PASCO PASPORT PS-2148 Manuel utilisateur

Instruction Manual

No. 012-08852A

IR Sensor

PS-2148

Introduction

The PASPORT IR Sensor measures infrared radiation intensity over a broad spectrum,

allowing students to study a variety of phenomena including blackbody radiation, the

Stefan-Boltzmann law, heat flow by radiation, solar radiance and non-contact temperature

measurement.

Included Equipment Part Number

IR Sensor PS-2148

Shutter with thumbscrew and washer 003-08860

Sensor Handle CI-9874 (4-pack)

Additional Equipment Required

PASPORT interface See PASCO catalog or www.pasco.com

DataStudio or DataStudio Lite

(required for computer-based data collection)

See PASCO catalog or www.pasco.com

DS Lite available for free download

Additional Equipment Recommended

PASPORT Extension Cord PS-2500

Aperture Bracket OS-8534

Thermal Cavity TD-8580

PS-2148

Sensor Handle

IR Sensor

Shutter

Thumbscrew

& Washer

IR Sensor Sensor Setup

2®

The sensor's silicon-based thermopile encapsulated in nitrogen with a

thallium bromide-iodide (KRS-5) window has a flat spectral response

from 0.7 to 30 µm. It measures radiation intensity up to 4500 W/m2. An

integrated thermistor measures the temperature of the detector allowing

the user to calculate detector-emitted radiation. In conjunction with a

PASPORT interface, the IR Sensor measures and records thermopile

voltage, radiation intensity and detector temperature at up to 100

samples per second.

Sensor Setup

Connect the IR sensor to a PASPORT interface either directly, or via a

PASPORT extension cord. If you are using a computer, connect the

interface to the USB port and start DataStudio.

By default the sampling rate of the sensor is 100 Hz. To change it, go to

the Experiment Setup window in DataStudio, or the Sensors screen of

the Xplorer GLX. To set up the sensor for estimating the temperature of

objects, see “Non-contact Temperature Sensor Simulation” on page 5.

If desired, connect the sensor handle to the ¼-20 threaded connector on

the sensor. This connector can also be used with any other ¼-20 screw.

It is not always necessary to attach the shutter, but it can be useful to

control the detector temperature. Install the shutter as shown using the

included thumbscrew and washer. Or use the sensor handle in place of

the thumbscrew.

To measure net IR intensity, point the sensor at a surface or object, such

as your hand or the sun, and start data collection in DataStudio or the

PASPORT interface. In DataStudio, intensity is automatically shown in

a digits display. In DataStudio or on the Xplorer GLX the data can also

be displayed in a graph, table, or meter.*

Background

IR Radiation

All objects emit IR radiation.The radiated power per unit area of an

object is given by the Stefan-Boltzmann law:

I= εσT4

Where Tis the objects’ absolute surface temperature, and σis the

Stefan-Boltzmann constant, equal to 5.670 ×10-8 W⋅m-2⋅K-4. The

emissivity, ε, is a property of the object’s surface and can range from 0

to 1. An object with ε= 1 is described as a blackbody.

Sensor Handle

and Shutter

Attachment

PS-2148

*Refer to the DataStudio

Help menu, or the

Xplorer GLX Users’

Guide for information on

setting up data displays.

Model No. PS-2148 Background

Theory of Operation

Consider a blackbody of temperature Ts, whose shape can be

approximated as an infinite plane, and a flat detector surface parallel to

source with area Ad.

Because radiation from an infinite plane propagates as a plane wave,

the power flow from the source to the detector (Psd) equals the radiation

emitted by a part of the source whose area is equal to the detector’s

area, regardless of the distance between the source and detector.

Psd = AdσTs

The detector itself also radiates in accordance to the Stefan-Boltzmann

law. If the detector’s temperature is Td, then power radiating out of the

detector is

Pd= AdσTd

Therefore, the net power absorbed by the detector is

P= Adσ(Ts

4−Td

The net intensity, which is what the sensor measures, is the net power

divided by the detector area.

The net power that flows onto the active detector area by radiation

(Psd −Pd) flows out of the detector by conduction to other parts of the

sensor. A proportion of that power is conducted through the thermopile,

which sets up a temperature different (∆T) across the thermopile. The

thermopile produces a voltage (V) that is proportional to ∆T.

