1.

The transfer function C (s)/ R (s) of the system, whose block diagram is given below is

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>G<sub>1</sub>G<sub>2</sub></center></td></tr><tr><td style="text-align: center;">1 + G<sub>1</sub>H<sub>1</sub>+G<sub>2</sub>H<sub>2</sub> - G<sub>1</sub>G<sub>2</sub>H<sub>1</sub>H<sub>2</sub></td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>G<sub>1</sub>G<sub>2</sub></center></td></tr><tr><td style="text-align: center;">1 + G<sub>1</sub>H<sub>1</sub>+G<sub>2</sub>H<sub>2</sub> + G<sub>1</sub>G<sub>2</sub>H<sub>1</sub>H<sub>2</sub></td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>G<sub>1</sub>G<sub>2</sub></center></td></tr><tr><td style="text-align: center;">1 + G<sub>1</sub>H<sub>1</sub>+G<sub>2</sub>H<sub>2</sub></td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>G<sub>1</sub>(1 + G<sub>2</sub>H<sub>2</sub>) + G<sub>2</sub>(1 + G<sub>1</sub>H<sub>1</sub>)</center></td></tr><tr><td style="text-align: center;">1 + G<sub>1</sub>H<sub>1</sub>+G<sub>2</sub>H<sub>2</sub> + G<sub>1</sub>G<sub>2</sub>H<sub>1</sub>H<sub>2</sub></td></tr></table>
E.
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>G<sub>1</sub>G<sub>2</sub></center></td></tr><tr><td style="text-align: center;">1 + G<sub>1</sub>H<sub>1</sub>+G<sub>2</sub>H<sub>2</sub></td></tr></table>


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