A variable dielectric capacitive sensor as shown in the following figure isused to measure displacement via a Wheatstone bridge.B1 B1.1R3d E1E1VsEthC1Eo = 8.85 x 10-12 F/mEz=1 for airE2=3 for dielectricLength of a capacitor plate = 1 cmWidth of a capacitor plate= 1 cmC2R,d=5 mmV=5 Va) Derive the expression for the capacitance Cı and C2 for any displacementх.b) Find the expression/value of x for a balanced bridge, given R3= R4=100Q.c) Derive the expression for the output voltage in terms of x. Comment onthe sensitivity of this displacement sensor.

Given: Length of capacitor plate L=1 cm, Width of capacitor plate w=1 cm, d=5 mm, Vs=5 V, ε1=1 for…

A variable dielectric capacitive sensor as shown in the following figure is used to measure displacement via a Wheatstone bridge. C2 R3 dl E1 E1 Vs Eth C1 Eo = 8.85 x 10-12 F/m E =1 for air Ez=3 for dielectric Length of a capacitor plate = 1 cm Width of a capacitor plate= 1 cm C2 d=5 mm V=5 V Derive the expression for the capacitance C1 and C2 for any displacement x. Find the expression/value of x for a balanced bridge, given R3= R4=100 Q. 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. C2 R3 dl E1 E1 Vs Eth C1 Eo = 8.85 x 10-12 F/m E =1 for air Ez=3 for dielectric Length of a capacitor plate = 1 cm Width of a capacitor plate= 1 cm C2 d=5 mm V=5 V Derive the expression for the capacitance C1 and C2 for any displacement x. Find the expression/value of x for a balanced bridge, given R3= R4=100 Q. Derive the expression for the output voltage in terms of x. Comment on the sensitivity of this displacement sensor.

Electric Motor Control

10th Edition

ISBN:9781133702818

Author:Herman

Publisher:Herman

Chapter3: Magnetic Starters

Section: Chapter Questions

Problem 30SQ

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