# FET amplifier

Generalised FET as an amplifier

An FET amplifier is an amplifier which uses one or more field-effect transistors (FETs). The main advantage of an FET used for amplification is that it has very high input impedance and low output impedance. These are two desirable features for an amplifier.

## In detail

The transconductance is given by

${\displaystyle g_{m}={I_{\mathrm {D} } \over V_{\mathrm {GS} }}}$

On rearranging, we get

${\displaystyle I_{\mathrm {D} }=g_{m}V_{\mathrm {GS} }}$

Thus, from this equation we can tell that output current Id is product of input voltage Vgs and the transconductance gm.[1]

## Equivalent circuit

The internal resistance r'gs, between gate and source appears between drain and source. r'ds is internal resistance between drain and source. As r'gs is very high, it is taken to be infinite and r'ds is neglected. [1]

## Voltage gain

For ideal FET equivalent circuit, voltage gain is given by,

Av=Vds/Vgs

From the equivalent circuit,

Vds=Id*Rd

and from the definition of transconductance,

Vgs=Id/gm

Thus we get,

Av=gm*Rd ...(2) [1]

## Types of FET amplifiers

There are three types of FET amplifiers depending upon the common terminal used as input and output. This is similar to a bipolar junction transistor (BJT) amplifier.

### Common gate amplifier

In a common gate amplifier, the gate terminal is common to both input and output.

### Common source amplifier

In a common source amplifier, the source terminal is common to both input and output.

### Common drain amplifier

In a common drain amplifier, the drain terminal is common to both input and output. It is also known as a "source follower".[2]

## References

1. ^ a b c Thomas L. Floyd (2011). Electronic Devices. Dorling Kinersley (India) Pvt. Ltd., licensees of Pearson Education in South Asia. p. 252. ISBN 978-81-7758-643-5.
2. ^ Allen Mottershead (2003). Electronic Devices and circuits. Prentice-Hall of India,New Delhi-110001. ISBN 81-203-0124-2.