Answer:
Length of wire will be equal to 0.01436 m
Explanation:
We have given resistance R = 1.16 ohm
Diameter of the wire d = 1.628 mm
So radius [tex]r=\frac{d}{2}=\frac{1.628}{2}=0.814mm=0.814\times 10^{-3}m[/tex]
So cross sectional area [tex]A=\pi r^2=3.14\times (0.814\times 10^{-3})^2=2.08\times 10^{-6}m^2[/tex]
Electrical resistivity of copper [tex]\rho =1.68\times 10^{-8}ohm-m[/tex]
We have to find the length of the wire
We know that resistance is given by
[tex]R=\frac{\rho l}{A}[/tex]
[tex]1.16=\frac{1.68\times 10^{-8} \times l}{2.08\times 10^{-6}}[/tex]
[tex]l=1.436\times 10^{-2}m=0.01436m[/tex]
So length of the wire will be equal to 0.01436 m
