Voltage-divider biased JFET: Is the drain current ID at its maximum value when VGS = 0 V?

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
Bias curves for JFETs show how gate-to-source voltage (VGS) controls the drain current (ID). A common memory point is that the maximum ID under normal operation occurs at VGS = 0 V and is denoted by IDSS. Recognizing this helps designers quickly estimate operating points in voltage-divider bias networks.


Given Data / Assumptions:

  • JFET is operating in its normal region with the gate-channel junction reverse-biased.
  • VGS controls channel pinch through depletion width.
  • IDSS is defined as ID at VGS = 0 V.
  • Shockley equation models behavior: ID = IDSS * (1 − VGS/VP)^2 for VGS between 0 and VP (negative for n-channel).


Concept / Approach:
As VGS becomes more negative (for n-channel) or more positive (for p-channel), the channel is pinched more strongly, reducing ID. Therefore, when VGS is at 0 V, the gate exerts the least depletion effect, giving the maximum drain current IDSS for a given device and temperature.


Step-by-Step Solution:

Recall the defining parameter: IDSS is ID at VGS = 0 V.Apply Shockley relation: ID decreases as |VGS| increases toward |VGS(OFF)|.Conclude: maximum ID in passive gate bias occurs at VGS = 0 V.Use divider bias to set VGS near desired operating point below IDSS for linear operation.


Verification / Alternative check:
Examine ID–VGS transfer curve in any JFET datasheet: the peak of the curve at the left (for n-channel) corresponds to VGS = 0 V with value IDSS, confirming the claim.


Why Other Options Are Wrong:

Incorrect: conflicts with the definition of IDSS.Only p-channel: it is true for both polarities with respective sign conventions.Only if VDS = 0 V: at VDS = 0 V there is no channel voltage; IDSS is defined under proper VDS (saturation region), not at zero.True only when IDSS = 0: if IDSS were zero, the device would not conduct at VGS = 0 V.


Common Pitfalls:
Mixing up conventional current with carrier motion; forgetting that IDSS assumes operation in the saturation (active) region; assuming IDSS at any VDS without checking datasheet test conditions.


Final Answer:
Correct

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