Small distances are commonly measured

Chapter 24, Problem 24.19

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Small distances are commonly measured capacitively.Consider an air-filled parallel-plate capacitor with fixed platearea A = 25 mm2 and a variable plate-separation distance x.Assume this capacitor is attached to a capacitance-measuringinstrument which can measure capacitance C in the range1.0 pF to 1000.0 pF with an accuracy of AC = 0.1 pF.(a) If C is measured while x is varied, over what range(*min ^ x < xmax) can the plate-separation distance (in /xm)be determined by this setup? (b) Define Ax to be theaccuracy (magnitude) to which x can be determined, and determinea formula for Ax. (c) Determine the percent accuracy to

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