Answer
$243~J~~$ of electrical energy is transferred to thermal energy in 30 minutes.
Work Step by Step
We can find the rate at which thermal energy is generated:
$P = i^2~R$
$P =\frac{ i^2~\rho~L}{A}$
$P =\frac{(2.00~A)^2~(1.69\times 10^{-8}~\Omega\cdot m)~(4.00~m)}{2.00\times 10^{-6}~m^2}$
$P = 0.1352~W$
We can find the thermal energy generated in 30 minutes:
$E = P~t$
$E = (0.1352~W)(1800~s)$
$E = 243~J$
$243~J~~$ of electrical energy is transferred to thermal energy in 30 minutes.
