Question

an amplifier has an input resistance of 100k a short-circuit transconductance of 10 mA/V and an output resistance of 100k. Find the open-circuit voltage gain

Answer 1

The open-circuit voltage gain of the amplifier is 1,000 V/V, calculated by multiplying the short-circuit transconductance (0.01 A/V) by the output resistance (100 kΩ).

Step-by-step explanation:

To find the open-circuit voltage gain (Avo) of an amplifier, you can use the following relationship:

Avo = gm * Rout

where gm is the short-circuit transconductance and Rout is the output resistance. Given that the amplifier has a short-circuit transconductance (gm) of 10 mA/V, which is equal to 0.01 A/V, and an output resistance (Rout) of 100 kΩ, you can calculate the open-circuit voltage gain by multiplying these two values:

Avo = 0.01 A/V * 100,000 Ω = 1,000 V/V

Answer 2

The open circuit voltage gain is
`A_(vo)=-10^(3)`

Step-by-step explanation:

Given data is input resistance of an amplifier is
`R_(in)=100k`Ω and output resistance of an amplifier is
`R_(o) =100k`Ω.

Trans conductance of an amplifier is
`g_(m)=10mA/V`

Thus Open circuit voltage gain is

`A_(vo) =-g_(m)R_(o)`

`A_(vo)=-10`×
`10^(-3)`×100×
`10^(3)`

Since 1m=
`10^(-3)` and 1k=
`10^(3)`

Thus,

`A_(vo)=-1000`

`A_(vo)=-10^(3)`