Answer
$R=100\Omega$
19% reduction in power
Work Step by Step
$P=\frac{V^2}R$ so $R=\frac{V^2}{P}$
$R=\frac{(100V)^2}{100W} = 100\Omega$
$P=\frac{(90V)^2}{100\Omega}=81W, 100W-81W=19W\div100W=19\%$
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