Discussion
The co-ordinates of the operating point (Q) for the following JFET circuit are ........
Answer: D
The operating point is \(V_{DS} = 15\) V, \(I_{D} = 5\) mA.
The divider sets the gate voltage, and the source voltage is taken to sit at about the gate voltage (that is, \(V_{GS} \approx 0\), the approximation the options are built on):
\[ \begin{aligned} V_{G} &= 30 \times \frac{1\ \text{M}\Omega}{3\ \text{M}\Omega} = 10\ \text{V} \\ I_{D} &\approx \frac{V_{G}}{R_{s}} = \frac{10\ \text{V}}{2\ \text{k}\Omega} = 5\ \text{mA} \\ V_{DS} &= 30 - 5\ \text{mA}(1 + 2)\ \text{k}\Omega = 15\ \text{V} \end{aligned} \]
The other options put \(V_{DS}\) in millivolts. With 5 mA the two resistors drop only 15 V, which leaves 15 V, not 15 mV, across the transistor. Currents of 15 mA or 10 mA through the 3 kΩ of \(R_{D}\) and \(R_{s}\) would need 45 V or 30 V, more than or all of the supply, and are inconsistent with a 10 V gate.
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