24-19 Small distances are commonly measured capacitively.
Consider an air-filled parallel-plate capacitor with fixed plate area A 25 mm2 and a variable plate-separation distance x.
Assume this capacitor is attached to a capacitance-measuring instrument which can measure capacitance C in the range1.0 pF to 1000.0 pF with an accuracy of C0.1pF.
a If C is measured while x is varied over what range x_min x_max can the plate-separation distance in μm be determined by this setup? b Define x to be the accuracy magnitude to which x can be determined and determine a formula for x.
c Determine the percent accuracy to which x_min and x_max can be measured.
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