Answer
In each section of wire, energy is lost to thermal energy at a rate of $~~0.0043~W$
Work Step by Step
In part (a), we found that the current in the circuit is $~~i = 1.99928~A$
In part (a), we found that the resistance in each section of wire is $~~R_w = 0.00108~\Omega$
We can find the rate at which energy is lost to thermal energy in each section of wire:
$P = i^2~R_w$
$P = (1.99928~A)^2(0.00108~\Omega)$
$P = 0.0043~W$
In each section of wire, energy is lost to thermal energy at a rate of $~~0.0043~W$