Emitter Follower2

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    Emitter Follower

    An emitter follower circuit shown in the figure is widely used in AC amplification circuits. The

    input and output of the emitter follower are the base and the emitter, respectively, while the

    collector is at AC zero, therefore this circuit is also called common-collector circuit.

    DC operating point

    Solving the second equation, we get :

    and

    :

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    Example

    Assume , , find so that the DC operating point is in the middle of

    the load line.

    Solving for , we get .

    AC small-signal equivalent circuit

    Voltage gain:

    We assume and therefore can be ignored, and have

    Now the voltage gain can be found to be:

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    As , is smaller than but approximately equal to 1. Note

    that , i.e., the output voltage is in phase with the input voltage.

    Input resistance:

    The input resistance is in parallel with the resistance of the circuit to its right including

    the load , which can be found as the ratio of the voltage and the current . But as

    we have

    and

    Comparing this with the input resistance of the common-emitter circuit ,

    we see that the emitter follower has much higher input resistance.

    Output resistance:

    The output resistance is in parallel with the resistance of the circuit to its left including

    the source but excluding , which can be found as the ratio of the open-circuit voltage

    ( ) and the short-circuit current ( ). As the voltage gain of the emitter

    follower is close to unity, the open-circuit output voltage is approximately the same as the source

    voltage . The short-circuit current can be found as

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    Therefore the output resistance is

    The overall output resistance can therefore be found to be

    Conclusion:

    The emitter follower is a circuit with deep negative feedback, i.e., all of its output is fed

    back to become part of its input . The fact that this is a negative feedback can be seen by:

    Due to this deep negative feedback, the voltage gain of the emitter follower is smaller than unity.

    However, the circuit is drastically improved in terms of its input and output resistances. In fact the

    emitter follower acts as an impedance transformer with a ratio of , i.e., the input resistance

    is times greater than and the output resistance is times smaller

    than .

    Comparing this with the input resistance and output resistances of the

    common-emitter transistor circuit, we see that the emitter follower circuit has very favorable

    input/output resistances.

    Although the emitter follower does not amplify voltage, due to its high input resistance drawing

    little current from the source, and its low output resistance capable of driving heavy load, it is

    widely used as both the input and output stages for a multi-stage voltage amplification circuit.