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Chapter 8: Problem 10

If a JFET having a specified value of \(r_{d}=100 \mathrm{k} \Omega\) has an ideal voltage gain of \(A_{v}(\mathrm{FET})=-200\), what is the value of \(g_{m}\) ?

Short Answer

Expert verified
The value of \(g_{m}\) is \(-2 \mathrm{\mu S}\).

Step by step solution

01

Identify given parameters

The given parameters are \(r_{d} = 100 \mathrm{k} \Omega\) and \(A_{v}(\mathrm{FET}) = -200\).
02

Use the relation

The relation between the voltage gain, drain resistance and transconductance for a JFET is given by \(A_{v}(\mathrm{FET}) = g_{m} \cdot r_{d}\).
03

Solve for \(g_{m}\)

Substituting the given values to solve for \(g_{m}\), we get \[g_{m} = \frac{A_{v}(\mathrm{FET})}{r_{d}} = \frac{-200}{100 \mathrm{k} \Omega}\]

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Most popular questions from this chapter

Calculate the value of \(g_{m}\) for a JFET \(\left(I_{D S S}=12 \mathrm{~mA}, V_{P}=-3 \mathrm{~V}\right)\) at a bias point of \(V_{G S}=\) \(-0.5 \mathrm{~V}\)

a. Plot \(g_{m}\) versus \(V_{G S}\) for an \(n\) -channel JFET with \(I_{D S S}=12 \mathrm{~mA}\) and \(V_{P}=-6 \mathrm{~V}\). b. Plot \(g_{m}\) versus \(I_{D}\) for the same \(n\) -channel JFET as part (a).

Determine the pinch-off voltage of a JFET with \(g_{m 0}=10 \mathrm{mS}\) and \(I_{D S S}=12 \mathrm{~mA}\).

Sketch the ac equivalent model for a JFET if \(I_{D S S}=10 \mathrm{~mA}, V_{P}=-4 \mathrm{~V}, V_{G S_{Q}}=-2 \mathrm{~V}\), and \(g_{o s}=25 \mu \mathrm{S} .\)

For a JFET having device parameters \(g_{m 0}=5 \mathrm{mS}\) and \(V_{P}=-4 \mathrm{~V}\), what is the device current at \(V_{G S}=0 \mathrm{~V} ?\)
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