Question: 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}

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

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

(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) $\frac{\mathrm{G}_{1} \mathrm{G}_{2} \mathrm{G}_{3}}{1+\mathrm{G}_{1} \mathrm{G}_{2} \mathrm{G}_{3} \mathrm{H}_{1}}$

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

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