(a) $i_{g} = i\frac{S}{G + S} \Rightarrow 10 \times 10^{- 3} = \frac{S}{100 + S} \times 100 \times 10^{- 3}$ $90\ S = 1000 \Rightarrow S = \frac{1000}{90} = 11.11\ \Omega$
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Ph.D. in Physics with 19+ years of teaching experience.