Answer:
The radius of the cable is 0.0083 m or 8.3 mm.
Explanation:
The resistance of copper cable of 1 meter length will be given by
.... (i)
where the resistivity of copper is
, and l is the length of the wire which is considered to be 1m, and a is the cross sectional area of the wire in
.
From the formula of power we know that,
.... (ii)
Therefore 2 W/m =
.... (iii)
where the resistance,R, actually means the resistance of the cable per meter.
Therefore R ( resistance of cable per meter)
=
ohms / meter. .... (iv)
Therefore from (i)
=
..... (v)
where cross sectional area of the cable, a =
,
where r is the radius of the cable, and length of cable,l = 1m.
Therefore r = ![\sqrt{\frac{ 1.7 \times 10^{-8}}{\pi \times 7.812 \times 10^{-5} } } = 0.0083m = 8.3 mm](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B%201.7%20%5Ctimes%2010%5E%7B-8%7D%7D%7B%5Cpi%20%5Ctimes%207.812%20%5Ctimes%2010%5E%7B-5%7D%20%7D%20%7D%20%20%3D%20%200.0083m%20%3D%208.3%20mm)