Calculating Resistance of a Copper Pipe Based on Length and Diameter

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Homework Help Overview

The discussion revolves around calculating the resistance of a copper pipe based on its length and diameter, specifically focusing on the formula for resistance and the area calculation for the pipe's cross-section.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to use the resistance formula R = ρ(L/A) and calculates the area using a specific formula. Participants question the validity of the area formula used and suggest recalculating using the radii instead of diameters.

Discussion Status

Participants are actively engaging in clarifying the correct formula for the area of the pipe's cross-section. There is a recognition of differing approaches to calculating the area, with some participants suggesting alternative methods and recalculating values.

Contextual Notes

There is a noted discrepancy in the area calculations, with participants discussing the implications of using diameters versus radii in their formulas. The original poster expresses uncertainty about their initial calculations.

GravityGirl
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A copper pipe has an inside diameter of 6.720 cm and an outside diameter of 8.000 cm. What length of this copper pipe will have a resistance of 8.05 × 10-3 W?

so i am using the equation R=rho(L/A)

A=pi(d2-d1)^2/4 which is 1.29E-4 m

and for copper rho is 1.7E-8

so 8.05E-3=(1.7E-8)(L/1.29E-4)

then L=60.93 m

but this isn't right.

please help me where i am going wrong.
 
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Where did you get the funny area formula? Don't you want pi*r2^2-pi*r1^2 where r's are the radii?
 
well i was just going to use the diameter...but i recalcualted te area using the radius instead and i came up with the same value
 
But (d2-d1)^2 is not equal to d2^2-d1^2.
 
so what did you get for the area...i still get 1.29E-4 m
 
0.00147 m^2. Throw out that formula and subtract the area of the two circles!
 
ok ok...i will do that
 

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