A variable dielectric capacitive sensor as shown in the following figure is used to measure displacement via a Wheatstone bridge. Rs E C C2 Eo = 8.85 x 10 12 F/m E=1 for air E=3 for dielectric Length of a capacitor plate = 1 cm Width of a capacitor plate= 1 cm d=5 mm V=5 V Derive the expression for the capacitance Ci and C2 for any displacement х. Find the expression/value of x for a balanced bridge, given R= R=100 a. Derive the expression for the output voltage in terms of x. Comment on the sensitivity of this displacement sensor.
A variable dielectric capacitive sensor as shown in the following figure is used to measure displacement via a Wheatstone bridge. Rs E C C2 Eo = 8.85 x 10 12 F/m E=1 for air E=3 for dielectric Length of a capacitor plate = 1 cm Width of a capacitor plate= 1 cm d=5 mm V=5 V Derive the expression for the capacitance Ci and C2 for any displacement х. Find the expression/value of x for a balanced bridge, given R= R=100 a. Derive the expression for the output voltage in terms of x. Comment on the sensitivity of this displacement sensor.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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