Introduction to the simple diode npn model

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Simple diode model of a npn.jpeg

A NPN transistor is composed of a N-type -P-type - N-type material. WE can view it this way. This model is very very simplistic. It is useful for determining the mode the transistor is in and help to visualize what else is going on. Please use caution. Transistor anaylsis is the art of knowing where and when what type of models should be used.

Contents

Equations [edit]

With this model the following equations can be derived

Terminology [edit]

The diode between the base and collector is often called the BC junction, the one between the base and emitter junction is often called the BE junction.

Important note [edit]

There are actually two versions of this model. The first model views the diodes as merely switchs that allow current to pass when the anode is at a higher potential then the cathode. The other model requires that the anode be not only at a higher voltage but that it has to be higher by a certain amount. This amount for the EBJ diode is called Vbe(on) the amount for the CBJ diode is Vbc (on). Typical values for these terms are around .3 volts for the Vbe (on) and .4 volts for the Vbc (on).

forward vs. reverse [edit]

If the junction diode is conducting we say it is in forward mode. If the junction diode is not conducting we say it is reverse.

derivations [edit]

So for our simplified model

  • EBJ is forward if and only if Vb > Ve. i.e. the voltage at the base is higher then the voltage at the emitter.
  • CBJ is forward if and only if Vb > Vc. i.e. the voltage at the base is higher then the voltage at the collector.
  • otherwise the diode is reverse.

For our model with Vbe (on) and V bc (on)

  • EBJ is forward if and only if Vb > Ve + Vbe(on). i.e. the voltage at the base is higher then the voltage at the emitter by the value of Vbe(on).
  • CBJ is forward if and only if Vb > Vc + Vbc(on). i.e. the voltage at the base is higher then the voltage at the collector by the value of Vbc(on).
  • otherwise the diode is reverse.