By considering standard notations, the transfer function of a tachometer is of the form

Question

Question

This question was previously asked in

UPSC ESE (Prelims) Electronics and Telecommunication Engineering 19 Feb 2023 Official Paper

Answer 1

The correct option is 1

Concept:

Output = e(t)

Input = (t)

\({\rm{e}}\left( {\rm{t}} \right) \propto \frac{{{\rm{d\theta }}\left( {\rm{t}} \right)}}{{{\rm{dt}}}}\)

Taking LT,

E(s) = Kts θ(s)

\(\Rightarrow {\rm{TF}} = \frac{{E\left( S \right)}}{{\theta\left( S \right)}} = {{\rm{k}}_t}s\)