Question

Determination of Capacitance

Small distances are commonly measured capacitively. Consider an air-filled parallel-plate capacitor with fixed plate area A=68mm2 and a variableplate-separation distance x. Assume this capacitor is attached to a capacitance-measuring instrument which can measure capacitance C in the range 3.0pF to3000.0pF with an accuracy of 0.3pF.

a) If C is measured while x is varied, over what range (xmin<x<xmax) can the plate seperation distance(in micrometers) bedetermined by this setup?

b)Define delta x to be the accuracy (magnitude) to which x can be determined, and determine a formula for delta x

c)Determine the percent accurracy to which xmin and xmax can be measured.

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