The gain when non inverting amplifier fed back to input of inverting amplifier?

When the output of a non-inverting amplifier is fed back to the input of an inverting amplifier, the overall gain of the circuit will be the product of the gains of the two amplifiers.

The gain of a non-inverting amplifier is given by the formula:

Gain = 1 + (Rf / Rin)

Where Rf is the feedback resistor and Rin is the input resistor.

The gain of an inverting amplifier is given by the formula:

Gain = - (Rf / Rin)

When the output of the non-inverting amplifier is fed back to the input of the inverting amplifier, the overall gain of the circuit will be:

Overall Gain = (1 + (Rf / Rin)) * (- (Rf / Rin))

Simplifying this expression, we get:

Overall Gain = - (Rf^2 / Rin^2)

Therefore, the overall gain of the circuit when the output of a non-inverting amplifier is fed back to the input of an inverting amplifier is negative and is determined by the ratio of the feedback resistor to the input resistor squared.

The gain when a non-inverting amplifier is fed back to the input of an inverting amplifier is:

```
A = -[Rf / Ri]
```

where:

- A is the overall gain
- Rf is the feedback resistor
- Ri is the input resistor of the non-inverting amplifier

This configuration is known as a negative feedback amplifier. The negative feedback reduces the gain of the amplifier, but it also improves the stability and linearity of the amplifier.