Answer :
Answer:
The length will be "3.89 m".
Explanation:
The given values are:
Diameter,
d = 0.259 cm
On converting it in m, we get
d = 0.259 × 10⁻²
Resistance
R = 0.0124 Ω
As we know,
⇒ [tex]A=\pi (\frac{d}{2})^2[/tex]
On putting the estimated values, we get
[tex]=3.14(\frac{0.259\times 10^{-2}}{2})^2[/tex]
[tex]=5.266\times 10^{-6} \ m^2[/tex]
If, [tex]\rho = 1.68\times 10^{-8} \ \Omega.m[/tex]
then, [tex]R=\frac{\rho L}{A}[/tex]
[tex]L=\frac{RA}{\rho}[/tex]
On substituting the values, we get
[tex]=\frac{(0.0124)(5.266\times 10^{-6})}{1.68\times 10^{-8}}[/tex]
[tex]=3.89 \ m[/tex]