For a tachometer, ie θ(t) is the an rotor displacement in radians, e(t) is the output voltage and kt is the tachometer constant in V/rad/sec, then the transfer function \(\frac{{E\left( S \right)}}{{\theta\left( S \right)}}\) will be:

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ISRO (VSSC) Technical Assistant Electrical 2017 Official Paper
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  1. Kts2
  2. \(\frac{{k_t}}{s}\)
  3. Ks
  4. Kt

Answer (Detailed Solution Below)

Option 3 : Ks
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Detailed Solution

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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)

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

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