Calculating the Total Resistance of a Composite Wire

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Homework Help Overview

The problem involves calculating the total resistance of a composite wire made of two different materials, copper and aluminum, each with specified lengths and a common diameter. A voltage difference is applied across the wire, and the original poster is seeking assistance in determining the total resistance.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster attempts to apply the resistance formula R = ρL/A for both materials but encounters issues with their calculations. Some participants suggest checking the order of operations and ensuring that units are correctly applied. There is also a mention of significant figures affecting the final answer.

Discussion Status

The discussion is ongoing, with participants exploring potential calculation errors and the importance of significant figures. Guidance has been offered regarding the correct input for calculations, but the original poster continues to seek clarification on their approach.

Contextual Notes

There is a noted constraint regarding the requirement for the answer to be expressed in two significant figures, which may have contributed to the confusion in the calculations.

ninanoorable
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Homework Statement



A 10.0 length of wire consists of 5.0 of copper followed by 5.0 of aluminum, both of diameter 1.3 . A voltage difference of 87 is placed across the composite wire.What is the total resistance (sum) of the two wires?

Homework Equations



R=pL/A

The Attempt at a Solution


R1=1.72*10-8 *5/3.14*(0.65*10-3)2 and I've done the same method for R2 and added them to get R total..but it was wrong..i thought this question is simple..but idon't know why i couldn't solve it..help please..thanks
 
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ninanoorable said:

Homework Statement



A 10.0 length of wire consists of 5.0 of copper followed by 5.0 of aluminum, both of diameter 1.3 . A voltage difference of 87 is placed across the composite wire.What is the total resistance (sum) of the two wires?

Homework Equations



R=pL/A

The Attempt at a Solution


R1=1.72*10-8 *5/3.14*(0.65*10-3)2 and I've done the same method for R2 and added them to get R total..but it was wrong..i thought this question is simple..but idon't know why i couldn't solve it..help please..thanks

hello,

it seems your idea is right. it would help if you supplied units for the given quantities.

there may be some problems with order of operations when you plug the numbers in. here is how you should type it into your calculator (you don't need all the spaces, i just put them into make it easier to read):

1.72 * 10^-8 * 5 / ( 3.14 * (0.65 * 10^-3)^2 )
 


thank you..but it didn't work either..i just donno what's wrong
 


mmm.i've just found what was wrong after using all my attempts...it's silly ..the site wanted the answer in 2 significant figures...
 


oh dear, that can be frustrating. one must try to find the humor in these things else one might punch a hole in one's computer screen. :smile:
 

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