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Publish Date: Sep 6, 2006


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Using Transfer Functions with 5B37 Products

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Overview

This document describes how to calculate the gain and offset values for 5B37 Series products.

Introduction

Because the 5B37 is not linearized, the transfer function applies only gain and offset as well as necessary cold-junction compensation (CJC) and open thermocouple (T/C) protection (upscale).

The CJC sensor compensates for the use of a thermocouple and negates the effects of parasitic thermocouples, so that the input can be modeled as a simple millivolt source.

Millivolt values corresponding to a valid temperature may then be found in the T/C standard EMF output tables available from NIST.

Basic Formulas


The basic formula for calculating any gain and offset of this series is calculated as follows:

Vout = Gain * (Vin - Vzero)

Remember to use the differential span for Vout and Vin. To find the differential span, use the following formula:

Vspan = Vhi - Vlo

This formula applies for either inputs or outputs.

To find an output voltage for a given T/C and temperature, find the equivalent millivolt value and apply the following formula:

Vout = Gain * (Vin -Vzero)

To find an input temperature based on an output value use the following formula:

Vin = (Vout /Gain) + Vzero

This calculation yields the millivolt input, which you can then use to look up or calculate the corresponding input temperature.

Values for All Standard 5B37 Products


The following table shows the associated values for all standard 5B37 products.

5B37 Model
J-01
K-02
T-03
E-04
R-05
S-05
B-06
Temp (C)low-100-100-1000000
Rangehigh7601350400900175017501800
Vout (V)low0000000
Rangehigh5555555
Vin (mV)low-4.632-3.553-3.3780000
Rangehigh42.92254.12520.86968.78320.87818.50413.585
Vin span47.55457.67824.24768.78320.87818.50413.585
Gain (V/mV)0.1051430.0866880.2062110.0726920.2394860.2702110.368052
Vzero (mV)-4.632-3.553-3.3780000

For more information, contact Analog Devices at (617) 329-4700.
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