A capacitive displacement transducer is designed to determine the rotary position from 0°→180° as shown in Figure Q3. The moving plate whose radius is 40mm is sandwiched between two fixed plates, spacing at 1mm. The dielectric constant of air is k = 1.The capacitive transducer is formulated as: C = farads d where; dielectric constant A = the area of the plate, in square meters €o = 8.854 x 10-12 in farads per meter = the plate spacing in meters k %3| d (a) Produce an equation of the change of the capacitance (F) when the moving plate is rotated from 0°→180°. (Hint: The circle area.) (b) Calculate the capacitance if the rotational angle is at 90°.

A capacitive displacement transducer is designed to determine the rotary position from 0°→180° as shown in Figure Q3. The moving plate whose radius is 40mm is sandwiched between two fixed plates, spacing at 1mm. The dielectric constant of air is k = 1.The capacitive transducer is formulated as: C = farads d where; dielectric constant A = the area of the plate, in square meters €o = 8.854 x 10-12 in farads per meter = the plate spacing in meters k %3| d (a) Produce an equation of the change of the capacitance (F) when the moving plate is rotated from 0°→180°. (Hint: The circle area.) (b) Calculate the capacitance if the rotational angle is at 90°.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter19: Capacitors

Section: Chapter Questions

Problem 3RQ: A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted...

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