
#1
Feb2005, 07:43 AM

P: 25

Is the correct equation that relates to the electrical resistivity of a conducting material to its resistance:
p = RS/l p = is the electrical resistivity R = is the resistance of the material S = is the crosssectional area l = is the length of the specimen if I'm using the right formula, would my answer to this question be correct? A potential difference of 1.5V exists across the ends of a copper wire of length 2.0m and uniform radius 0.40mm. Calculate the current in the wire. I've been given the resistivity of copper as 1.7 x 10^4 ohms.meter [Answer] p = RS/l = (1.7 x 10^4) x 0.40mm / 2.0m = 0.0007 x 0.0004 / 2.0 = 0.00000014 corecto? 



#2
Feb2005, 08:05 AM

Mentor
P: 40,883

First, you need to calculate the resistance (R) of that piece of copper wire, not the resistivity ([itex]\rho[/itex], which is a fixed property of copper). You are given the resistivity, not the resistance. Rearrange that formula as so: [tex]R = \rho L / S[/tex] Once you find the resistance, then you can use Ohm's law to find the current. 



#3
Feb2005, 09:44 AM

P: 25

Thanks Doc!
Using the rearranged formula I've calculated: R = pl/S R = 0.0007 x 2.0 / 0.0004 R = 0.0014 / 0.0004 R = 3.5 Ohms Using Ohms Law I = V/R I = 1.5V (as stated in the question) / 3.5 ohms I = 0.42857.. I = 0.43 



#4
Feb2005, 10:24 AM

Emeritus
Sci Advisor
PF Gold
P: 11,154

Electrical Resistivity Equation
You are given the radius of the wire, not its crosssectional area.




#5
Feb2005, 01:09 PM

P: 25

Thanks Gokul! I've really got to start reading questions more thoroughly.. I'm losing marks like this all of the time



Register to reply 
Related Discussions  
What determins the electrical resistivity of different metals?  General Physics  2  
why does the resistivity of a metal increases  Materials & Chemical Engineering  1  
Resistivity & Electrical Energy  Introductory Physics Homework  2  
resistivity?  Introductory Physics Homework  1 