yes, beta+1
cc/ce/cb doesn't give the no current gain
it is noninverting and while it gives no voltage gain it gives a large current gain.
CC gives only current gain, but no voltage gain; gives only limited power gainCB gives only voltage gain, but no current gain; gives only limited power gainCE gives both voltage and current gain; gives large power gain
Reason: The common Emitter mode has voltage and current gain better than the other two configurations(CB and CC). i.e it has a current gain greater than that of CC mode and greater voltage gain than that of CB mode.
CB gives a current gain of beta/(beta+1), which with typical beta values is just under one. Note that this current gain value is also known as alpha.
for the same reason cs is employed with FETs and cc is employed with vacuum tubes: high voltage gain & high current gain.
current gain
The Common Collector configuration amplifies current, by having the emitter voltage follow the base voltage, with an offset of the forward conduction voltage of about 0.7 volts, with a current gain of beta. (hFe)
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The Darlington arrangement in a common collector (CC) amplifier provides high current gain while maintaining a relatively low input impedance. This configuration consists of two bipolar junction transistors (BJTs) connected in such a way that the current amplified by the first transistor is further amplified by the second. This results in a significant increase in overall current gain without sacrificing the linearity or bandwidth of the amplifier. Additionally, the Darlington pair can drive heavier loads due to its ability to provide higher output current.
FETs don't have current gain as no current flows through the gate. The gain of a FET is a voltage gain and is called mu.