates and a moving dielectric material (k:1000) plate between them. The plates
are 6x30 mm rectangles placed with a 1mm of distance with eachother. The moving plate (which has same geometry as fixed plates) perfectly
fits in this gap and slides sideways along long edge of fixed plates. Initial position of moving plate occurs when the plate is totally between
fixed plates. The capacitive sensor circuit is formed with a 10 VDc source and 1MOhm series resistance. The positon of the moving plate is
10mm from the intial position. What is the output if the measurement is interpretted via measuring time constant [in milliseconds]? (The
permitivity of free space is 8.85x10-12)
A) 1,06
B) None
C) 62,8
O D) 102,3
E) 2,4
Transcribed Image Text:A capacitive displacement sensor is constructed with two fixed plates and a moving dielectric material (k:1000) plate between them. The plates are 6x30 mm rectangles placed with a 1mm of distance with eachother. The moving plate (which has same geometry as fixed plates) perfectly fits in this gap and slides sideways along long edge of fixed plates. Initial position of moving plate occurs when the plate is totally between fixed plates. The capacitive sensor circuit is formed with a 10 VDc source and 1MOhm series resistance. The positon of the moving plate is 10mm from the intial position. What is the output if the measurement is interpretted via measuring time constant [in milliseconds]? (The permitivity of free space is 8.85x10-12) A) 1,06 B) None C) 62,8 O D) 102,3 E) 2,4
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