Chapter 3, Problem 3.19QAP

Interpretation Introduction

Interpretation:

An expression for output voltage should be determined for the circuit shown below.

Concept introduction:

The given circuit represents an integrator. Here we have two inputs $v_1\text{ and }{v}_2$ and the respective currents be $i_1\text{ and }{i}_2$. Since input current flowing into the op-amp is zero, we have the current flowing through the feedback loop, $i_f$. Hence,

$i_1\text{+}{i}_2=i_f$

Expressing the currents in terms of input and output voltages in the expression gives the final output voltage.