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While incorporating lead-compensation network, the gain factor of the amplifier is given as ______.

This question was previously asked in
HPCL Engineer Electrical 11 Aug 2021 Official Paper
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  1. \(\frac{1}{\alpha^2}\)
  2. α
  3. α2
  4. \(\frac{1}{\alpha}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{1}{\alpha}\)
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Detailed Solution

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Lead compensation amplifier:

F2 Savita Engineering 7-7-22 D26

The output of an inverting amplifier is given by:

\( {0-V_{in}(s)\over{1/sC}+R}+{{0-V_{out}(s)}\over R_f}=0\)

\(T(s)= {V_o(s)\over V_{in}(s)}={-sR_fC\over1+sRC}\)

\(|T(s)|={sR_fC\over1+sRC}\)

\(|T(s)|={R_f/R\over{1+{1\over{sRC}}}}\)

The location of the poles is given by:

 \(1+ {1 \over sRC}=0\)

\(s = {-1 \over RC}\)

\(|s| = {1 \over \alpha}\)

α = Gain factor

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Q1.The transfer function of the lead compensator is:
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