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Control Systems
Transfer Function

Practice questions from Transfer Function.

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Q#1 Transfer Function GATE EE 2024 (Set 1) MCQ +1 mark -0.33 marks

For the block-diagram shown in the figure, the transfer function  is        

Explanation:

By Mason's gain formula, 

 and

No non touching loop pair

Only forward path

 

Q#2 Transfer Function GATE EE 2023 (Set 1) MCQ +1 mark -0.33 marks

For the block diagram shown in the figure, the transfer function  is

Explanation:

Various signals in block diagram are marked below

Transfer Function

Q#3 Transfer Function GATE EE 2023 (Set 1) MCQ +1 mark -0.33 marks

A continuous-time system that is initially at rest is described by

where  is the input voltage and  is the output voltage. The impulse response of the system is

Explanation:

Differential equation of system is,

Take Laplace Transform both sides

sY(s) + 3Y(s) = 2X(s)


Transfer Response,