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The term steepness is often used in technology for the rise of a characteristic . From a mathematical point of view, the slope is the slope or the difference quotient of the characteristic line or curve . The slope angle of the characteristic curve, on the other hand, depends on the scales of the coordinate axes.

Characteristic curve of an amplifier tube with different operating points

For example, the following is referred to as steepness:

  • a parameter of measuring electrodes . When measuring the pH value, it indicates how large the measured voltage difference is when the concentration of an analyte changes by a decade order of magnitude (10 1 ). According to the Nernst equation , these ideally 59 mV per order (cheating, for a single electron -transfer, in a two-electron transfer corresponding to half. 29.5 mV, and 29.5 mV / pH, both at 25  ° C or 298.16  K ). Today, standard electrodes achieve a slope of 59 mV per order of magnitude over wide concentration and pH ranges.
  • a characteristic of electron tubes : the slope indicates the ratio of anode current change to a grid voltage change, see Barkhausen's tube formula and transconductance . It is specified here in mA / V (milliamps per volt) and is a measure of the gain factor for a given working resistance. In the adjacent figure, the slope is maximum in A operation.

See also