Step 1: Understand pinch-off
In an n-channel JFET, pinch-off is the condition beyond which the drain current \( I_D \) becomes almost constant with respect to \( V_{DS} \). Step 2: Condition for pinch-off
To operate in pinch-off:
- \( V_{GS} \) must be negative (reverse bias gate)
- The drain-source voltage \( V_{DS} \) must be high enough so that:
\[
V_{DS} \geq V_{GS} - V_P
\]
Where:
- \( V_P \) is the pinch-off voltage (positive in magnitude for n-channel)
- \( V_{GS} \leq 0 \)
So we need:
\[
V_P \leq V_{GS} \leq 0 \text{AND} V_{DS} \geq (V_{GS} - V_P)
\]
Therefore, the JFET enters saturation (active) region, and current saturates.
\[
\boxed{\text{Correct condition: } V_P \leq V_{GS} \leq 0 \text{ and } V_{DS} \geq (V_{GS} - V_P)}
\]