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GATE EC 2014 Set 3 — Question 30

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MCQ+1 / -0.33EasyBlock Diagram ReductionSystem ModellingControl SystemsTransfer Function

Control Systems → System Modelling → Block Diagram Reduction

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Question

Consider the following block diagram in the figure.
A feedforward block diagram with input R(s) and output C(s). R(s) branches into three paths: one to block G1, one to a first summer, and one to a second summer. The output of G1 goes to the first summer. The output of the first summer goes to block G2. The output of G2 goes to the second summer, which produces C(s).
The transfer function C(s)R(s)\frac{C(s)}{R(s)} is
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