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27 Nov 2019
Small distances are usually measured capacitively.Consider anair-filled parallel-plate capacitor with fixed plate area A= 25mm2 and a variable plate-seperation distance x. Assumethis capacitor is attached to a capacitance-measuring instrumentwhich can measure capacitance in the range 1.0 pF to 1000.0 pF withan accuracy of ÎC= 0.1 pF.
(a). if C is measured while x is varied , over what range(xmin <= x <= xmax ) can theplate-seperation distance x (in μF) be determined by thissetup?
(b). Define Îx to be the accuracy ( magnitude) to which x can bedetermined. Determine a formula for Îx.
(c). Determine the percent accuracy to which xmin andxmax can be measured.
Small distances are usually measured capacitively.Consider anair-filled parallel-plate capacitor with fixed plate area A= 25mm2 and a variable plate-seperation distance x. Assumethis capacitor is attached to a capacitance-measuring instrumentwhich can measure capacitance in the range 1.0 pF to 1000.0 pF withan accuracy of ÎC= 0.1 pF.
(a). if C is measured while x is varied , over what range(xmin <= x <= xmax ) can theplate-seperation distance x (in μF) be determined by thissetup?
(b). Define Îx to be the accuracy ( magnitude) to which x can bedetermined. Determine a formula for Îx.
(c). Determine the percent accuracy to which xmin andxmax can be measured.
