Answer:
Length of copper wire, l = 785 meters
Explanation:
Given that,
Resistance of the copper wire, R = 0.172 ohms
Area of cross section, [tex]A=7.85\times 10^{-5}\ m^2[/tex]
Resistivity of copper, [tex]\rho=1.72\times 10^{-8}\ \Omega-m[/tex]
The resistance of a wire is given by :
[tex]R=\rho\dfrac{l}{A}[/tex]
[tex]l=\dfrac{RA}{\rho}[/tex]
[tex]l=\dfrac{0.172\ \Omega\times 7.85\times 10^{-5}\ m^2}{1.72\times 10^{-8}\ \Omega-m}[/tex]
l = 785 meters
So, the length of the copper wire is 785 meters. Hence, this is the required solution.
The length of copper wire will be l = 785 meters
It is given that,
Resistance R = 0.172 ohms
Area of cross-section,
[tex]A=7.85\times10^5 m^2[/tex]
The resistivity of copper,
[tex]\rho=1.72\times10^{-8} \Omega m^-1[/tex]
So the resistance of the copper wire will be
[tex]R=\dfrac{\rho l}{A}[/tex]
[tex]l=\dfrac{RA}{\rho}[/tex]
Now putting the values
[tex]l=\dfrac{0.172\times7.85\times10^{-5}}{1.72\timews10^{-8}}[/tex]
[tex]l=785\ meters[/tex]
Thus the length of copper wire, will be l = 785 meters
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