GATE EC 2014 Set 4 — Question 47
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Analog Circuits → BJT & MOSFET Amplifiers → CE, CB & CC Configurations
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Question
Consider the common-collector amplifier in the figure (bias circuitry ensures that the transistor operates in forward active region, but has been omitted for simplicity). Let be the collector current, be the base-emitter voltage and be the thermal voltage. Also, and are the small-signal transconductance and output resistance of the transistor, respectively. Which one of the following conditions ensures a nearly constant small signal voltage gain for a wide range of values of ?

Correct answer
(B) I_C R_E V_T
Solution
The voltage gain of a common-collector amplifier (emitter follower) is given by:For the gain to be nearly constant and close to unity for a wide range of , we require:Substituting :Thus, option (B) is correct.
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