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In the following block diagram, G1=10/s G2=10/s+1 H1=s+3, H2=1. The overall transfer function is given by :

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In the following block diagram, G1=10/s G2=10/s+1 H1=s+3, H2=1. The overall transfer function is given by :

(a) 10/11s^2+31s+10

(b) 100/11s^2+31s+100

(c) 100/11s^2+31s+10

(d) 100/11s^2+31s

I got this question during a job interview.

The doubt is from Block diagram Algebra topic in chapter Mathematical Models of Physical Systems of Control Systems

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The correct choice is (b) 100/11s^2+31s+100

The best explanation: C/R=G2G1/1+G2H2+G1G2H2

 C/R=100/11s^2+31s+100.

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