Electronic – Can Someone explain how HFE works

amplifierbjttransistors

I'm very new to circuits and was confused about HFE affecting collector current in a BJT. How does the base current affect collector current? Shouldn't it just amplifies the current at the emitter and not change the current drawn through the collector (what I mean to say is that shouldn't the current gain only affect output at the emitter and not the input at the collector)

Best Answer

The BJT is typically operated in one of three broad domains:

  1. cutoff: The base-emitter voltage is below some assumed threshold. For example, one might assume values below \$V_\text{BE}\le +400\:\text{mV}\$ for a silicon NPN. (\$V_\text{BE}\$ may be forward-biased, but only a little. It can also be reverse-biased.) The collector pin floats, in the sense that it has only a very high impedance to either the base or the emitter pins. Cutoff is usually attempted by trying to hold the base voltage actively close to the emitter voltage. The reason a small positive voltage can still be considered as 'cutoff' is because the allowed (being allowed and actually happening are two different things) collector current is so small -- in the tens of nanoamps, or less. And for most practical circuits, this is negligible. In more discerning circuits that intentionally deal with small currents, though, an NPN \$V_\text{BE}= +400\:\text{mV}\$ might very well not be considered cutoff, but instead active. (See #2.)
  2. active: The base-emitter voltage is above some assumed threshold. (For example, one might assume a forward-biased value above \$+500\:\text{mV}\$ for a silicon NPN.) The collector pin is now more actively connected to the emitter (has a strong galvanic connection to it.) Here, in this domain, the base has to supply a certain amount of current (a recombination current) in order to continually restore circumstances that would otherwise shut down the collector's active connection to the emitter. (I'll include a diagram below that elaborates this to a fine degree.) In this active mode, BJTs have a relationship between the collector current and the required base current that is relatively fixed over a range of three orders of magnitude, or more. (I'll include another diagram below to elaborate this also to a fine degree.) In this mode, a BJT's collector will behave similarly to a current source/sink (PNP/NPN.) Active mode is usually used for some form of analog amplification as opposed to switching.
  3. saturation: The base-emitter voltage is above some assumed threshold. (For example, one might assume a forward-biased value above \$+500\:\text{mV}\$ for a silicon NPN.) Just about the same situation as for active mode, above. The difference here is that the circuit external to the BJT causes (or permits might be a better way to say it) the collector voltage to closely approach the voltage of the emitter, enough so that the collector-base diode becomes slightly or heavily forward-biased. The degree of saturation is determined by just how forward-biased the collector-base junction becomes/is. This is often caused when a resistor is connected between a voltage source and the collector pin and when the base is able to support far more current than is needed for active mode operation. In this mode, a BJT's collector will behave similarly to a voltage source (rather than a current source.)

The following image shows you the fixed relationship between the collector and base current for a BJT (from Ian Getreu's "Modeling the Bipolar Transistor"):

enter image description here

But please keep in mind that while this relationship works over orders of magnitude, the exact relationship varies widely between BJTs, even those from the same family. For example, a 2N2222A device may be known to have \$\beta\approx 200\$. But any given device within a bag of them might vary by 50% in either direction, and no two of them exactly the same. It's also temperature sensitive, etc. So, while it is interesting behavior, you should not rely too much on any specific value for \$\beta\$ when designing a circuit for active mode operation.

The following image illustrates the various currents that operate inside a PNP BJT (from Jacob Millman's 1979 edition of "Microelectronics: Digital and Analog Circuits and Systems"):

enter image description here