Question

Transfer function of a system is used to calculate which of the following ?
(A) The order of the system
(B) The time constant
(C) The output for any given input
(D) The steady state gain
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Answer 1

Answer:

Option C

Explanation:

The output for any given input

Answer 2

Concept: A transfer function is defined as the ratio of the Laplace transform of the output of the Laplace transform of the input by assuming initial conditions are zero.

TF=L[output]/L[input]

$TF=\frac{C(s)}{R(s)}$

So the transfer function of the system is used to calculate the output for a given input.

For unit impulse input i.e $r(t)=\delta(t)$

$\Rightarrow R(s)=\delta(s)=1$

Now transfer function =C(s)

Therefore, the transfer function is also known as the impulse response of the system.

Transfer function =L[IR]

$IR=L^{-1}[TF]$

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