BEGIN{ARRAY}{l}{V_{dc}} = \frac{{2{V_m}}}{\pi } = \frac{{2 \times 100 \times \sqrt 2 }}{\pi } = 90.03V\\{R_{TOTAL}} = \frac{{{V_{dc}}}}{{1mA}} = \frac{{90.03}}{{1mA}} = 90.03k{\rm{\Omega }}\\{\rm{Rs}} = 90.03k{\rm{\Omega }} - 100{\rm{\Omega }} = {\rm{}}89.93k{\rm{\Omega }}\END{array}\)