In: Mechanical Engineering
You are investigating two sensors to use in an experiment. Sensor A has area 600 ± 0.3 mm2 and the gap thickness is 0.3 ± 0.01 mm. Sensor B has area 400 ± 0.25 mm2 and the gap thickness is 0.2 ± 0.02 mm. Estimate the relative (hint: this is a %) and absolute uncertainties (hint: this has units of capacitance) in capacitance for both sensors. Your experiment requires that the capacitance is measured accurately within 5%. Which would you select for your experiment? Justify your response.
C = 8.85 × 10^?15 F/mm A/t