Solve MOSFET Confusion: Establish 0.8mA & 1.5V with Parameters VT, μpCox, L, λ

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Discussion Overview

The discussion revolves around solving a problem related to a MOSFET circuit, specifically establishing a drain current of 0.8 mA and a voltage VD of 1.5V using given parameters such as threshold voltage (VT), mobility (μpCox), channel length (L), and channel length modulation (λ). Participants are attempting to determine the transistor width (W) and the resistance of a resistor (R) in the circuit.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant initially proposes using the equation ID=(1/2)μnCox(W/L)V2OV to find the width W but expresses confusion about the results.
  • Another participant suggests using the relationship VGS-VT=VOV, assuming VGS equals VDD (2.5V), leading to a calculated VOV of 1.9V and a width W of 1.108.
  • A different participant questions the assumption that VGS can equal 2.5V if the source voltage is +2.5V.
  • There is a correction regarding the calculation of the resistor R, with one participant asserting that if VD is 1.5V, the voltage drop across the resistor must be 1.5V, leading to a recalculated resistance of 1875Ω.
  • Participants discuss the need to clarify the source voltage and its implications on the calculations, with one confirming that VDD is indeed given as 2.5V.
  • Another participant concludes that VGS must equal 1V, derived from the difference between the source and drain voltages, and expresses intent to continue working with this value.

Areas of Agreement / Disagreement

Participants express differing views on the correct approach to calculating the resistor value and the width of the MOSFET. There is no consensus on the equations or assumptions being used, and the discussion remains unresolved regarding the correct calculations and methodology.

Contextual Notes

Participants highlight uncertainties regarding the definitions of voltages in the circuit and the appropriate equations to use, indicating that some assumptions may not be clearly stated or agreed upon.

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Homework Statement


The diagram:
http://images.fr1ckfr4ck.fastmail.fm/probC.jpg
This MOSFET has the following parameters:
  • |VT| = 0.6V
  • μpCox = 100 (μa/V2)
  • L = 0.25μm
  • λ = 0

Establish a drain current of 0.8 mA and a voltage VD of 1.5V.

Determine the transistor width W, and the resistance of resistor R, that meet the above drain current and voltage.

Homework Equations



see below

The Attempt at a Solution



First I dove into my bag of equations for the one involving MOSFETS which had both μpCox and W/L in it.

The best looking one I found was;
ID=(1/2)μnCox(W/L)V2OV

and when I fill in the appropriate values, I get a width that just doesn't make sense. I don't think I'm using the right equation but I don't know where to look.
 
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Update, I think I figured out that I can use VGS-VT=VOV

because VGS should = VDD = 2.5V

so VOV=2.5-0.6 = 1.9V

Plugging that into the above equation for ID gets me W=1.108

Also for the resistor I used
RD=(VDD-VD)/ID
= (2.5V-1.5V)/.08mA = 1250Ω
 
vermin said:
Update, I think I figured out that I can use VGS-VT=VOV

because VGS should = VDD = 2.5V

Whence this? If the source voltage is +2.5V then Vgs can't be 2.5V.
 
Establish a drain current of 0.8 mA and a voltage VD of 1.5V.

Also for the resistor I used
RD=(VDD-VD)/ID
= (2.5V-1.5V)/.08mA = 1250Ω

Perhaps I've missed something but if Vd = 1.5 the voltage drop across the resistor is 1.5V. The drain current flowing through R is 0.8mA so R is easy to calculate from Ohms law. It's not 1250Ω.
 
Is the source voltage (the power supply voltage) specified in the problem statement?
 
CWatters said:
Is the source voltage (the power supply voltage) specified in the problem statement?

R is obvious, as you say

In the OP's second post he mentions Vdd = 2.5V so I assume that's the source voltage.
 
Right sorry Vdd was given as 2.5V.

So. yeah. voltage across the resistor must be 1.5V, I_D is .8mA so R_D=V_D/I_D=1.5/.0008=1875ohms
That does seem obvious.

But now how do I go about solving for the Width? All I have are these equations I don't understand fully, and I know that I need V_OV to use the one I mentioned above. To get V_OV I need to know V_GS and I don't see how to find that...
 
vermin said:
Right sorry Vdd was given as 2.5V.

But now how do I go about solving for the Width? All I have are these equations I don't understand fully, and I know that I need V_OV to use the one I mentioned above. To get V_OV I need to know V_GS and I don't see how to find that...

You do know Vgs.

Vg = Vd (look at the scematic) and Vs = Vdd = 2.5V. And by now you know Vd.
 
so Vgs must = Vs-Vd = 2.5V-1.5V = 1V. Ok I will work with that and see where it gets me.
 
  • #10
vermin said:
so Vgs must = Vs-Vd = 2.5V-1.5V = 1V. Ok I will work with that and see where it gets me.

Good move.
 

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