Answer
$W_R=67 J$
Work Step by Step
Let energy dissipated as thermal energy in wire be $W_R$
$W_R=Pt$
We also know that power $P$ is given as
$P=i^2R$
Thus $W_R=i^2Rt$
We plug in the known values to obtain:
$W_R=(0.33)^2\times 5\times (2\times 60 sec)$
$W_R=66.7J \approx =67 J$
