Electronic – The relationship between \$\beta\$ and \$I_C\$, \$V_{CE}\$

bjttransistors

It was pointed out to me recently that I don't have a good understanding of the varying relationship between a BJT's \$\beta\$ parameter (or \$h_{FE}\$) and the operating point of the transistor.

Typically you would think that this sort of information comes from the datasheet, but when you go to a common one like a 2N2222, you get a mixed-up sampling of random operating points:
hFE data for a 2N2222

I did learn that you cannot rely on \$\beta\$ or \$h_{FE}\$ as a design parameter which can vary with temperature and age (up to around 50% to 200%), but the relationship between \$\beta\$ and operating point is not something that any class covered.

What general trends and rules of thumb are used to make sense of the varying \$\beta\$ value? What are the factors and considerations for the varying \$\beta\$ when you are designing transistor circuits?

Best Answer

What general trends and rules of thumb are used to make sense of the varying β value? What are the factors and considerations for the varying β when you are designing transistor circuits?

The answer to the first question. You can use either negative feedback, or you can force a certain parameter set, and allow for variation. An example of negative feedback is using emitter degeneration resistors in Common Emitter amplifiers. An example of forcing parameters is using a current source to bias the transistor and then simply ensuring that there's enough current and voltage on the input to keep it linear. (which isn't hard for most signal level transistors)

As for factors and considerations for varying β, I've never personally bothered to take any other than "use the worse case β." If the β, is higher, then you get less current draw from the source: Win. If it's the worst, then no harm no foul. Also, taking the time to calculate Rin and Rpi never hurt either.

Finally, at the end of the day, if β is really important, Mosfets and Jfets have an almost infinite β (~10^9 -> ~10^12). See if that's more what fits your needs. After all, it's not like we've found some transistor that is all encompassing and perfect in every scenario.