Find the output of the following circuit : ![A three-op-amp network. $A_1$ is an inverting amplifier: input $1\text{ V}$ through $2\text{ k}\Omega$, feedback \(4\text{ — Class 12 Electronics question](/figures/operational-amplifiers/three-amp-network-inverting-amplifier-input-text-fig-pyq-y4tlf3.svg)

Find the output of the following circuit :

Solved Examples · Example 6

Q. Find the output of the following circuit :

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[!TLDR]

With $V_{O1}=-2\text{ V}$ from the inverting stage and $V_{O2}=6\text{ V}$ from the non-inverting stage, the subtractor output is $V_O=4\text{ V}$ .

The signal passes through three op-amp stages, each analysed with its own standard relation.

Stage $A_1$ (inverting amplifier):

V_{O1}=-\dfrac{R_f}{R_i}V_i=-\dfrac{4\text{k}}{2\text{k}}\times1=-2\text{ V}

Stage $A_2$ (non-inverting amplifier):

V_{O2}=\left(1+\dfrac{R_f}{R_i}\right)V_i=\left(1+\dfrac{6\text{k}}{3\text{k}}\right)\times2=3\times2=6\text{ V}

Stage $A_3$ (subtractor), which combines the two stage outputs: …