For block diagram shown below, \(\mathrm{C}(s) / \mathrm{R}(s)\) is given by

(a) \(\frac{\mathrm{G}_{1} \mathrm{G}_{2} \mathrm{G}_{3}}{1+\mathrm{H}_{2} \mathrm{G}_{2} \mathrm{G}_{3}+\mathrm{H}_{1} \mathrm{G}_{1} \mathrm{G}_{2}}\)
(b) \(\frac{\mathrm{G}_{1} \mathrm{G}_{2} \mathrm{G}_{3}}{1+\mathrm{G}_{1} \mathrm{G}_{2} \mathrm{G}_{3} \mathrm{H}_{1} \mathrm{H}_{2}}\)
(c) \(\frac{\mathrm{G}_{1} \mathrm{G}_{2} \mathrm{G}_{3}}{1+\mathrm{G}_{1} \mathrm{G}_{2} \mathrm{G}_{3} \mathrm{H}_{1}+\mathrm{G}_{1} \mathrm{G}_{2} \mathrm{G}_{3} \mathrm{H}_{2}}\)
(d) \(\frac{\mathrm{G}_{1} \mathrm{G}_{2} \mathrm{G}_{3}}{1+\mathrm{G}_{1} \mathrm{G}_{2} \mathrm{G}_{3} \mathrm{H}_{1}}\)

Transcribed Image Text:

R(S) G G H G C(s)