How Do You Calculate Wire Resistivity in Physics Homework?

Click For Summary
SUMMARY

The discussion focuses on calculating the resistivity of a wire using the formula r = ρl/a, where ρ is resistivity, l is the length of the wire, a is the cross-sectional area, and r is the resistance. The user provided specific values: a wire length of 2.5 meters, a cross-sectional area of 2.0 mm², and a resistance of 1.5 ohms. The correct rearrangement of the equation to isolate resistivity is ρ = ra/l, allowing the user to compute the resistivity using the given values.

PREREQUISITES
  • Understanding of basic physics concepts, specifically Ohm's Law.
  • Familiarity with the formula for resistivity: r = ρl/a.
  • Ability to perform unit conversions, particularly from mm² to m².
  • Basic algebra skills for rearranging equations.
NEXT STEPS
  • Learn about unit conversions, especially for area measurements (e.g., mm² to m²).
  • Study Ohm's Law and its applications in electrical circuits.
  • Explore the concept of resistivity in different materials and its significance in physics.
  • Practice rearranging equations in physics to enhance algebra skills.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone seeking to understand the calculation of wire resistivity and the application of Ohm's Law in practical scenarios.

thunderstorm
hi, i am doing my physics homework at the moment, and i have got stuck on the last part of a question. it is asking for the resistivity of the wire- the values i have are
length of wire 2.5m, cross sectional area 2.0mm squared, current of 3.0a flowing through driven by p.d. of 4.5V. the first part of the question had me work out the resistance of the wire which i got as 1.5ohms.
i understand the equation for resistivity is
r= pl/a where p is the resistivity, l is length, a is area of wire and r is resistance?
so do i rearrange this equation to work it out? sorry for sounding stupid, i get confused easily and I'm not very good at rearranging equations, any tips? thanks
 
Physics news on Phys.org


Hi there,

No need to apologize, we all have trouble with certain concepts and equations at times. It's great that you have already calculated the resistance of the wire, as that is an important part of finding the resistivity.

To rearrange the equation, you can follow these steps:

1. Start with the equation r = pl/a
2. Multiply both sides by a: ra = pl
3. Divide both sides by l: ra/l = p
4. Rearrange the equation to isolate p: p = ra/l

Now you can plug in the values you have for resistance (r), length (l), and area (a) to solve for the resistivity (p).

I hope this helps! Don't be too hard on yourself, rearranging equations can be tricky but with practice, it will become easier. Keep up the good work on your physics homework!
 

Similar threads

  • · Replies 23 ·
Replies
23
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 30 ·
2
Replies
30
Views
3K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
6
Views
3K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K