In many keyboards, the key switches are built as air-filled parallel-plate capacitors with a spacing that decreases when the key is pressed. This change in spacing increases the capacitance, which connected circuitry registers as a keypress. Suppose the plate area on a key is 44.8 mm² and the unpressed plate separation is 0.63 mm. If the circuitry registers a keypress when the capacitance changes by 0.476 pF, calculate the distance (in mm) the key must travel to register a keypress.

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In many keyboards, the key switches are built as air-filled parallel-plate capacitors with
a spacing that decreases when the key is pressed. This change in spacing increases the
capacitance, which connected circuitry registers as a keypress. Suppose the plate area
on a key is 44.8 mm2 and the unpressed plate separation is 0.63 mm. If the circuitry
registers a keypress when the capacitance changes by 0.476 pF, calculate the distance
(in mm) the key must travel to register a keypress.
Transcribed Image Text:In many keyboards, the key switches are built as air-filled parallel-plate capacitors with a spacing that decreases when the key is pressed. This change in spacing increases the capacitance, which connected circuitry registers as a keypress. Suppose the plate area on a key is 44.8 mm2 and the unpressed plate separation is 0.63 mm. If the circuitry registers a keypress when the capacitance changes by 0.476 pF, calculate the distance (in mm) the key must travel to register a keypress.
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