For a certain D-MOSFET, IDSS = 10 mA and VGS(off) = -8 V. Calculate ID at VGS = -4 V. 

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SSC JE Electrical 4 Dec 2023 Official Paper II
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  1. 20 mA
  2. 2.5 mA
  3. 50 mA
  4. 5 mA

Answer (Detailed Solution Below)

Option 2 : 2.5 mA
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Detailed Solution

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Concept:

Shockley's equation is given as:

\({I_D} = {I_{DSS}}{\left( {1-\frac{{{V_{GS}}}}{{{V_P}}}} \right)^2}\)

Where,

VGS = Gate to source voltage

IDSS = Drain to source saturation current

VP = Pinch-off voltage

ID = Drain current

Calculation:

Given,

VGS = -4 V

IDSS = 10 mA 

VGS(off) = Vp = -8 V

Drain current \({I_D} = {I_{DSS}}{\left( {1-\frac{{{V_{GS}}}}{{{V_P}}}} \right)^2} = {10\times10^{-3}}{\left( {1-\frac{{{-4}}}{{{-8}}}} \right)^2}=2.5\times10^{-3}\; A\)

ID = 2.5 mA

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