Design the following circuit in such a way that the MOSFET operates at a drain current, ip, v2 Problem 3 – Method of Assumed State for MOSFET [^2 pages] of 0.5 mA and v, = 0.5V. That is, find the value of Rp and Rs. Here, V, = 0.7V, K = 2 and R, = 10 kN. Note that you MUST verify your assumption! Use real MOSFET equations. %3D 2.5 V 5 V ip Rp R1 Vo VA Rs R1 -2.5 V -5 V www

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Problem 3 – Method of Assumed State for MOSFET [~2 pages]
Design the following circuit in such a way that the MOSFET operates at a drain current, ip,
mA
of 0.5 mA and v, = 0.5V. That is, find the value of R, and Rs. Here, Vr = 0.7V, K = 2
v2 !
and R1 = 10 kN. Note that you MUST verify your assumption! Use real MOSFET equations.
5 V
2.5 V
iD
R1
Rp
Vo
Rs
R1
-5 V
-2.5 V
Hint: Here are some questions that will guide you to the solution:
1. What is the value of the voltage vĄ? [Hint: Week 1, Lecture 1, Part 3, Last 4 minutes]
2. What is the gate voltage VG? [Hint: The gate is shorted to ..]
3. The value of in is given, and you know the voltage of the two terminals of Rp. What is
the equation relating ip, vo = 0.5V, and 2.5V?
4. Assume the MOSFET is in one of the states. Which one should you start with?
5. From the equation of ip for the state you assumed, find the value of Vs.
[Hint: Vcs = VG – Vs and Vps = Vp – Vs. What's the value of Vg? What about V,?
6. Is your assumption correct? Why or why not? If not, go back to step 4 and repeat for
another assumption.
7. Now you know the voltage of the two nodes of Rs and the current through it. Find Rs.
WwW-
Transcribed Image Text:Problem 3 – Method of Assumed State for MOSFET [~2 pages] Design the following circuit in such a way that the MOSFET operates at a drain current, ip, mA of 0.5 mA and v, = 0.5V. That is, find the value of R, and Rs. Here, Vr = 0.7V, K = 2 v2 ! and R1 = 10 kN. Note that you MUST verify your assumption! Use real MOSFET equations. 5 V 2.5 V iD R1 Rp Vo Rs R1 -5 V -2.5 V Hint: Here are some questions that will guide you to the solution: 1. What is the value of the voltage vĄ? [Hint: Week 1, Lecture 1, Part 3, Last 4 minutes] 2. What is the gate voltage VG? [Hint: The gate is shorted to ..] 3. The value of in is given, and you know the voltage of the two terminals of Rp. What is the equation relating ip, vo = 0.5V, and 2.5V? 4. Assume the MOSFET is in one of the states. Which one should you start with? 5. From the equation of ip for the state you assumed, find the value of Vs. [Hint: Vcs = VG – Vs and Vps = Vp – Vs. What's the value of Vg? What about V,? 6. Is your assumption correct? Why or why not? If not, go back to step 4 and repeat for another assumption. 7. Now you know the voltage of the two nodes of Rs and the current through it. Find Rs. WwW-
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