Current through a hollow copper cylinder

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Homework Help Overview

The problem involves calculating the current flowing through a hollow copper cylinder, given its dimensions, mass, and current density. The subject area relates to electrical properties of materials and geometric considerations in physics.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the formula for current in relation to current density and area, with some attempting to calculate the area of the cylinder. Questions arise regarding the correct interpretation of the dimensions and how to derive the outer radius from the given mass and density.

Discussion Status

There is an ongoing exploration of different approaches to find the area needed for the current calculation. Some participants have provided hints regarding the relationship between volume, mass, and density, while others are questioning the assumptions made about the geometry of the cylinder.

Contextual Notes

Participants note that the mass of the cylinder may be relevant for determining the outer radius through density calculations. There is also mention of the drift velocity, although its relevance to the current calculation is uncertain.

Ellesar
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Homework Statement


A 85.0 g hollow copper cylinder is 70.0 cm long and has an inner diameter of 1.0 cm. The current density along the length of the cylinder is 1.20×10^5 A/m^2. What is the current in the cylinder?

Homework Equations


possibly J = I/A where J is the current density

The Attempt at a Solution


I tried finding the current by using the formula I = JA, but when I did that, I didn't get the correct answer. Other than doing that, I have no idea about how to do this problem. Any pointers helping me to get started would be greatly appreciated.
 
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What did you use for the area of the cylinder?
 
surface area = 2*pi*r*h + 2*pi*r^2
 
I'm stuck on this problem too. We know the inner radius, how do you get the outer radius? I'm thinking I should subtract the surface area of the outer circle - the surface area of the inner circle to get the right area. Any hints? I also found the drift velocity -- not sure that'd help though. Simply multiplying J and A (with A = Pi * (5/1000)^2) gives the wrong answer (but not by a big margin).
 
Just for future reference -- the mass is put in there for you to use it with the density of copper to get the volume. Then you can get the outer radius by using the relation V = h*Pi*(R^2-r^2), and solving for R. The surface area, therefore, is just S.A. = Pi*(R^2-r^2) and you're done.
 

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