We know that the power produced is given by the formula $P = \frac{V^2}{R}$, where $P$ is the power, $V$ is the voltage, and $R$ is the resistance. We can rearrange this formula to solve for $R$:
\[R = \frac{V^2}{P} = \frac{230^2}{90} = 587.8 \, \Omega\]
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