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Question

A capacitive transducer is used for measurement of displacement using an opertional amplifier as shown in the figure.


If the capacitance of capacitive transducer is given by Cx=ϵ0 A/x. where A is the area of the plates and x is distance between the plate. Then the relationship between the output voltage V0 and input displacement is given by

A
V01x
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B
V0x2
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C
V0x
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D
V0x
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Solution

The correct option is C V0x
The circuit is working in inverting mode

V0Vi=Z1Zx=1jωCx×jωC1=C1ϵ0A/x

V0=[C1Viϵ0A]x=Kx

V0x

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