1.

Transfer function of the signal flow graph shown in Fig. is

A. \(\frac{{{G_1}{G_2}{G_4} + {G_1}{G_3}{G_4}}}{{1 + {G_1}{G_4}{H_1} + {G_1}{G_2}{G_4}{H_2} + {G_1}{G_3}{G_4}{H_2}}}\)
B. \(\frac{{{G_1}{G_2}{G_4} + {G_1}{G_3}{G_4}}}{{1 - {G_1}{G_4}{H_1} + {G_1}{G_2}{G_4}{H_2} + {G_1}{G_3}{G_4}{H_2}}}\)
C. \(\frac{{{G_1}{G_2}{G_4} + {G_1}{G_3}{G_4}}}{{1 - {G_1}{G_4}{H_1} - {G_1}{G_2}{G_4}{H_2} + {G_1}{G_3}{G_4}{H_2}}}\)
D. \(\frac{{{G_1}{G_2}{G_4} + {G_1}{G_3}{G_4}}}{{1 - {G_1}{G_4}{H_1} - {G_1}{G_2}{G_4}{H_2} - {G_1}{G_3}{G_4}{H_2}}}\)
Answer» C. \(\frac{{{G_1}{G_2}{G_4} + {G_1}{G_3}{G_4}}}{{1 - {G_1}{G_4}{H_1} - {G_1}{G_2}{G_4}{H_2} + {G_1}{G_3}{G_4}{H_2}}}\)


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