Answer
The maximum dissipation rate is $~~90.0~W$
Work Step by Step
At resonance, $I_{rms} = \frac{\mathscr{E}_{rms}}{R} = \frac{\mathscr{E}_m}{\sqrt{2}~R}$
We can find $I_{rms}$:
$I_{rms} = \frac{30.0~V}{\sqrt{2}~(5.00~\Omega)}$
$I_{rms} = 4.243~A$
We can find $P_{ave}$:
$P_{ave} = I_{rms}^2~R$
$P_{ave} = (4.243~A)^2~(5.00~\Omega)$
$P_{ave} = 90.0~W$
The maximum dissipation rate is $~~90.0~W$
