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The simplest I–V curve is that of a resistor, which according to Ohm's law exhibits a linear relationship between the applied voltage and the resulting electric current; the current is proportional to the voltage, so the I–V curve is a straight line through the origin with positive slope. The reciprocal of the slope is equal to the resistance.
A log–log plot of y = x (blue), y = x 2 (green), and y = x 3 (red). Note the logarithmic scale markings on each of the axes, and that the log x and log y axes (where the logarithms are 0) are where x and y themselves are 1. Comparison of linear, concave, and convex functions when plotted using a linear scale (left) or a log scale (right).
The logarithmic scale used for the bottom plot is useful for expressing the equation's exponential relationship. The Shockley diode equation , or the diode law , named after transistor co-inventor William Shockley of Bell Labs , models the exponential current–voltage (I–V) relationship of semiconductor diodes in moderate constant current ...
In mathematics, this means taking a function and breaking it down into several linear segments. This method is used to approximate the diode characteristic curve as a series of linear segments. The real diode is modelled as 3 components in series: an ideal diode, a voltage source and a resistor.
A log amplifier, which may spell log as logarithmic or logarithm and which may abbreviate amplifier as amp or be termed as a converter, is an electronic amplifier that for some range of input voltage has an output voltage approximately proportional to the logarithm of the input:
As discussed above, the function log b is the inverse to the exponential function . Therefore, their graphs correspond to each other upon exchanging the x - and the y -coordinates (or upon reflection at the diagonal line x = y ), as shown at the right: a point ( t , u = b t ) on the graph of f yields a point ( u , t = log b u ) on the graph of ...
Exponential functions with bases 2 and 1/2. In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative equal to its value. . The exponential of a variable is denoted or , with the two notations used interchangeab
In a semi-log plot (using a logarithmic scale for current and a linear scale for voltage), the diode's exponential curve instead appears more like a straight line. Since a diode's forward-voltage drop varies only a little with the current, and is more so a function of temperature, this effect can be used as a temperature sensor or as a somewhat ...