Determine Kn (constant) of MOSFET easyway

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SUMMARY

The discussion focuses on extracting the Kn constant from the MOSFET datasheet, specifically using the IRF510 model. The key formula derived is Kn = (gfs)^2 / (4 * Id), where gfs is the transconductance parameter, yielding a Kn value of 124 mA/V² for the IRF510 at Id = 3.4 A. The user also explores the relationship between Kn, Vgs, and Vth in saturation conditions, leading to a secondary calculation of Kn resulting in 248.529 mA/V². The user encounters issues with low output voltage (Vds) in their LTSpice simulation, prompting a request for troubleshooting assistance.

PREREQUISITES
  • Understanding of MOSFET parameters, specifically gfs and Id
  • Familiarity with the IRF510 MOSFET specifications
  • Knowledge of LTSpice simulation software
  • Basic concepts of transistor saturation and circuit analysis
NEXT STEPS
  • Research the impact of gate-source voltage (Vgs) and threshold voltage (Vth) on MOSFET operation
  • Learn about LTSpice circuit simulation techniques for accurate MOSFET modeling
  • Explore the effects of load resistance on MOSFET output characteristics
  • Investigate alternative methods for calculating Kn in different MOSFETs
USEFUL FOR

Electrical engineers, circuit designers, and students involved in MOSFET analysis and simulation, particularly those working with LTSpice and the IRF510 model.

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long time when i had tried more on how to extracting Kn from mosfet datasheet
finally i found it;
i datasheet look at gfs parameter with its details
lets take IRF510
----------------------------------------------------------
gfs------------ 1.3 ----------- @3.4 A ----------- simens
----------------------------------------------------------
gfs is another name of Gm

thus
Kn= (gfs)^2 / (4*Id) where Id specified in datasheet under test condations of gfs

Kn= (1.3)^2 / (4 * 3.4) = 124 mA/V2

please if =there are something wrong in my calculation then do not stop reply and give us your opinions
 
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Well in saturation,

I = kn/2 * W/L * (Vgs - Vth)^2

Or = Kn/2 * (Vgs - Vth)^2 if you include W/L in kn.

Then Gm = Kn * (Vgs - Vth)

Thus, Kn = (Gm^2)/(2I)

putting values, = 1.3^2 / 2*3.4 = 248.529 mA/V^2
 
there is something strange in my lt-spice
when i build my circuit mosfet with voltage divider + NO Rs (@Source Lead)
i did not get the corresponding Id current WHY?

my parameter:
R1=R2=100K
Rd=400
Id=10 mA
where i used IRF510 with Kn= gfs^2 / 4Id = (1.3)^2 / (4 * 3.4 ) = 124 mA/v2
i want to see at least V0= 1 or more than this

but unfortunately i see very small voltage on Vds about 200 mV

please some one help me
 
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