Circuit Analysis I with MATLAB Applications

3.10: Circuits with Non-Linear Devices

3.10 Circuits with Non-Linear Devices

Most electronic circuits contain non-linear devices such as diodes and transistors whose i v (current-voltage) relationships are non-linear. However, for small signals (voltages or currents) these circuits can be represented by linear equivalent circuit models. A detailed discussion of these is beyond the scope of this text; however we will see how operational amplifiers can be represented by equivalent linear circuits in the next chapter.

If a circuit contains only one non-linear device, such as a diode, and all the other devices are linear, we can apply Thevenin's theorem to reduce the circuit to a Thevenin equivalent in series with the non-linear element. Then, we can analyze the circuit using a graphical solution. The procedure is illustrated with the following example.

Example 3.13

For the circuit of Figure 3.63, the i v characteristics of the diode D are shown in Figure 3.64. We wish to find the voltage v D across the diode and the current i D through this diode using a graphical solution.


Figure 3.63: Circuit for Example 3.13

Figure 3.64: Diode i- v characteristics

Solution:

The current i D through the diode is also the current through the resistor. Then, by KVL


or


or


We observe that (3.61) is an equation of a straight line and the two points are obtained from it by first letting v D = 0, then, i D = 0. We...

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