If the sensor is warmer than the target source, then net power flows out

of the sensor, and ∆Tand Vare negative.

The net radiated power (P) is proportional the power flow through the

thermopile, which is proportional to ∆T, which, in turn, is proportional

to V; therefore, Vis proportional to P:

The constant,

, is known as the responsivity of the detector. For the

PS-2148 sensor,

is about 31 V/W.

The sensor amplifies the voltage produced by the thermopile and

converts it into a digital signal. A microprocessor in the sensor

calculates intensity, which is incident power divided by the area of the

detector (2.25 mm2). The thermopile voltage and intensity data are sent

digitally to the PASPORT interface or computer.

Pair of

Thermocouples

Thermopile

Cold

Hot

Cold

Hot

Thermopile

Source

What is a thermopile?

A thermopile is a series

of thermocouples

A thermocouple is the

unction of two different

metals. When two

thermocouples are

connected in series, and

are at different

temperatures, a voltage

proportional to the

temperature difference

occurs between them.

This voltage is usually

very small. In a

thermopile many

thermocouples are

connected in series (as

shown below) to produce

a larger voltage. The

thermopile in the

PS-2148 consists of 120

unctions etched in

silicon.

IR Sensor Usage Notes

4®

Usage Notes

Field of View

There are two simple arrangements

of source object and sensor.

In the first, the source approximates

an infinite plane. The radiation

propagates from the source as a

plane wave, and the intensity does

not increase with increasing

distance from the source. In this

arrangement the radiated power

incident on the active area of the

sensor is equal to the power emitted

by an equivalent area of the source.

This approximation is most accurate

when the source fills the entire 92°

field of view of the sensor.

The other simple arrangement is one where the source approximates a

point. In this case, the intensity of radiation emitted by the source obeys

the inverse-square law. The point source should be within the 48°field

of view so that it illuminates the entire active area. Ideally the source

should be directly in front of the sensor so that the radiation is normal

to the window and to the active area. Other sources of radiation that

you wish to ignore should be outside of the 92°field of view.

The Aperture Bracket, OS-8534, can be used to further limit the field of

view.

Power and Intensity

The sensor measures net intensity, which is net power divided by the

active area of the detector. The formula for net power is P= IA

d, where

Iis the measured net intensity and Ad= 2.25 mm2, is the detector area.

The net power equals the incident power from all external sources (Psd)

minus the power radiated by the detector, P= Psd - AdσTd

The temperature of the detector, Td, is measured by in integrated

thermistor.*

Detector Temperature Control

Every time you place the sensor near a hot object, the detector will

begin to heat up, and it will cool when you move it away. If you wish to

make several intensity measurements at a constant detector

92°

48°

Acti e

Area

Window

A plane source should fill the 92° field of view;

A point source should be within the 48° field;

Interfering sources should be outside of the 92° field

*To make the detector

temperature visible in

DataStudio, go the

Experiment Setup

window and select

Temperature with units of

K. On the Xplorer GLX,

go to the Sensors

screen.

Model No. PS-2148 Usage Notes

temperature, allow the detector to cool between each measurement by

moving it away from all hot objects. Then place the sensor near the

object to be measured and monitor the detector temperature as it

increases. Record the intensity when the detector temperature reaches a

certain value.

Alternatively, you can mount the shutter on the sensor and control the

temperature by opening and closing it.

Non-contact Temperature Sensor Simulation

Based on data collected by the IR sensor, and a calibration constant,

you can calculate the temperature of an object.

If the target object approximates a blackbody, then the voltage of the

thermopile is

V= k (Ts

4- Td

Where kis a constant that you will determined empirically using an

object of known temperature.

You must also know the temperature of the active area of the detector,

Td. The embedded thermistor does not measure Tddirectly; rather it

measures the temperature of the opposite side of the thermopile

(Td-∆T). However, since ∆Tis always much less than Td(measured in

Kelvin), the thermistor temperature is a good approximation of Td.*

The constant kdepends on several factors unique to each measurement

setup including the properties of the particular sensor used, deviation of

the target surface from an ideal blackbody, and any intervening

medium such as air. For more accurate results, the value of kshould be

empirically determined with an object of known temperature that is

similar to the objects of unknown temperature that you intend to

measure.

