Answer
$P=9.94\times10^{-4}W$
Work Step by Step
The rate at which thermal energy appears in 'R' can be determined as follows:
$P=i^2R$
Putting values in the above formula and solving:
$P=(1\times10^{-3})^2\times994$
$P=994\times10^{-6}=9.94\times10^2\times10^{-6}=9.94\times10^{-4}W$
$P=9.94\times10^{-4}W$