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handbook of modern sensors

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356 10 Pressure Sensors<br />

Fig. 10.15. Pirani vacuum gauge with NTC thermistors operating in self-heating mode.<br />

The same voltage E that feeds the reference plate is applied to the thermistor S v on<br />

the sensing plate via R v = R r . The output voltage V is taken differentially from the<br />

sensing thermistor and the bridge. The shape <strong>of</strong> the transfer function is shown in Fig.<br />

10.14B. A vacuum sensor <strong>of</strong>ten operates with gases that may contaminate the sensing<br />

plates so the appropriate filters must be employed.<br />

10.9.2 Ionization Gauges<br />

This sensor resembles a vacuum tube that was used as an amplifier in the old-fashioned<br />

radio equipment. The ion current between the plate and the filament (Fig. 10.16A) is<br />

a nearly linear function <strong>of</strong> molecular density (pressure) [16,17]. The vacuum gauge<br />

tube has a reversed connection <strong>of</strong> voltages: The positive high voltage is applied to a<br />

grid and negative lower voltage is connected to the plate. The output is the ion current<br />

i p collected by the plate that is proportional to pressure and the electron current i g<br />

<strong>of</strong> the grid. Presently, a further improvement <strong>of</strong> this gauge is the so-called Bayard–<br />

Alpert vacuum sensor [18]. It is more sensitive and stable at a much lower pressure.<br />

Its operating principle is the same as a vacuum tube gauge, except that the geometry is<br />

different—the plate is substituted by the a wire surrounded by a grid and the cathode<br />

filament is outside (Fig. 10.16B).<br />

10.9.3 Gas Drag Gauge<br />

The gas molecules interact with a moving body. This is the basic idea behind the<br />

spinning-rotor gauge [19]. In the current implementation <strong>of</strong> the sensor, a small steel<br />

ball having a diameter <strong>of</strong> 4.5 mm is magnetically levitated (Fig. 10.16C) inside a<br />

vacuum chamber and spinning with a rate <strong>of</strong> 400 Hz. The ball magnetic moment

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