This is a problem that i want to solve but i can't really answer it. It's a sample problem from my book: The density of a copper is 8.89 is 8.89 g/cm^3 and the ρ=1924μΩ-cm. Determine the length(m) and resistance of 12kg of copper; the cross-section of which in 2.09mm^2.

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This is a problem that i want to solve but i can't really answer it. It's a sample problem from my book: The density of a copper is 8.89 is 8.89 g/cm^3 and the ρ=1924μΩ-cm. Determine the length(m) and resistance of 12kg of copper; the cross-section of which in 2.09mm^2.

Physics
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Copper wire can be considered as a cylinder. Here we have cross section given as 2.09 mm^2 To find length, we need to find the volume We have the density as 8.89 g/ cm^2 Mass= 12 kg Could you find the volume? Do remember to change mass in kg to grams, this will give you volume in cm^3
so 12000 g?
Yeah, now find volume Volume= mass/density

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Other answers:

density hai mass hai volume= length into cross section you can find length
1,349.83 cm^2 ?
@ash2326 @theyatin what do you think?
Yeah you're right. Sorry My battery was out of juice
than after i got the volume, whats next? getting the length?
*then
\[\text{Volume}= \text{Area of Cross section} \times \text{length}\]
length=volume/ area of cross section?
Yeah, remember to convert cross section into cm^2, it's given in mm^2 Then you'll get length in cm
length= 1,349.83 cm^2/0.209cm^2 ??
1 mm = 1/ 10 cm \[1 mm^2= \frac{1}{10\times 10} cm^2\]
.209 cm^2 ?
area of cross section=2.09 mm^2=2.09/100 cm^2
so 0.0209 cm^2 ?
yeah now you find length
length= 1,349.83 cm^2/0.0209cm^2 ?
64,585.17 ?
what would be the unit?
\[\frac{cm^3}{cm^2}\]???
oh i get it. its cm. cause i saw both cm^2
good, now you have the length. You need to find the resistance. Do you have any idea, how to find that?
resistance? R=v/i ?
that's right but there is one more relation relating resistance with the property of material and the dimensions of the wire. \[R=\rho(\text{micro ohms-cm}) \times \frac{\text{Length (in cm)}}{\text{Area of cross section(in cm^2)}}\] From this you'll get resistance in micro ohms
R=ρ(micro ohms-cm)×3090199.522 cm ?
then multiply it to 1924 ?
Yeah:D
5945643879 ?
Yeah this is right but this in micro ohms. Divide by 10^6 to get resistance in ohms
why divide it by 10^6 ?
Because resistance we found is in micro ohms \[1 micro ohm=\frac{1}{10^6} \text{ohms}\]
oh okay thanks so the answer will be 5945.54 ohms ?
Yeah:D
then whats next? ;D
Yeah that's all we found length and resistance Wait a min, we need to find length in meters. For that divide length in cm by 100 as 1 meter= 100 cms
so that must be 645.8517 ?
64585.17/100=>64.581517 meters
no its 645.8517
yeah, you're right. Sorry :(
its alright :) then whats next? we will repeat it again? because we got the wrong length?
nope, we found the resistance correctly. question asked length in meters that's why we changed it
oh thanks a lot. :D a massive thank you! God bless :D
welcome:D

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