Low Cost Category

2002 AAPT Apparatus Competition, Boise State University

 

Name:                P. J. Ouseph

 

Address:         Physics Department

                        University of Louisville        

                        Louisville, KY 40292                

                             

Phone:              502  852 0918

Fax:   502  852 0742            

E-mail:             pjouse01@louisville.edu

 

 

Apparatus Title:  Square Carbon Paper Resistors

 

Abstract (40-50 words)

Five square resistors are made using conducting carbon paper with electrodes drawn on them.  A multimeter is used to measure the resistance of the resistors. All these resistors have equal resistance, that is, resistance of a square resistor is independent of its width and length.

 

 

 

Equipment required to construct apparatus:

Item                                        Source/Store     Part Number     Cost
1. 2 sheets of carbon paper,    Pasco                  PK 9026             $  1.00
2. Conductive ink pen,             Pasco                  PK 9031B          $ 17.00
3. Digital Multimeter,              Pasco                  SE-9786             $ 41.00
                                                                          
Total cost          $ 59.00

Description

Squares of 1 in, 2 in, 3 in, 4 in and 5 in sides are cut from conducting carbon paper purchased from Pasco and electrodes are drawn on them with conducting ink pen (available from Pasco). A multimeter is used to measure their resistances. It is interesting for the students to observe that all resistors, independent of their size, are of equal resistance.  Explaining this result is found to be educational, especially in teaching the resistance equation, R = rl/A. Cross sectional area of the carbon paper resistor, A = t x w, where t is the thickness of the paper and w, its width. Since the resistor is square its width is equal to length. Therefore, R = r/t. That is the resistance of the square resistor is independent of its dimensions.