How do you find the diameter of a wire

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Homework Help Overview

The discussion revolves around a physics problem involving a wire, where the original poster is tasked with finding the diameter and length of the wire given its voltage, mass, resistivity, and density. The subject area includes concepts from electrical resistance and material properties.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore relationships between voltage, mass, resistivity, and density, questioning how to derive the diameter and length from the given parameters. There are suggestions to use formulas related to resistance and area, as well as inquiries about how to extract length from density.

Discussion Status

The discussion is active, with participants providing hints and exploring different equations that may relate to the problem. Some guidance has been offered regarding the use of resistance formulas and the relationship between area and radius, but no consensus has been reached on a definitive approach.

Contextual Notes

Participants are navigating the constraints of the problem, including the need to derive length from mass density and the implications of using various physical equations. There is an acknowledgment of the complexity involved in connecting the provided variables.

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Homework Statement


I have a question where I'm given the voltage, mass, resistivity, and density of a wire and I need to find the diameter and the length. Can someone show me how to do both of these?


Homework Equations



I have no idea what equation would relate voltage, mass, resistivity, and density to the diameter and length.
 
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Heres a hint. R=pL/A (p is rho). Find another equation to this and solve for the radius in A and times that by 2 which will give you your diameter
 
The actual question is:
A 17.00 Ω resistor is made from a coil of copper wire whose total mass is 37.0 g. The resistivity of Cu is 1.68×10-8 Ω · m and its mass density is 8.90×103 kg/m3. What is the diameter of the wire?

So would I use Ohm's law V=IR to find I?
 
Im not totally sure but, you are given the mass density (kg/m^3). If you can find a way to get a length out of that (meters), you can use the formula I gave you and solve for A.
A=4∏r^2, then solve for r and times that by 2
 
How should I get a length out of the density?
 
Try 1 m^4/ mass (kg) units will cancel out leaving you with m
 

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