3.6 LIMITATIONS OF OHM’S LAW
Although Ohm’s law has been found valid over a large class of materials, there do exist materials and devices used in electric circuits where the proportionality of V and I does not hold. The deviations broadly are one or more of the following types:
-
ceases to be proportional to (Fig. 3.5).3.5
The dashed line represents the linear Ohm’s law. The solid line is the voltage versus current for a good conductor. -
The relation between
and depends on the sign of . In other words, if is the current for a certain , then reversing the direction of keeping its magnitude fixed, does not produce a current of the same magnitude as in the opposite direction (Fig. 3.6). This happens, for example, in a diode which we will study in Chapter 14.3.6
Characteristic curve of a diode. Note the different scales for negative and positive values of the voltage and current. -
The relation between
and is not unique, i.e., there is more than one value of for the same current (Fig. 3.7). A material exhibiting such behaviour is GaAs. Materials and devices not obeying Ohm’s law in the form of Eq. (3.3)3.7
Variation of current versus voltage for GaAs.