(a) Interpretation: An expression for an output voltage in terms of the resistances and three input voltages and is to be determined for the given circuit. Concept introduction: Based on the given circuit, we have two inverting summing amplifier configuration. Generally, the output of an inverting summing amplifier for two inputs is given by, v 0 = − R f ( v 1 R 1 + v 2 R 2 ) , R f represents feedback resistance and R 1 and R 2 represent the resistance at the input terminals corresponding to the respective input voltages v 1 and v 2 . We can use this general expression to obtain the specific output voltage at first stage and then using which the final output can be found.

BuyFind

Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213
BuyFind

Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213

Solutions

Chapter 3, Problem 3.16QAP
Interpretation Introduction

(a)

Interpretation:

An expression for an output voltage in terms of the resistances and three input voltages and is to be determined for the given circuit.

Concept introduction:

Based on the given circuit, we have two inverting summing amplifier configuration.

Generally, the output of an inverting summing amplifier for two inputs is given by,

v0=Rf(v1R1+v2R2) ,

Rf represents feedback resistance and R1 and R2 represent the resistance at the input terminals corresponding to the respective input voltages v1 and v2.

We can use this general expression to obtain the specific output voltage at first stage and then using which the final output can be found.

Interpretation Introduction

(b)

Interpretation:

The mathematical operation which is performed by the circuit for the given values is to be determined.

Concept introduction:

The expression for the output has been obtained in part (a). In this expression, we need to substitute the values of the resistances so that the nature of operation performed by the circuit can be analyzed.

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