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Q#1 Transfer Function GATE EC 2023 MCQ +2 marks -0.66 marks

In the following block diagram,  and  are two inputs. The output  is expressed as

.  and  are given by

 and

 and

 and

 and

     

Explanation:

Given, block diagram,

Considering first R(s) only so making D(s) =0,  then Y(s) is

   

 

 

 

 

So we get  as follows

So option (a,d) will be one of the correction answer.

 

Now considering  only making R(s)=0, then  is

 

 

 

So we get as follows

 

Hence,  and  both are equal.

So correct option is (a)

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