A wire of diameter D= 2 mm and uniform temperature T has an electrical
resistance of 0.01Ω /m and a current flow of 20 A.
a) What is the rate at which heat is dissipated per unit length of wire? What is
the heat dissipation per unit volume within the wire?
b) If the wire is not insulated and is in ambient air and large surroundings for
which T∞= Tsur= 20oC, what is the temperature T of the wire? The wire
has an emissivity of 0.3, and the coefficient associated with heat transfer
by natural convection may be approximated by an expression of the form,
h= C[(T- T∞)/D]1/4, where C= 1.25 W/m7/4 K
5/4
.
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