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27 Nov 2019
Small distances are commonly measured capacitively. Consider anair-filled parallel-plate capacitor with fixed plate areaA=68mm2 and a variable plate-separation distance x.Assume this capacitor is attached to a capacitance-measuringinstrument 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 seperationdistance(in micrometers) be determined by this setup?
b)Define delta x to be the accuracy (magnitude) to which x canbe determined, and determine a formula for delta x
c)Determine the percent accurracy to which xmin andxmax can be measured.
Small distances are commonly measured capacitively. Consider anair-filled parallel-plate capacitor with fixed plate areaA=68mm2 and a variable plate-separation distance x.Assume this capacitor is attached to a capacitance-measuringinstrument 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 seperationdistance(in micrometers) be determined by this setup?
b)Define delta x to be the accuracy (magnitude) to which x canbe determined, and determine a formula for delta x
c)Determine the percent accurracy to which xmin andxmax can be measured.
