Electronic – Very high resistance between gate and ground in MOSFET amplifiers

amplifiermosfet

I always see a very high resistance between the gate and the ground in n-channel MOSFET common-source amplifier. What is it's role? I think it is to prevent the signal input from bypassing the MOSFET and going to ground directly, but I am not sure. Am I right or wrong?

Best Answer

If I understand you correctly, you're asking why \$R_1\$ (and \$R_2\$) in the following schematic is usually taken to be very large, right?

enter image description here

In summary:

if you take big resistors for Gate's biasing you get low power waste by these resistors + high input impedance of the amplifier.

Explanation:

The main function of these resistors is to form a voltage divider which defines the DC portion of Gate's voltage. This action is known as "biasing".

However, this does not answer why take such a high value resistors. You can form voltage divider with any resistors, as long as their proportion is correct. There are (at least) two reasons why you want these resistors to be big:

  1. Note that the function of these resistors is to just bias the Gate of the MOSFET with correct voltage. However, there is current flowing from the supply to the ground through this voltage divider. The magnitude of this current is \$I_{DC}=\frac{V}{R_1+R_2}\$. The bigger these resistors are, the lower the current drawn from the power supply by this biasing divider.
  2. The input impedance for small AC signal (as seen from \$V_{in}\$ pin) of this amplifier is \$\sim R_1||R_2\$. The higher the values of these resistors, the higher the input impedance of the amplifier.