background image

®

M o d e l   N o .   T D - 8 5 1 3

 E x p e r im e n t  # 2 :  An g s t r o m ’s  M e t h o d

9

Experiment #2: Angstrom’s Method

Set up

1.

On the power supply, turn the Function switch to SET MAX and set the voltage 
limit to 8 V; this will prevent accidental overload during the experiment. Turn the 
Function switch to constant DC mode (

).

2.

Use two banana patch cords to connect the power supply to the Heat Conduction 
Apparatus. Connect the positive (

+

) terminal of the power supply to the red input 

jack of the Heat Conduction Apparatus; connect the negative (

) terminal of the 

power supply to the black input jack of the Heat Conduction Apparatus.

3.

On the Heat Conduction Apparatus set the switch to COOL.

4.

Use the included cable to connect the temperature port of the apparatus to the 
multiport of the Temperature Array. Connect the Temperature Array to the 
PASPORT interface. Connect the interface to a computer and start DataStudio.

5.

Measure the distance between the two thermistors embedded in each bar; their 
positions are marked by the white lines on the board.

6.

Make a drawing showing the layout of the apparatus including the Peltier device, 
the four bars, and the thermistors. Label each thermistor with the following des-
ignations:

T1 Wide Brass (far)
T2 Wide Brass (close)
T3 Narrow Brass (close)
T4 Narrow Brass (far)
T5 Aluminum (far)
T6 Aluminum (close)
T7 Stainless (close)
T8 Stainless (far)

Theory

In this experiment, you will measure the thermal conductivity of the metal bars using 
Angstrom’s method. A periodic wave travels down the bar and the resulting tempera-
ture wave is measured at two points using thermistors. The thermal diffusivity

α

, can 

determined by measuring the amplitude of the temperature wave at the close ther-
mistor (A

c

) and the amplitude at the far thermistor (A

f

) as well as the relative phase 

(

φ

) between these two waves. 

Equipment Required

Model

Heat Conduction Apparatus

TD-8513

DC Power Supply

PI-9877

Temperature Array

1

1

Temperature Array requires a PASPORT interface; see PASCO catalog or www.pasco.com

PS-2157

DC Power Supply

PI-9877

4 mm Banana Patch Cords (qty. 2)

SE-9750, SE-9751, or similar

Summary of Contents for TD-8513

Page 1: ...Heat Conduction Apparatus TD 8513 Instruction Manual 012 09189A...

Page 2: ...Apparatus Table of Contents Contents Introduction 3 Connections 4 Safety 4 Specifications 4 Material Properties 4 Experiment 1 Heat Conduction 5 Experiment 2 Angstrom s Method 9 Sample Data 13 Techni...

Page 3: ...embedded thermistors are labeled T1 through T8 these labels correspond to the Temperature Array channels 1 through 8 on which data is collected The lines printed on the board indicate the lateral pos...

Page 4: ...power supply connected to the red input port and the negative terminal connected to the black input port Set the voltage to zero Safety The Peltier device and metal bars can be hot Do not touch them w...

Page 5: ...mistors embedded in each bar their positions are marked by the white lines on the board 5 Make a drawing showing the layout of the apparatus including the Peltier device the four bars and the thermist...

Page 6: ...similar calculations for the other three bars be sure to subtract the far temperature from the close temperature Display all four calculations in a graph Which bar has the largest T Which bar has the...

Page 7: ...2 How has it changed when it reaches the far thermistor T1 2 Notice that there is a time lag between the two waves What causes this Measure the time lag How is the time lag related to the distance bet...

Page 8: ...The speed of any wave is related to its frequency and wavelength by Calculate the wavelength of this wave How does compare to the length of the entire bar 5 Create another graph showing temperatures...

Page 9: ...ors embedded in each bar their positions are marked by the white lines on the board 6 Make a drawing showing the layout of the apparatus including the Peltier device the four bars and the thermistors...

Page 10: ...ay t between the two waves is measured directly The relative phase is calculated using where Tn is the period of the harmonic Thus Combining these four equations yields Note that is independent of the...

Page 11: ...e driving wave stop record ing 3 On the graph measure the amplitudes of both waves Ac and Af and the time dif ference between corresponding peaks of the two waves t Make a copy of the table below and...

Page 12: ...nty for all data runs and compare your answer to the accepted value of k for aluminum B Brass Record two more data runs with a 50 second triangle wave so that you have a total of five Repeat the analy...

Page 13: ...ws the pulse arriving at the close thermistor 5 2 s before the far thermistor The distance between the ther mistors is 30 mm The pulse speed is 30 mm 5 2 s 5 8 mm s The temperature differences between...

Page 14: ...shows the temperatures increasing with the switch set to HEAT before the switch starts alternating The apparatus is driven with a square wave At the first close thermistor upper trace on the graph the...

Page 15: ...A Aluminum B Brass Wide brass bar Period s Ac Af t k W m K Average k W m K 30 0 671 0 206 5 38 165 172 0 673 0 214 5 22 174 0 673 0 219 5 28 176 40 0 912 0 341 6 21 171 166 0 909 0 339 6 28 169 0 903...

Page 16: ...Af t k W m K Average k W m K 50 0 578 0 142 10 2 103 102 0 599 0 150 9 9 108 0 571 0 142 10 8 98 0 577 0 147 10 8 100 0 589 0 151 10 5 103 Period s Ac Af t k W m K Average k W m K 100 0 800 0 051 37...

Page 17: ...classrooms and are not sold for profit Reproduction under any other circumstances without the written con sent of PASCO scientific is prohibited Trademarks PASCO PASCO scientific DataStudio and PASPO...

Page 18: ......

Reviews: