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it is a mode of amplifier connection where the base part of the transistor is made common to both input and output.the circuit diagram is as shown below. the transiator gain(represented by the greek letter beta-B) is usually evaluated by the formula B=output current divided by input current. as we know that when the transistor is connected in common base mode the input pert will be emitter and the output part will be collector and we know that the collector current is quiet less than emitter current. as per the formula gain will be less than one. practically we consider emitter current as equal to collector current and hence B approaches 1 in case of common base mode amplifiers.as the gain is very less it is very less used as amplifiers. generally they use common emitter mode for amplification as this mode optimum amount of amplification.

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