Question
Consider a n-channel JFET. Draw the transfer characteristics curve. Show that the drain current is independent of drain voltage after pinch off. If the donor concentration increases in the substrate, then how will it affect the drain current?
Step 1
Transfer Characteristics Curve: The transfer characteristics curve of an n-channel JFET shows the relationship between the drain current (ID) and the gate-source voltage (VGS) for different values of drain-source voltage (VDS). The curve is typically a set of Show more…
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Consider a one-sided silicon n-channel JFET at $T=300 \mathrm{~K}$, pinched off as shown in Figure P13.33. The source-to-gate and drain-to-gate reverse-biased currents are split geometrically as shown. Assume that the reverse-biased currents are dominated by the generation current. Assume the following parameters: $$ \begin{array}{rlrl} N_{a} & =5 \times 10^{18} \mathrm{~cm}^{-3} & N_{d} & =3 \times 10^{16} \mathrm{~cm}^{-3} \\ \tau_{0} & =5 \times 10^{-8} \mathrm{~s} & a & =0.30 \mu \mathrm{m} \\ W & =30 \mu \mathrm{m} & L & =2.4 \mu \mathrm{m} \end{array} $$ Calculate $I_{D G}$ for $(a) V_{D S}=0,(b) V_{D S}=1 \mathrm{~V}$, and $(c) V_{D S}=5 \mathrm{~V} .[$ Use Equation $(8.42)$ and consider the volume of the depletion region.]
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