(a) $P = \frac{V^{2}}{R} \Rightarrow 100 = \frac{(200)^{2}}{R} \Rightarrow R = \frac{4 \times 10^{4}}{10^{2}} = 400\ \Omega$ Now,$\ i = \frac{V}{R} = \frac{100}{400} = \frac{1}{4}amp$
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