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 =