b) The parallel plate capacitor of Figure Q6A is to be used as part of a sensing system Dielectric - Figure Q6A. The cross sectional area of the plates is 4x 10* m and the distance between the plates is 0,2 mm. The dielectric has a relative permittivity of 2.5. ) Calculate the capacitance. Find the capacitive reactance if the applied AC trequency is 5 kHz.

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 4RQ: 4. In what form is the energy of a capacitor stored?
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Question 6
a)
Describe, with the aid of suitable diagrams, three methods of
using a parallel plate capacitor as a primary sensing element.
The parallel plate capacitor of Figure Q6A is to be used as part
of a sensing system
b)
Dielectric
Figure Q6A.
The cross sectional area of the plates is 4 x 10* m and the
distance between the plates is 0.2 mm. The dielectric has a
relative permittivity of 2.5.
Calculate the capacitance.
ii) Find the capacitive reactance if the applied AC frequency
is 5 kHz.
c)
An applied vertical force couses the distance between the plates
to reduce to 0.18 mm. Calculate the change in capacitance caused
by the applied force.
Briefly explain how the effect of changes in frequency could be
negated if the sensor was connected to an AC bridge.
d)
(Question 6 continues overleaf)
Page 9 of 14
(Question 6 continues below)
The coaxial capacitor of Figure Q58 is used as the basis of a
displacement sensor, with the displacement moving the central
core to the left, hence reducing the shared length (L).
e)
Diplacement.
Figure Q58.
The capacitance is given by:
In (b/a)
The outer cylinder has a radius (b) of 18 mm and an 'overlapping
length (L) of 20 mm. The radius of the inner cylinder (a) is 16 mm.
Find
f)
The capacitance at zero displacement.
The new value of capacitance if the displacement of the
inner core is 2 mm to the left, as shown in Figure Q5B.
9)
Capacitive sensors may be used as proximity sensors.
Identify one advantage and one disadvantage of capacitive
proximity sensors.
i)
Suggest an alternative type of proximity sensor.
Transcribed Image Text:Question 6 a) Describe, with the aid of suitable diagrams, three methods of using a parallel plate capacitor as a primary sensing element. The parallel plate capacitor of Figure Q6A is to be used as part of a sensing system b) Dielectric Figure Q6A. The cross sectional area of the plates is 4 x 10* m and the distance between the plates is 0.2 mm. The dielectric has a relative permittivity of 2.5. Calculate the capacitance. ii) Find the capacitive reactance if the applied AC frequency is 5 kHz. c) An applied vertical force couses the distance between the plates to reduce to 0.18 mm. Calculate the change in capacitance caused by the applied force. Briefly explain how the effect of changes in frequency could be negated if the sensor was connected to an AC bridge. d) (Question 6 continues overleaf) Page 9 of 14 (Question 6 continues below) The coaxial capacitor of Figure Q58 is used as the basis of a displacement sensor, with the displacement moving the central core to the left, hence reducing the shared length (L). e) Diplacement. Figure Q58. The capacitance is given by: In (b/a) The outer cylinder has a radius (b) of 18 mm and an 'overlapping length (L) of 20 mm. The radius of the inner cylinder (a) is 16 mm. Find f) The capacitance at zero displacement. The new value of capacitance if the displacement of the inner core is 2 mm to the left, as shown in Figure Q5B. 9) Capacitive sensors may be used as proximity sensors. Identify one advantage and one disadvantage of capacitive proximity sensors. i) Suggest an alternative type of proximity sensor.
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