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Displacement Vector

A capacitvie ...

Question

A capacitvie transducer consists of two parallel plates of diameter $2 c m$ each separated by an air gap of $0.25$ mm and has nominal capacitance of $150 p F$ . The displacement sensitivity of the transducer is _____ $p F / m m$
-600

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Solution

The correct option is A -600
$∵ C = A ϵ / d$

$S = \frac{\partial C}{\partial d} = - \frac{A ϵ}{d^{2}}$

$= - \frac{A ϵ}{d} . \frac{1}{d}$

$= - \frac{C_{0}}{d} = - \frac{150}{0.25}$

$= - 600 p F / m m$

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