For the temperature calibration procedure you will need an object of

variable temperature, of which you can make a direct temperature

measurement. A cup of hot water is a convenient object. Ideally it

should have a matte surface so that its emissivity is close to 1.

You will also need a temperature sensor to measure the temperature

directly. The PASCO Fast-response Probe (PS-2135) works well

because it responds quickly to small changes. Use the probe with a

PS-23125 Temperature sensor or any other PASPORT sensor that

supports external probes; or connect the probe directly to the

temperature port of the Xplorer GLX interface.

Place the IR sensor close to the cup (but not touching) so that the

surface of the cup fills the sensor’s entire field of view. In this way the

surface is seen as an infinite plane, and the distance between the object

*To make the detector

temperature visible in

DataStudio, go the

Experiment Setup

window and select

Temperature with units of

This measurement is the

temperature of the

detector. Do not confuse

it with the temperature of

the target object.

IR Sensor Usage Notes

6®

and the sensor is irrelevant. Place the end of the fast-response

temperature probe in the cup close to the side that the IR sensor is

viewing.

Set up your computer or interface to calculate (Ts

4– Td

4), and to graph

(Ts

4–Td

4) versus thermopile voltage.*

Pour hot water (about 70°C) into the cup. Leave some room for ice, but

make sure that the water surface is above the sensor’s field of view.

Start data collection.

After a few seconds, add a piece of ice to the cup and stir gently.

Continue to add ice, one piece at a time, while stirring, until the

temperature has decreased by 20 K or more.

Stop data collection.

Apply a linear fit to the graph of (Ts

4– Td

4) versus voltage. The slope of

the best-fit line equals k.

Using this value of k, create a calculation of the form:

T = (k * V + Td ^ 4) ^ (1/4)

Where Vis the thermopile voltage, and Td is the detector temperature.

Take IR data for an object of unknown temperature; Tis the calculated

temperature of the object.

sis the temperature

measured by the

temperature probe;

dis

the temperature

measured by the IR

sensor’s internal

thermistor.

For information on setting

up graphs, linear fits, and

calculations, refer to the

DataStudio Help menu,

or the Xplorer GLX

Users’ Guide.

Actual source temperature (top), detector temperature (middle) and voltage (bottom) vs. time as ice is

added to hot water

Model No. PS-2148 Suggested Activities

Suggested Activities

Solar Radiation

Measure the radiation intensity from the sun. Compare it to the

intensity from a different part of the sky. (When measuring the

temperature of the sky, make sure that the sun and other objects such as

trees and buildings are not in the field of view.)

How does the presence of clouds, or the angle of the sun in the sky

affect solar radiation intensity?

According to your measurement of intensity, what is the total power

radiated by the sun? What is its surface temperature?

Intensity vs. Distance

Graph intensity as a function of distance. How does a point source such

as the filament of a small light bulb, compare to a larger source such as

a hotplate?

Intensity vs. Temperature

How is the temperature of an object (or the temperature difference

between the object and the sensor) related to the net intensity?

Cooling

Measure the temperature of a hot object as it cools, and measure the

radiation intensity emitted by it. How does the rate of temperature

change compare to the total radiated power? How does the total

temperature change compare to the total radiated energy? Besides

radiation, what are the other mechanisms of heat loss?

(Ts

4– Td

4) versus voltage

IR Sensor Further Reading

8®

Intensity vs. Emissivity

Using the TD-8580 Thermal Cavity, measure the radiation intensity

emitted by different surfaces at the same temperature. How do the color

and texture of surfaces affect the radiated intensity? Compare the

intensity from a surface to the intensity from a cavity of the same

temperature.

Radiated Power vs. Input Power of a Light Bulb

Measure the voltage and current applied to a small light bulb*, and the

radiation intensity emitted by it. Calculate the input electrical power,

and the total radiated power. How do they compare?

Second Law of Thermodynamics

The second law of thermodynamics states that heat tends to flow from a

hotter object to a cooler object. The objects do not have to be in contact

for this to occur because heat can be transferred through radiation.

Measure the net radiation intensity of an object that is cooler than the

sensor. In what direction is energy flowing? Allow the cool object and

the sensor to come to the same temperature. What happens to the

energy flow?

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