MOSFET transistor equations

Here we explain MOSFET transistor equations and we know MOSFET is a multiple junction semiconductor device, multiple parameters make enormous equations based on MOSFET.

So in this post, we include some of the important MOSFET transistor equations.

N-MOSFET equations

Cut-off region

  • Drain current – iD= 0
  • Gate to source voltage = VGS < VTN

Linear region

  • Drain current – Id= Kn (W/L). (VGS – VTN)VDS
  • Gate to Source voltage = VGS > VTN
  • Gate to drain voltage = VGD > VTN

Saturation region

  • Drain current – Id= ½ Kn (W/L). (VGS – VTN)2
  • Gate to source voltage = VGS > VTN
  • Gate to drain voltage = VGS < VTN

Threshold voltage equation

                               VTN = VTO + ℽ(√2ϕf + VSB – √2ϕf)

Transconductance equation

                               gm=2ID/ VGS – VTN

Maximum operating frequency equation

                               fT= gm/ 2π(Cgs + Cgd)

P-MOSFET equations

Cutoff region

  • Drain current – iD= 0
  • Gate to source voltage = VGS > VTP

Linear region

  • Drain current – iD= Kp (W/L) . (VGS – VTP) VDS
  • Gate to source voltage = VGS < VTN
  • Gate to drain voltage = VGD < VTN

Saturation region

  • Drain current – iD= ½ Kp (W/L) . (VGS – VTP)2 . (1+λ . VDS)
  • Gate to source voltage = VGS < VTP
  • Gate to drain voltage = VGD > VTP

Threshold voltage equation

                              VTP = VTO + ℽ (√2ϕf + |VSB| – √2ϕf)

Transconductance of equation

                                        gm=2ID/ VGS – VTP

Maximum operating frequency

                                         FT = gm/ 2π(Cgs + Cgd)

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