Current flows through the block of metal

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Homework Help Overview

The discussion revolves around a rectangular block of metal with specified dimensions and the effect of a potential difference on the current flowing through different faces of the block. The original poster seeks to relate the current observed between two specific faces of the block to the current observed between another pair of faces.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between current and resistivity, with some suggesting formulas involving geometric factors. Questions arise regarding the application of resistivity and the interpretation of the variables involved.

Discussion Status

Participants are actively engaging with the problem, offering hints and attempting to clarify the relationships between the variables. There is a mix of attempts to derive equations and expressions, but no consensus has been reached on the correct formulation or approach.

Contextual Notes

There is an emphasis on using specific variables and constants, such as resistivity, but some participants express confusion regarding the notation and the underlying concepts. The original poster's problem statement does not provide all necessary information, leading to varied interpretations.

court2011
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Homework Statement



Consider a rectangular block of metal of height A, width B, and length C, as shown in the figure below. If a potential difference V is maintained between the two A B faces of the block, a current IAB is observed to flow. Find the current that flows if the same potential difference V is applied between the two B C faces of the block. Give your answer in terms of IAB. (Use Iab for IAB, and A, B, and C, as necessary.)

http://www.webassign.net/walker/21-27.gif

Homework Equations





The Attempt at a Solution



I= Iab/Ibc

 
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Hi court2011! :smile:

Hint: resistivity :wink:
 


so it'll be I= pi a(b^2)/c?
 
(have a pi: π and a rho: ρ and try using the X2 tag just above the Reply box :smile:)

Sorry, not following you :redface:

what is? and why? :confused:
 


would the equation be (3.14)(a)(b2)/c
 

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