The maximum input impedance one can expect from an emitter follower, is limited by the finite gains of individual transistors (~ 50 to ~ 350). However, there is a way to increase the effective gain or transistors by using two transistors. The total gain of this transistor pair is
Gv1 x Gv2 = Gvtotal
(Gv ~ 2k - 100k). This is achieved by arranging the transistors such that the emitter of one is driving the base of the next and connecting the collectors together. This is known as a Darlington pair, and can be used as any single transistor would be: common emitter, emitter follower, etc. The down side of this arrangement, is reduced speed: because of the very high gain's effect on the collector to base capacitance, Co ( Ctotal = Co x Hfe
).
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