A certain inverting amplifier has a closed-loop voltage gain of 25. The Op-amp has an open-loop voltage gain of 100,000. If an Op-amp with…

The closed loop gain of the op-amp (AF) is related to the open loop gain of the op-amp (A0) by the relation:
$({A_f} = \frac{{{A_0}}}{{1 + {A_0}{\rm{\beta }}}})$ …… (1)
Since open loop gain is very large:
Then
1 + A0β ≈ Aoβ
Substituting in 1
$({A_f} = \frac{{{A_0}}}{{{A_0}{\rm{\beta }}}} = \frac{1}{\beta })$
β is the feedback ratio and depends only the feedback resistances

The closed loop gain of the op-amp (AF) is related to the open loop gain of the op-amp (A0) by the relation:

$({A_f} = \frac{{{A_0}}}{{1 + {A_0}{\rm{\beta }}}})$ …… (1)

Since open loop gain is very large:

Then

1 + A0β ≈ Aoβ

Substituting in 1

$({A_f} = \frac{{{A_0}}}{{{A_0}{\rm{\beta }}}} = \frac{1}{\beta })$

β is the feedback ratio and depends only the feedback resistances

remains at 25

remains at 25