Converting the diameter for the equation l = RA/rho

  • Thread starter Thread starter vikz
  • Start date Start date
  • Tags Tags
    Diameter
Click For Summary

Homework Help Overview

The discussion revolves around calculating the length of an aluminium wire needed to achieve a specific resistance using the formula l = RA/rho. The problem involves converting the diameter of the wire into a usable form for this calculation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to understand the conversion of diameter to cross-sectional area and how it relates to the resistance formula. Questions are raised about the significance of the variables R, A, and rho, and which of these depend on the diameter of the wire.

Discussion Status

Participants are actively clarifying the definitions of the variables involved in the equation and exploring the relationship between diameter and cross-sectional area. There is ongoing inquiry into how to proceed with the calculations based on these definitions.

Contextual Notes

The diameter of the wire is given as 0.5 mm, and there is a focus on understanding the necessary conversions and implications for the resistance calculation. The resistivity of the material is also specified, which may influence the discussion.

vikz
Messages
3
Reaction score
0

Homework Statement



An aluminium wire has diameter 0.5 mm and resistivity 2.8 X 10-6 Ohm cm. How much lenth of this wire is required to make a 20 Ohm coil?

Please tell me how to convert Diameter 0.5mm? what's the procedure?
After that I can directly apply-
l = RA/rho
 
Physics news on Phys.org
vikz said:

Homework Statement



An aluminium wire has diameter 0.5 mm and resistivity 2.8 X 10-6 Ohm cm. How much lenth of this wire is required to make a 20 Ohm coil?

Please tell me how to convert Diameter 0.5mm? what's the procedure?
After that I can directly apply-
l = RA/rho


What do each of your variables signify, R, A, rho?
 
sjb-2812 said:
What do each of your variables signify, R, A, rho?

R = Resistance
rho= Electrical Resistivity of the material of the conductor.
A = Area of cross-section

SI unit of resistivity is Ohm m
 
Last edited:
vikz said:
R = Resistance
rho= Electrical Resistivity of the material of the conductor.
A = Area of cross-section

Which of those variables depends directly the radius (or diameter) of the wire?
 
gneill said:
Which of those variables depends directly the radius (or diameter) of the wire?

R is inversely propositional to 1/A
 
Last edited:
Suppose that d=0.5mm is the diameter of the wire. What is the cross sectional area, A?
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 21 ·
Replies
21
Views
12K
  • · Replies 7 ·
Replies
7
Views
10K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 5 ·
Replies
5
Views
9K
Replies
5
Views
14K
  • · Replies 3 ·
Replies
3
Views
2K