In a voltage series feedback amplifier, if Ri is the input resistance without feedback. then input resistance with feedback is:

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  1. \(\rm R_{if}=\frac{R_i}{1+Av\beta}\)
  2. Rif = Ri(1 - Avβ)
  3. Rif = Ri(1 + Avβ)
  4. Rif = R

Answer (Detailed Solution Below)

Option 3 : Rif = Ri(1 + Avβ)
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Detailed Solution

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Concept:

The comparison of different feedback configurations is as follows:

Parameter

Voltage - Series

Current - Series

Current - Shunt

Voltage-Shunt

Input Resistance

Increases

\({R_{if}} = {R_i}\left( {1 + A\beta } \right)\)

Increases

\({R_{if}} = {R_i}\left( {1 + A\beta } \right)\)

Decreases

\({R_{if}} = \frac{{{R_i}}}{{1 + A\beta }}\)

Decreases

\({R_{if}} = \frac{{{R_i}}}{{1 + A\beta }}\)

Output Resistance

Decreases

\({R_{if}} = \frac{{{R_i}}}{{1 + A\beta }}\)

Increases

\({R_{if}} = {R_i}\left( {1 + A\beta } \right)\)

Increases

\({R_{if}} = {R_i}\left( {1 + A\beta } \right)\)

Decreases

\({R_{if}} = \frac{{{R_i}}}{{1 + A\beta }}\)

 

A voltage series feedback amplifier configuration is as shown:

F2 S.B M.P 25.09.19 D3

\(\Rightarrow {Z_{in}}\left( {Input\;impedance} \right) = \frac{{{V_s}}}{{{I_s}}} = \frac{{{V_i} + {V_f}}}{{{I_s}}}\)

\(\Rightarrow \frac{{{V_i} + \beta {V_0}}}{{{I_s}}} = \frac{{{V_i} + \beta A{V_i}}}{{{I_s}}}\)

\( \Rightarrow {Z_{in}} = \frac{{{V_i}\left( {1 + \beta A} \right)}}{{{I_s}}} = {r_i}\left( {1 + \beta A} \right)\)
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