Question regarding Electrical conduction(Resistance)

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Homework Help Overview

The discussion revolves around calculating the resistance of a carbon film in two scenarios: first, between opposite edges of a square film, and second, on the curved surface of a cylindrical rod. The original poster expresses confusion particularly with the second question regarding the relationship between the two parts and the meaning of 'curved surface.'

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the resistance formula, R = ρl/A, and how it relates to the dimensions of the cylindrical rod. Questions arise about the interpretation of 'curved surface' and the implications of the dimensions provided in the problem.

Discussion Status

Some participants have offered clarifications regarding the geometry of the problem and the formula to use. There is an acknowledgment of a potential error in the diameter provided by the original poster, which may affect the calculations. The discussion is ongoing, with participants exploring different interpretations and approaches.

Contextual Notes

The original poster is working under the constraints of a homework assignment, which may impose specific requirements for the calculations and interpretations. There is a noted confusion regarding the dimensions and terminology used in the problem statement.

Sanosuke Sagara
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(a) Find the resistance between two opposite edge faces of a piece of square carbon film of thickness 5.0 x 10^-7 n,if the resistivity of carbon is 4.0 x 10^-5 ohm meter.

(b) A carbon film of the same thickness is formed on an insulator rod of diameter 3.0m.What is the length of the rod so that the carbon film on its curve surface has a resistance of 100 ohm ?

Question (a) and (b) is continuous and I have no problem with question (a).My problem is question (b) and I can't really understand with the question and I can't imagine out the figure.

I want to ask whether there is any relationship of answers in question (a) in solving the qiestion (b) and I really need someone to explain to me the phrase 'curve surface' .

Thanks for anybody that spend some time on this question and I really need explanation for this question.
 
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Think of a cylinder, the curved surface is well, the surface that isn't the ends.

Could you not just use the formula, [tex]R = \frac{\rho l}{A}[/tex] and solve for l? R is the resistance, [itex]\rho[/itex] is the resistivity and A is the cross sectional area.
 
Solution and some suggestion to solve the question

I have try to solve this question for a long time and I really can't find the correct answer.I have my doubt,solution to the question in the attachment that followed.Thanks for anybody that spend some time on this qustion.
 

Attachments

Sanosuke Sagara said:
I have try to solve this question for a long time and I really can't find the correct answer.I have my doubt,solution to the question in the attachment that followed.Thanks for anybody that spend some time on this qustion.
Judging by your attached document, the correct diameter of the rod in part b) is 3.0 mm, rather than 3.0m. Using 3.0 mm the given answer is realized by following exactly the same approach I suggested in your previous problem. Find the resistance from one end to the other of a thin walled cylinder by finding the cross-sectional area of the cylinder walls, and the length of the cylinder. Here you know the resistance and must solve for the length.
 
Thanks for your help OlderDan and I really appreciate it because I have really understand with the question and thanks for your explanation.
 

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