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Question 18.5: Estimate the input resistance, output resistance, small-sign......

Estimate the input resistance, output resistance, small-signal voltage gain and lower cut-off frequency of the following circuit, given that g_{m} = 72  mS .

e18.5 1103007
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Much of the analysis is similar to that of earlier examples. From the above we have

\begin{matrix} r_{i} \approx R_{1}//R_{2} = 1  MΩ//2  MΩ = 667  kΩ  \\ r_{o} ≈ R_{D} = 3.3  kΩ \\ \frac{v_{o}}{v_{i}} \approx – \frac{R_{D}}{R_{S}} = -\frac{3.3  kΩ}{1  kΩ} = -3.3  \end{matrix}

The lower cut-off frequency is given by

f_{o} ≈ \frac{1}{2 \pi r_{i} C} = \frac{1}{2 × \pi × 667 × 10^{3} × 1 × 10^{-6}} = 0.24  Hz

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